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=0.1 level of significance. Complete parts (a) through (d) below. Store 1 A B C D E F G H I J 5.95 7.41 3.76 1.74 1.78 2.88 4.72 3.13 2.98 3.75 Store 5.97 7.95 3.94 1.78 1.92 2.49 4.71 3.74 2.95 3.69 2 (a) What type of test should be used? Choose the correct answer below. A. A hypothesis test regarding the difference of two means using a matched-pairs design. 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 Welch's approximate t. (b) Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: Hd=0; H₁: Hd *0 OB. Ho: Hd #0; H₁: Hd = 0 OC. Ho: Hd=0; H₁: Hd > 0 OD. Ho: Hd=0; H₁: Hd <0 4 (c) Use technology to calculate the P-value. (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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 α = 0.1 level of significance. Complete parts (a) through (d) below.
A
B
C
D
E F G H I J
5.95 7.41 3.76 1.74 1.78 2.88 4.72 3.13 2.98 3.75
Store
1
Store 5.97 7.95 3.94 1.78 1.92 2.49 4.71 3.74 2.95 3.69
2
(a) What type of test should be used? Choose the correct answer below.
A. A hypothesis test regarding the difference of two means using a matched-pairs design.
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 Welch's approximate t.
(b) Determine the null and alternative hypotheses. Choose the correct answer below.
A. Ho: Hd=0; H₁: Hd #0
OB. Ho: Hd #0; H₁: Hd = 0
OC. Ho: Hd = 0; H₁: Hd>0
OD. Ho: Hd = 0; H₁: Hd <0
(c) Use technology to calculate the P-value.
(Round to three decimal places as needed.)
Transcribed Image Text: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 α = 0.1 level of significance. Complete parts (a) through (d) below. A B C D E F G H I J 5.95 7.41 3.76 1.74 1.78 2.88 4.72 3.13 2.98 3.75 Store 1 Store 5.97 7.95 3.94 1.78 1.92 2.49 4.71 3.74 2.95 3.69 2 (a) What type of test should be used? Choose the correct answer below. A. A hypothesis test regarding the difference of two means using a matched-pairs design. 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 Welch's approximate t. (b) Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: Hd=0; H₁: Hd #0 OB. Ho: Hd #0; H₁: Hd = 0 OC. Ho: Hd = 0; H₁: Hd>0 OD. Ho: Hd = 0; H₁: Hd <0 (c) Use technology to calculate the P-value. (Round to three decimal places as needed.)
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