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A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 12 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 11.5. (a) Is it appropriate to use a Student's t distribution? Explain. O P Yes, because the x distribution is mound-shaped and symmetric and o is unknown. O No, the x distribution is skewed left. O No, the x distribution is skewed right. O No, the x distribution is not symmetric. O No, o is known. How many degrees of freedom do we use?

A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 12 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 11.5. (a) Is it appropriate to use a Student's t distribution? Explain. O P Yes, because the x distribution is mound-shaped and symmetric and o is unknown. O No, the x distribution is skewed left. O No, the x distribution is skewed right. O No, the x distribution is not symmetric. O No, o is known. How many degrees of freedom do we use?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 12 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 11.5. (a) Is it appropriate to use a Student's t distribution? Explain. O P Yes, because the x distribution is mound-shaped and symmetric and o is unknown. O No, the x distribution is skewed left. O No, the x distribution is skewed right. O No, the x distribution is not symmetric. O No, o is known. How many degrees of freedom do we use?
Transcribed Image Text:A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 12 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 11.5. (a) Is it appropriate to use a Student's t distribution? Explain. O P Yes, because the x distribution is mound-shaped and symmetric and o is unknown. O No, the x distribution is skewed left. O No, the x distribution is skewed right. O No, the x distribution is not symmetric. O No, o is known. How many degrees of freedom do we use?
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