Question

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 0.1 level of significance. Complete parts (a) through (d) below. A 5.94 B 7.48 C 3.75 D 1.72 E 1.77 F 2.81 G H 4.71 3.15 I 2.93 J 3.73 Store Store 5.93 7.95 3.93 1.77 1.98 2.42 4.73 3.74 2.98 3.63 (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 approximate t. OB. A hypothesis test regarding the difference between two population proportions from independent samples O c. A hypothesis test regarding the difference of two means using a matched-pairs design. OD. A hypothesis test regarding two population standard deviations. (b) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Ha = 0; Hy: Ho> O B. Ho Ho = 0; H: H+0 OC. Ho Hd = 0; Hy: Ho<0 OD. Ho: H0; H4; Hd=0 (c) Use technology to calculate the P-value.

Answer 1

a) option C

b)option B

c)

c)

7.48 No 3.75 1.72 o ovo AWN-6 1.77 2.42 2.81 4.71 3.15 2.93 3.73 diff:(d)=x1-x2 0.01 -0.47 -0.18 -0.05 -0.21 0.39 -0.02 -0.59 -0.05 0.1 zd=-107 -0.107 0.000100 0.220900 0.032400 0.002500 0.044100 0.152100 0.000400 0.348100 0.002500 0.010000 Id2=0.8131 3.63 total meandbar= 9.000 degree of freedom -n-1 = Std deviaiton So=(7d-(zd}/n)/(n-1) = 0.279 std error=Se=Splin= 0.088 test statistic p value = (d-ud)/Se = -1.214 0.2555

from above p value =0.2555 ~ 0.255

d) fail to reject Ho , cannot conclude that price differs