In a study of academic procrastination, researchers reported that for a random sample of 41 undergraduate students preparing for a psychology exam, the mean time spent studying was 11.9 hours with a standard deviation of 4.5 hours. Compute a 95% confidence interval for μ, the mean time spent studying for the exam among all students taking this course.

Answers

Answer 1

Answer:

The 95% confidence interval is  [tex]10.5 < \mu <13.3[/tex]

Step-by-step explanation:

From the question we are told that

     The  sample size is  [tex]n = 41[/tex]

      The  sample mean is  [tex]\= x = 11.9 \ hr[/tex]

       The standard deviation is  [tex]\sigma = 4.5[/tex]

For  a  95% confidence interval the confidence level is  95%

Given that the confidence level is 95% then the level of significance can be mathematically represented as

                  [tex]\alpha = 100 - 95[/tex]

                  [tex]\alpha = 5 \%[/tex]

                  [tex]\alpha = 0.05[/tex]

Next we obtain the critical values of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table

     The values is

                             [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the margin of error is mathematically represented as

                             [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{ \sqrt{n} }[/tex]

substituting values

                           [tex]E = 1.96 * \frac{ 4.5 }{ \sqrt{41} }[/tex]  

                           [tex]E = 1.377[/tex]

The 95% confidence interval is mathematically represented as

          [tex]\= x - E < \mu < \= x - E[/tex]

substituting values

         [tex]11.9 - 1.377 < \mu <11.9 + 1.377[/tex]

         [tex]10.5 < \mu <13.3[/tex]


Related Questions

Need help with this as soon as possible.

Answers

-4x^2-28x-68

hope this helped!

Step-by-step explanation:

Hello, there!!!

The answer is: -4x^2-28x-68.

See explanation in picture.

Hope it helps...

A segment with endpoints at $A(2, -2)$ and $B(14, 4)$ is extended through $B$ to point $C$. If $BC = \frac{1}{3} \cdot AB$, what are the coordinates for point $C$? Express your answer as an ordered pair.

Answers

Answer:

  C = (18, 6)

Step-by-step explanation:

You have ...

  AB : BC = 1 : 1/3 = 3 : 1

  (B -A) / (C -B) = 3/1 . . . . . another way to write the distance relation

  B -A = 3(C -B) . . . . . . . . . multiply by (C-B)

  4B -A = 3C . . . . . . . . . . . add 3B

  C = (4B -A)/3 . . . . . . . . . divide by 3 to get an expression for C

  C = (4(14, 4) -(2, -2))/3 = (54, 18)/3

  C = (18, 6)

I need help ASAP THANK YOU

Answers

Answer:

174 cm²

Step-by-step explanation:

The figure given is a prism with isosceles trapezoid as base.

Its surface area can be calculating the area of each face that makes up the prism, and summing all together.

There are 6 faces. Their dimensions and areas can be calculated as follows:

2 isosceles trapezium:

It has 2 parallel bases, (a and b), of 4cm and 6cm,

Height (h) = 2.8cm

Area = ½(a+b)*h

Area = ½(4+6)*2.8

Area = ½(10)*2.8 = 5*2.8 = 14 cm²

4 rectangles of different dimensions:

Rectangle 1 (down face): l = 10cm, b = 4cm

Area = 10*4 = 40 cm²

Rectangle 2 and 3 (side faces): l = 10cm, b = 3cm

Area = 2(l*b) = 2(10*3) = 60cm²

Rectangle 4 (top face) = l = 10cm, b = 6cm

Area = 10*6 = 60cm²

Surface area of the figure = 14 + 40 + 60 + 60 = 174 cm²

Find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer below.

Answers

Answer:

2,044

Step-by-step explanation:

S9=G1 (1r^n)/1-r

G9=G1r^8, r=2

S9=(4)(-511)/-1=2,044

Answer: 2,044

Step-by-step explanation:

I just took the quiz!

For an experiment with 3 groups of 10 participants in each group. Fcrit for alpha 0.05=_________

a. 3.35
b. 2.35
c. 5
d. 12

Answers

Answer:

a. 3.35

Step-by-step explanation:

Given that :

an experiment with 3 groups  consist of 10 participant in each group.

This implies that:

number of group k = 3

number of participants n = 10

N = nk

N =  10 × 3 = 30

The degree of freedom within can be calculate as:

dfw = N - k

dfw = 30 - 3

dfw = 27

The degree of freedom for the critical value

dfc = n- 1

dfc = 3 - 1

dfc = 2

At the level of significance ∝ = 0.05

The F critical value from the standard normal F table

i.e

[tex]F_{critical { (2, 27)}=[/tex] 3.35

Which of the following could be the equation of the line passing through (8, 3) parallel to y = -2.

