(a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho 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) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) and (e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? O Yes O No 3 |x X 4 0#0 a X S Â 2 0=0 OSO ΠΣΠ P O>O O

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 52RE
icon
Related questions
Question

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 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below.

Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding μd (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.)

Day
Store 1
Store 2
Difference
(Store 1 - Store 2)
Send data to calculator
1
2
715 774
-55
3
4
5
6
778 229 488
7
660 737 954 252 614 255 468 269 958 807
8
9
267 572 50 792 680
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Ho :
H₁ :0
10
-37 176 23 126 -12 - 104 219 166 127
Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by
performing a hypothesis test regarding μ (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.
(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.)
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.)
(d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.)
and
(e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ?
O Yes O No
Н
Ix
19
0=0
0*0
x
D
S
00
Р
O<O
010
OSO ΠΣΠ
O<O
Transcribed Image Text:Day Store 1 Store 2 Difference (Store 1 - Store 2) Send data to calculator 1 2 715 774 -55 3 4 5 6 778 229 488 7 660 737 954 252 614 255 468 269 958 807 8 9 267 572 50 792 680 (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho : H₁ :0 10 -37 176 23 126 -12 - 104 219 166 127 Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding μ (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. (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.) 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.) (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) and (e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? O Yes O No Н Ix 19 0=0 0*0 x D S 00 Р O<O 010 OSO ΠΣΠ O<O
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage