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Let Xi be the body temperature ( in degrees Fahrenheit) of the ith randomly sele

ID: 2980920 • Letter: L

Question

Let Xi be the body temperature ( in degrees Fahrenheit) of the ith randomly selected individual in a random sample of size n. Assume that the mean of the population temperature is u. (a) If we were to calculate a 95% confidence interval for u using observed data x, explain in your own words what we mean by " 95% confidence." (b) If were were to perform a hypothesis test of H0: u=98.6 versus Ha: u>98., define in your own words what the "p-value" means for this test. Be specific - for instance, if you use the phrase " or more extreme" or test statistic," explain what these phrases mean.

Explanation / Answer

a)

95% Confidence means that the p[robability of true u lieing in that range is 0.95


b)

p-value stands for probability of type 1 error = rejecting h0 even when it is true.

this means that given u = 0.98.6, the probability of sample mean being more extreme or equal to what we got from sample.