Answers

Answer:

y = 3 passes through (8, 3) and is therefore parallel to y = -2

Step-by-step explanation:

Any line parallel to y = -2 is a horizontal one, and it has the same slope (zero) as does y = -2.

We could invent the horizontal line y = 3 (which comes from the point (8, 3) and surmise that it is parallel to the given line y = -2.

Thus, y = 3 passes through (8, 3) and is therefore parallel to y = -2.

In the future, please share any answer choices that are give you.  Thank you.

Someone PLEASE help!

Answers

Step-by-step explanation:

[tex]f(f(x)) = f( {x}^{2} + 4)[/tex]

[tex] = {( {x}^{2} + 4) }^{2} + 4[/tex]

[tex] = {x}^{4} + 4 {x}^{2} + 16 + 4[/tex]

[tex] = {x}^{4} + 8 {x}^{2} + 20[/tex]

The distance a bike travels varies directly as the amount of time the bike has been ridden. Angela is riding her bike. If she travels a distance of 60 miles in 2 hours, how far has Angela traveled in 7 hours?

Answers

Answer:

420 miles

Step-by-step explanation:

60 ×7=420

thank

Answer:210 miles

Step-by-step explanation:because there is 7 hours so you need to multiply up to six hours so 60 x 3 = 180 or 6 hours + 1 hour = 30 miles so 180+30= 210

Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 2, −5 is the only other zero, leading coefficient is 3.

Answers

Answer:

Step-by-step explanation:

Hello, just apply the instructions as below.

[tex]3(x-2)^2(x+5)^3[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Solve for 2 in the diagram below.
120°
32°
T=

Answers

Step-by-step explanation:

Hello, there!!!

It's so simple here,

Here,

we have is 1 angle is 120°and other is 3x°.

now,

3x°=120° {because when two st.line intersects eachother then the opposite angle formed are equal}

so, 3x°=120

or, x=120°/3

=40°

Therefore, the value of x is 40°.

Hope it helps....

point estimate A sample of 81 observations is taken from a normal population with a standard deviation of 5. The sample mean is 40. Determine the 95% confidence interval for the population mean

Answers

Answer:

The 95 percent Confidence Interval is for the population is (38.911 , 41.089)

Step-by-step explanation:

To solve the above question, we would be making use of the confidence interval formula:

Confidence Interval = Mean ± z score × σ/√n

In the above question,

Mean = 40

σ = Standard deviation = 5

n = number of samples = 81

Confidence Interval = 95%

The z score for a 95% confidence interval = 1.96

Therefore, the confidence interval =

= 40 ± 1.96 (5/√81)

= 40 ± 1.96(5/9)

= 40 ± 1.0888888889

Confidence Interval

a)40 + 1.0888888889

= 41.0888888889

Approximately = 41.089

b ) 40 - 1.0888888889

= 38.911111111

Approximately = 38.911

Therefore, the 95 percent Confidence Interval is for the population is (38.911 , 41.089)

A certain​ animal's body temperature has a mean of F and a standard deviation of F. Convert the given temperatures to z scores.

Answers

A certain​ animal's body temperature has a mean of 94.72° F and a standard deviation of 0.57°F. Convert the given temperatures to z scores.

a. 93.52 °F  b. 95.22 °F      c. 94.72 °F

Answer:

a. z = - 2.1053

b. z = 0.87719

c. z = 0

Step-by-step explanation:

Given that :

The population mean μ = 94.72

The standard deviation σ = 0.57

the formula for calculating the standard normal z score, which can be represented as:

[tex]z= \dfrac{\overline x - \mu}{\sigma}[/tex]

For  a.

The sample mean [tex]\bar x[/tex] = 93.52

The z score can be computed as follows:

[tex]z= \dfrac{\overline x - \mu}{\sigma}[/tex]

[tex]z= \dfrac{93.52 - 94.72}{0.57}[/tex]

[tex]z= \dfrac{-1.2}{0.57}[/tex]

z = - 2.1053

For  b.

The sample mean [tex]\bar x[/tex]  =  95.22    

[tex]z= \dfrac{\overline x - \mu}{\sigma}[/tex]

[tex]z= \dfrac{95.22 - 94.72}{0.57}[/tex]

[tex]z= \dfrac{0.5}{0.57}[/tex]

z = 0.87719

For  c.

