In: Statistics and Probability
Please show all work:
Assignment: You will be answering problems #1 - #4. For each problem, you will need to complete parts A through F. Please make sure you answer each part completely and you offer justification where necessary. Do all work "by hand" (not using StatCrunch) as good practice for your next exam!
A) Write the claim mathematically and state the null and alternative hypotheses.
B) Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.
C) Find the critical value(s), draw a sketch identifying the rejection region(s).
D) Find the appropriate standardized test statistic.
E) Decide whether to reject or fail to reject the null hypothesis.
F) Interpret the decision in the context of the original claim.
#4) A fitness magazine claims that the mean cost of a yoga session is no more than $14. You work for a consumer advocacy group and are asked to test this claim. you find that a random sample of 21 yoga sessions has a mean cost of $15.59 and a standard deviation of $2.50. At alpha equals 0.025, do you have enough evidence to reject the magazine's claim?