Question

. You are contemplating switching manufacturers of Pixie Stix for your candy store if you can find a brand that yields a greater sugar high than your current brand, whose average sugar high rating is 8. You collect a random sample of 16 Pixie Stix from the new brand you’re considering that yields an average sugar high rating of 9 with a sample standard deviation of 1.5.

a) State the null and alternative hypotheses.

b) Is this a right-tailed, left-tailed, or two-tailed test?

c) Calculate the test-statistic.

d) Find the P-value.

e) Make a decision about the null hypothesis at the α = 0.05 significance level. Summarize the results in terms of the problem and alternative.

f) Based on your decision in Part (e), what type of error (I or II) have you possibly made? What is its interpretation within the context of this problem?

Answer 1