The sample mean [tex]\bar x[/tex]  = 94.72

[tex]z= \dfrac{\overline x - \mu}{\sigma}[/tex]

[tex]z= \dfrac{94.72 - 94.72}{0.57}[/tex]

[tex]z= \dfrac{0}{0.57}[/tex]

z = 0

A positive correlation between two variables X and Y means: If the value of X is above the mean, the
value of Y will be above the mean as well.
A. This is always true.
B. This is sometimes true.
C. This is never true.

Answers

Answer: B. This is sometimes true.

Step-by-step explanation:

A positive correlation between 2 variables means that they generally move in the same direction meaning that as one variable rises, the other rises as well and as the other falls, the other falls as well.

However, the correlation can be strong, weak or anything in-between. This means that just because one variable increases by 12 does not mean the other would as well. It could increase by 1 alone and still have a positive correlation albeit a small one.

Therefore, if the value of one variable is above the mean, it doesn't always follow that the other with a positive correlation will as well as they just might not have that strong a correlation.

Given a right triangle with a hypotenuse of 6 cm and a leg of 4cm, what is the measure of the other leg of the triangle rounded to the tenths?

Answers

Answer:

4.5 cm

Step-by-step explanation:

a^2+b^2=c^2

A represents the leg we already know, which has a length of 4 cm. C represents the hypotenuse with a length of 6 cm:

4^2+b^2=6^2, simplified: 16+b^2=36

subtract 16 from both sides:

b^2=20

now find the square root of both sides and that is the length of the other leg.

sqrt20= 4.4721, which can be rounded to 4.5

Answer:

4.5 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

One leg is unknown and the other is 4 cm. The hypotenuse is 6 cm.

[tex]a=a\\b=4\\c=6[/tex]

Substitute the values into the theorem.

[tex]a^2+4^2=6^2[/tex]

Evaluate the exponents first.

4^2= 4*4= 16

[tex]a^2+16=6^2[/tex]

6^2=6*6=36

[tex]a^2+16=36[/tex]

We want to find a, therefore we must get a by itself.

16 is being added on to a^2. The inverse of addition is subtraction. Subtract 16 from both sides of the equation.

[tex]a^2+16-16=36-16\\\\a^2=36-16\\\\a^2=20[/tex]

a is being squared. The inverse of a square is a square root. Take the square root of both sides.

[tex]\sqrt{a^2}=\sqrt{20} \\\\a=\sqrt{20} \\\\a=4.47213595[/tex]

Round to the nearest tenth. The 7 in the hundredth place tells us to round the 4 in the tenth place to a 5.

[tex]a=4.5[/tex]

Add appropriate units. In this case, centimeters.

a= 4.5 cm

The length of the other leg is about 4.5 centimeters.

The volume of a cone varies jointly with the base (area) and the height. The volume is 12.5 ft3 when the base (area) is 15 ft2 and the height is 212 ft. Find the volume of the cone (after finding the variation constant) when the base (area) is 12 ft2 and the height is 6 ft

Answers

The volume of the cone, when the base area is 12 ft² and the height is 6 ft, is approximately 24 ft³.

To find the volume of the cone when the base area is 12 ft² and the height is 6 ft, we need to first determine the variation constant relating the volume, base area, and height.

Let's denote the volume of the cone as V, the base area as A, and the height as h. According to the problem, the volume varies jointly with the base area and the height.

Therefore, we can write the following equation:

V = k * A * h

Here k is the variation constant we want to find.

Given one set of values: when A = 15 ft² and h = 2 1/2 ft, V = 12.5 ft³.

Substitute these values into the equation and solve for k:

12.5 ft³ = k * 15 ft² * (2.5 ft)

Now, we can solve for k:

k = 12.5 ft³ / (15 ft² * 2.5 ft)

k = 0.3333 ft

Now that we have the value of the variation constant (k), we can find the volume when A = 12 ft² and h = 6 ft:

V = k * A * h

V = 0.3333 ft * 12 ft² * 6 ft

V = 23.9996 ft³

Therefore, the volume of the cone is 24 ft³.

Learn more about the volume of the cone here:

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The correct question is as follows:

The volume of a cone varies jointly with the base (area) and the height. The volume is 12.5 ft³ when the base (area) is 15 ft² and the height is 2 1/2 ft. Find the volume of the cone (after finding the variation constant) when the base (area) is 12 ft² and the height is 6 ft.

#2. Given the following conditional statement; which answer is
represents the biconditional statement: "If Mr. Anderson is a ninja, then
he can run like Naruto."
Mr. Anderson is a ninja iff he can run like Naruto.
Mr. Anderson can run like Naruto iff he is a ninja.
Mr. Anderson is Naruto iff he can run like a ninja.

