Geoff is the proud owner of a restaurant. He is interested in determining whether his Wagyu beef or Hiramasa

kingfish sashimi should be marketed as the Geoff Special. Geoff has selected a random sample of 20 people to taste his Wagyu beef and give it a score out of 100. He also selected a different random sample of 20 people to taste his Hiramasa kingfish sashimi and give it a score out of 100.

The sample mean score given to the Wagyu beef dish was calculated as 68.57. The sample standard deviation of the scores for the Wagyu beef dish was calculated as 3. The sample mean score given to the Hiramasa kingfish sashimi dish was calculated as 69.44. The sample standard deviation of the scores for the Hiramasa kingfish sashimi dish was calculated as 5. The population standard deviations of the scores for each dish are unknown, but Geoff believes that it is reasonable to assume that they are equal.

You may find this Student’s t distribution table useful throughout the following questions.

a)Geoff would like to test whether the mean scores of each of these dishes are equal. He has constructed a hypothesis test with H₀: μ_W = μ_H and H_A: μ_W ≠ μ_H. Calculate the test statistic (t) for this hypothesis test. Give your answer to 2 decimal places.

t = 

b)Using the test statistic for Geoff’s hypothesis test and a 90% confidence level, Geoff should   accept/reject/not rejectacceptrejectnot rejectthe null hypothesis.

Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code "Newclient"