The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

​If 6.3% of the thermometers are rejected because they have readings that are too high and another 6.3% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.


–1.46° , 1.46°


–1.39° , 1.39°


–1.53° , 1.53°


–1.45° , 1.45°

Answers

Answer 1

Answer:

-1.53 , 1.53

Step-by-step explanation:

It is basically asking you to find the percentiles. so for the bottom 6.3% you would type into your calculator 2nd, VARS, invNorm, area: .063, mean: 0, and Standard Deviation: 1 which gives you -1.53.

for the upper 6.3% you have to take 1-.063=.937 to get the upper percentile. now type into your calculator 2nd, VARS, invNorm, area: .937, mean: 0, and Standard Deviation: 1 which gives you 1.53.

Answer 2

Using the normal distribution, it is found that the third quartile of Q3 is 0.67, hence option B –1.39°, 1.39° is correct.

What does "normal" describe in statistics?

Normal usually refers to the word "normal" in a normal distribution.

The word normal is used when something occurs that has occurred frequently. The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from the mean, its chances decrease.

In a normal distribution with mean μ and standard deviation  σ, the z-score of a measure X will be;

Z = (X - μ)/  σ

After finding the z-score, we have to find the p-value associated with this z-score, which is the percentile of X.

The mean is 0ºC, μ= 0

The standard deviation is 1ºC, σ = 1.

Therefore when Z has a p-value of 0.75, hence X when Z = 0.67.

Z = (X - μ)/  σ

0.67 = (X - 0)/  1

X = 0.67

Thus, the two readings that are cutoff values separating the rejected thermometers from the others are B –1.39°, and 1.39°.

Learn more about normal distribution here:

https://brainly.com/question/15395456

#SPJ2


Related Questions

The expression (3+i)(1+2i) can be written Jim the form a +bi, where a and b are integers. What are the values of a and b?

Answers

Answer:

a = 1

b = 7

Step-by-step explanation:

We start by opening the brackets

We have;

3 + 6i + i - 2

= 1 + 7i

comparing with a + bi

a = 1 and b = 7

at midnight the temperature in alto is -3.8 the wind chill makes the temperature feel 5.6 colder then the actual temperature what is the wind-chill temperature

Answers

Answer:

-5.6

Step-by-step explanation:

Given parameters:

 Temperature at Alto  = -3.8°C

Unknown:

The wind chill temperature  = ?

Solution:

Due to the windchill, temperature in Alto feels colder at -3.8.

We can infer that usually, the temperature in Alto is not supposed to be up to this value. The windchill reduced the temperature;

 Temperature in Alto = Original temperature + wind chill temperature

Originally, the temperature would be = -3.8 + 5.6 = 1.8

So;

     -3.8 = 1.8 + wind chill temperature

   Wind chill temperature  = -3.8 - 1.8 = -5.6

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-9.4

Step-by-step explanation:

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Answers

Answer:

3

Step-by-step explanation:

Hitzu Co. sold a copier costing $3,500 with a two-year parts warranty to a customer on August 16, 2018, for $7,000 cash. Hitzu uses the perpetual inventory system. On November 22, 2019, the copier requires on-site repairs that are completed the same day. The repairs cost $106 for materials taken from the repair parts inventory. These are the only repairs required in 2019 for this copier. Based on experience, Hitzu expects to incur warranty costs equal to 4% of dollar sales. It records warranty expense with an adjusting entry at the end of each year.

Answers

Answer:

1.$ 280

2. $280

3.$0

4. $174

5. (a) Aug 16 2018

Dr Cash 7,000

Cr Sales 7,000

(b) Aug 16 2018

Dr Cost of goods sold 3,500

Cr Merchandise inventory 3,500

(c) Aug 16 2018

Dr Warranty expense 280

Cr Estimated warranty liability 280

(d) Nov 22 2019

Dr Estimated warranty liability 106

Cr Repair part inventory 106

Step-by-step explanation:

1. Calculation for how much warranty expense does the company report in 2018 for this copier

Warranty Expense= 7,000 x 0.04

Warranty Expense= $280

2. Calculation for How much is the estimated warranty liability for this copier as of December 31, 2018

2018 Estimated Warranty liability= 7,000 x 0.04

2018 Estimated Warranty liability=$280

3. Calculation for How much warranty expense does the company report in 2019 for this copier

The company in the year 2019 report $0 warranty expense for the copier.

4. Calculation for How much is the estimated warranty liability for this copier as of December 31, 2019?

2019 Estimated warranty liability =280-106

2019 Estimated warranty liability =174

5. Preparation of the Journal entries to record (a) the copier sales (b) the Adjustment on Dec 31 2018 to recognize the warranty expense (c) the repairer that occured in November 2019

(a) Aug 16 2018

Dr Cash 7,000

Cr Sales 7,000

(b) Aug 16 2018

Dr Cost of goods sold 3,500

Cr Merchandise inventory 3,500

(c) Aug 16 2018

Dr Warranty expense 280

Cr Estimated warranty liability 280

(d) Nov 22 2019

Dr Estimated warranty liability 106

Cr Repair part inventory 106

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

x=15

Step-by-step explanation:

135+3x=180

-135     -135

___________

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Answer:

I believe the answer is b

Step-by-step explanation:

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Step-by-step explanation:

ΔY/ΔX= 1/-1 =-1

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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zt
x В
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AX
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Answers

Answer:

The bearing of B from A is 28 degrees, approximately

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Step-by-step explanation:

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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