Answers

Answer:

Mr. Anderson can run like Naruto iff he is a ninja.

Step-by-step explanation:

This is because, in the statement "If Mr. Anderson is a ninja, then  he can run like Naruto.", the sub-statement, "he can run like Naruto.", depends on the sub-statement 'If Mr Anderson is a Ninja'. This means that although Mr. Anderson is a Ninja, he can only run like Naruto if and only if he is a Ninja implying that if Mr Anderson is not a Ninja, he cannot run like Naruto.

So, Mr Anderson can run like Naruto iff he is a Ninja is the correct answer

Answer:

1

Step-by-step explanation:

Simplify cube root of 7 over fifth root of 7. 7 to the power of one fifth 7 to the power of eight fifteenths 7 to the power of five thirds 7 to the power of two fifteenths

Answers

Answer:

[tex]\huge\boxed{7^{\frac{2}{15}}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\sqrt[3]7}{\sqrt[5]7}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{7^\frac{1}{3}}{7^\frac{1}{5}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=7^{\frac{1}{3}-\frac{1}{5}}\qquad\text{find the common denominator (15)}\\\\=7^{\frac{(1)(5)}{(3)(5)}-\frac{(1)(3)}{(5)(3)}}=7^{\frac{5-3}{15}}=7^{\frac{2}{15}}[/tex]

Answer:

D. 7 to the power of two fifteenths

Step-by-step explanation:

Which equation will solve the following word problem? In a given amount of time, Jamie drove four times as far as Rhonda. Altogether they drove 125 miles. Find the number of miles driven by each. 4T + T = 125 4T = 125/T T = 125/4T 4T - T = 12

Answers

Answer:

1) 4T+T=125

2) Rhonda drove 25 miles

and Jamie drove 100 miles

Step-by-step explanation:

1) Rhonda drove = T

Jamie drove = 4T

4T+T=125

2) 5T=125

T=125/5

T=25

So Rhonda drove T = 25

And Jamie drove 4T = 100

Find the missing side or angle.
Round to the nearest tenth.

Answers

Answer:

[tex] b = 2.7 [/tex]

Step-by-step explanation:

Given:

< C = 53°

< B = 80°

a = 2

Required:

Find b

Solution:

The question given suggests we are given measures for a ∆.

To find side b, which corresponds to angle B, first, we'd find angle A, which corresponds to side a, then apply the Law of sines to find side b.

=> A = 180 - (53 + 80) = 47°

Law of Sines: [tex] \frac{a}{sin(A} = \frac{b}{sin(B} [/tex]

Plug in the values into the formula

[tex] \frac{2}{sin(47} = \frac{b}{sin(80} [/tex]

Cross multiply

[tex] 2*sin(80) = b*sin(47) [/tex]

Divide both sides by sin(47) to make b the subject of formula

[tex] \frac{2*sin(80)}{sin(47} = b [/tex]

[tex] 2.69 = b [/tex]

[tex] b = 2.7 [/tex] (nearest tenth)

will rate you brainliest need help

Answers

Answer:

x = 0.09

Step-by-step explanation:

[tex] {3}^{x + 2} = {2}^{3} [/tex]

Taking Logarith both sides, we get :

Using the properties of Logarithms:

[tex](x + 2) log(3) = 3 log(2) [/tex]

[tex](x + 2) = 1.91[/tex]

(taking log2= 0.3 and log3= 0.47)

x = 0.09

What's the simplified expression of -2a-3 bº?

Answers

Answer:

-2a - 3

Step-by-step explanation:

bº equals 1 due to the zero exponent.

Thus, -2a-3 bº simplifies to -2a - 3.

Answer:

−2/a^3  

Step-by-step explanation:

BRAINLIEST
Given that 104 = 10,000, write this in logarithm form.

Answers

Answer:

[tex]log_{10}[/tex] 10000 = 4

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Here b = 10, n = 4 and x = 10000, thus

[tex]log_{10}[/tex] 10000 = 4 ← in logarithmic form

that is [tex]10^{4}[/tex] = 10000 ← in exponential form

You really want to buy a used car for $11,000, but can only afford $200 a month. What interest rate would you need to find to be able to afford the car, assuming the loan is for 60 months? is the answer 0.03% which formula would you use? I am doing too many to get the correct answer.

Answers

Answer:

  3.48%

Step-by-step explanation:

Interest rate is the one variable in the amortization formula that cannot be solved for directly. An iterative or graphical approach is needed. There is no formula. Financial calculators, financial apps, and spreadsheets are all able to do this calculation.

