Question

16. A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the a=0.005 level of significance Complete parts (a) through (d) below. A B с D E F G H 5.99 7.41 3.77 1.78 1.72 2.81 4.74 3.12 2.96 3.73 Store 1 Store 2 5.91 7.95 3.93 1.77 1.92 2.48 4.77 3.74 2.97 3.67 (a) What type of test should be used? Choose the correct answer below. O A. A hypothesis test regarding the difference of two means using Welch's approximatet. O B. A hypothesis test regarding two population standard deviations OC. A hypothesis test regarding the difference between two population proportions from independent samples. OD. A hypothesis test regarding the difference of two means using a matched-pairs design (b) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Hod=0: H: H*0 OB. Ho Hd = 0; H. Hd > 0 OC. Ho Hd *0; H: H = 0 OD. Ho Hd = 0; H4 H40 (c) Use technology to calculate the P-value (Round to three decimal places as needed.) (d) Draw a conclusion based on the hypothesis test. Choose the correct answer below. O A. There is not sufficient evidence to reject the null hypothesis because the P-value <a OB. There is not sufficient evidence to reject the null hypothesis because the P-value> OC. There is sufficient evidence to reject the null hypothesis because the P-value> OD. There is sufficient evidence to reject the null hypothesis because the P-value <a

Answer 1

(a) Option D is correct.
(b) Option A is correct.



(d) Option B is correct.

OL- Shore 1, y = Now Store 2.. d= difference - n-y. sample meam or difference 0.108 10, 0. 2877. sd a sample s.d, or difference to a Snď to tnt " Test statistica ta sa 1.187 2x Plta 4 - 1.187) 0, 266 ..pa value =