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Question 5 of 18 Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with a standard deviation of 3 in. Jeremy takes a simple random sample of 19 such men and notices that none of them are unusually tall or unusually short. He then calculates the average of the sample to be 67 in, and is planning on using this to find a 90% z-confidence interval for the true mean height. Can Jeremy use this information to find the z-confidence interval? Complete the following sentences. The population distribution is the sample and the population standard deviation is Therefore, to find a 90% z-confidence interval.

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample mean,Ā xĀÆ\bar{x}Ė‰, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9. (a) Construct the 90% confidence interval for the population mean if the sample size, n, is 15. (b) Construct the 90% confidence interval for the population mean if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct the 95% confidence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the confidence interval? (d) Construct the 90% confidence interval for the population standard deviation if the sample size, n, is 15.

Ā 

Suppose a random sample of size 10 was taken from a normally distributed population, and the sample standard deviation was calculated to beĀ sĀ = 5.2.

Ā 

a)Ā  Calculate the margin of error for a 95% confidence interval for the population mean.

Ā 

Give your response to at leastĀ 3 decimal places.

Ā Ā Ā 

Ā 

Ā 

b)Ā  Calculate the margin of error for a 90% confidence interval for the population mean.

Ā 

Give your response to at leastĀ 3 decimal places.

Ā 

Which of the following is not appropriate to use the z-confidence interval forĀ Ī¼.

a)Ā The sample size is greater than 30.

b)Ā The sample is based on a simple random sample (SRS).

c)Ā The population standard deviation,Ā Ļƒ, is unknown.

d)Ā The variable has a Normal distribution.

e)Ā All of the above are appropriate.

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