__

In the attached, we have used a graphing calculator to find the value of interest rate (in %) that makes the loan payment be $200 for a loan of $11,000. It shows us the rate is 3.48%. (A financial calculator confirms this value.) The x-intercept in the graph is the interest rate that makes the difference between the payment and $200 be zero. In our formula for the payment, we have used t for years. 60 monthly payments is 5 years.

What is the probability of the spinner landing on an odd number? A spinner is split into 4 equal parts labeled 1, 2, 3, and 4. One-fourth One-third One-half Three-fourths

Answers

Answer:

One half, or 1/2.

There are an equal amount of odd numbers as there are even numbers on the spinner.

Answer:

C. 1/2

One-half

About how many feet are in 3.6 kilometers? 1 m = 39.37 in

Answers

Answer:

11811 feet

Step-by-step explanation:

Hope it helps!

There are about 11,812 feet in 3.6 kilometers.

To convert kilometers to feet, we need to use the conversion factor:

1 kilometer = 3,280.84 feet.

Now, to find how many feet are in 3.6 kilometers,

we can multiply 3.6 by the conversion factor:

So, 3.6 kilometers x 3,280.84 feet/kilometer

= 11,811.504 feet.

Thus, Rounded to a whole number, there are about 11,812 feet in 3.6 kilometers.

Learn more about Unit Conversion here:

https://brainly.com/question/14573907

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Find the length of FV¯¯¯¯¯¯¯¯ A. 72.47 B. 77.71 C. 49.42 D. 56.84

Answers

Answer:

The answer is option A

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios here.

To find FV we use cosine

cos∅ = adjacent / hypotenuse

From the question

FV is the hypotenuse

TV is the adjacent

So we have

cos 43 = TV/FV

FV = TV/ cos 43

TV =53

FV = 53/ cos 43

FV = 72.4683

We have the final answer as

FV = 72.47

Hope this helps you

Answer:

FV=72.47

Step-by-step explanation:

cos43=adj/hyp.=VT/FV

cos43=53/FV

FV=53/cos43

FV=72.46835= 72.47 rounded to the nearest hundredth

In a factory there are 100 units of a certain product, 5 of which are defective. We pick three units from the 100 units at random. What is the probability that none of them are defective

Answers

Answer:

Probability of picking all three non-defective units

= 7372/8085  (or 0.911812 to six decimals)

Step-by-step explanation:

Let

D = event that the picked unit is defective

N = event that the picked unit is not defective

Pick are without replacement.

We need to calculate P(NNN) using the multiplication rule,

P(NNN)

= 97/100 * 96/99 * 95/98

=7372/8085

= 0.97*0.969697*0.9693878

= 0.911812

The probability that none of the picked products are defective is;

P(None picked is defective) = 0.856

We are told that 5 are defective out of 100.

This means the number of good products that are not defective are 95.

Probability of the first picked product not being defective is written as; P(First picked not defective) = 95/100

Since the good ones have been picked, there will be 99 left of which the good ones are now 94. Thus, probability of second one not being defective = 94/99

Since two good ones have been picked, there will be 98 left and 93 good ones left. Thus, probability of third one not being defective = 93/98

Finally, Probability of none of the three being defective is;

95/100 × 94/99 × 93/98 = 0.856

Read more at; https://brainly.com/question/14661097

What is the value of this expression when g = -3.5?
8 − |2g − 5|

Answers

Answer:

-4

Step-by-step explanation:

Replace g by -3.5

● 8- | 2g - 5 |

● 8 - | 2*(-3.5)-5 |

● 8 - |-7-5|

● 8 - | -12|

The absolute value turns the number inside the | | into a positive value

-12 is negative so |-12| = 12

●8 -12

● -4

Help ASAP Marly has to get some cavities filled at the dentist. The dentist charges a fee of $35 plus $43 per cavity. If Marly ends up having a bill of $164 and c represents the number of cavities, which of the following equations could be used to find how many cavities Marly had filled?
35 = 164 + 43c
164 = 35 - 43c
164 = 35c + 43
35 + 43c = 164

Answers

Answer:

the answer is d i believe.

Answer:

The answer is D I took the test the other person is right!

Step-by-step explanation:


* 2. Use digits and other symbols to write "One hundred one thousand is
greater than one thousand, one hundred."

Answers

Answer:

101,000>1,100

Step-by-step explanation:

101,000>1,100

Answer:

101,000>1,100

Step-by-step explanation:

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