You want to estimate today\'s mean temperature, so you make a series of measurem

Question

You want to estimate today's mean temperature, so you make a series of measurements (taken as a sample) throughout the day The mean of these measurements is 61 degrees and their Fahrenheit, and their standard deviation is 3 degrees Fahrenheit For each following sampling scenarios, determine which test statistics appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to a variable having and t distribution)

Explanation / Answer

Q-1:

Z-test

Q-2

t-test

Q-3

t-test

Q-4

z-test

Q-5

unclear

Q-1:

Z-test as normality is given and know standard deviation of population

Q-2

t-test as normality is given and unknown standard deviation of population

Q-3

t-test as n>30 so normality assume by central limit theorem and we do not know population variance

Q-4

z-test as sample size n>30 and know standard deviation of population

Q-5

Unclear as normality may not be assumed

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