Question

Meth Barie's ice cream shop wants to decide whether to introduce a new ice cream flavor. They randomly selected 15 customers at their downtown Denton location to rate this new flavor. The rating is on a scale of 1 to 5, with 1 being ‘not interested and 5 being strongly interested Meth Barie's will approve the new flavor if the true mean rating is over 4.0. What is the rejection region for testing at the 0.05 level of significance? O t > 1.761 O t > 1.645 O t > 1.345 O t > 1.753 Ot>0.05

Answer 1

From the given question, We get that, the Sample Size, n = 15. Here the claim is that Meth Barie's will approve the new flavor if the true mean Let rating is over 4.0. te be the true Then the claim can be written as, Meth Barie's will approve the new flavor if > 4. mean. Thus the null hypothesis Ho! H24 and Alleynative hypothesis Ha: H>4 (Ho: 454, since the bull hypothesis can have only, '2','3' or '=' sign) Here D=15, the sample Size is Small then we will take t-test. Co is unknown) Then the coitical value is to with (n-1) degrees of freedom. The given test is a right tailed test Since the rejection region is on the right (Ha:4> 4). Critical value : toe with (-1) df given that level of significance, a = 0.05

to.05 to.o5 Thus the critical value with (15-1) df with 14df using t table we get that to.or with 14 df = 1.761 → critical value 1.761 Thus the Rejection Yegion is t > critical value, for a right tailed test. → Rejection region is t > 1.761 Rejection region for testing at the level of significance is t>1.761 0.05 Rejechon region oC-0.05 1.T61 So, the answer is t> • 761