The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 10 days, she records the sales (in dollars) for each store on these days, as shown in the table below. 2 3 9 10 Day 4 8 983 637 983 250 910 908 485 865 890 225 Store 1 739 485 620 208 898 853 365 754 793 294 Store 2 Difference 244 (Store 1 - Store 2) 42 12 55 120 11 97 152 363 - 69 Send data to calc... v Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding H (which is µ with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ħ, and the alternative hypothesis # . Ho : 0 H1 : 0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) D=0 Oso (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) O and 0 (e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ? Yes No
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 10 days, she records the sales (in dollars) for each store on these days, as shown in the table below. 2 3 9 10 Day 4 8 983 637 983 250 910 908 485 865 890 225 Store 1 739 485 620 208 898 853 365 754 793 294 Store 2 Difference 244 (Store 1 - Store 2) 42 12 55 120 11 97 152 363 - 69 Send data to calc... v Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding H (which is µ with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ħ, and the alternative hypothesis # . Ho : 0 H1 : 0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) D=0 Oso (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) O and 0 (e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ? Yes No
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Transcribed Image Text:The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2.
Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such
effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of 10 days,
she records the sales (in dollars) for each store on these days, as shown in the table below.
Day
1
4
5
7
8
10
Store 1
983
637
983
250
910
908
485
865
890
225
Store 2
739
485
620
208
898
853
365
754
793
294
Difference
244
152
363
42
12
55
120
111
97
69
(Store 1 - Store 2)
Send data to calc... v
Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores
differ? Answer this question by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the
population mean daily sales difference between the two stores. Assume that this population of differences (Store 1 minus
Store 2) is normally distributed.
Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal
places and round your answers as specified. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H and the alternative hypothesis H,.
p
Но : 0
H : 0
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O#0
O<[
O>O
?
Find the two critical values at the 0.10 level of significance. (Round to three or more
(d)
decimal places.)
I and O
(e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ?
Yes No
olo
Ix
2.
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