You may need to use the appropriate technology to answer this question. Guitars R.US has three stores located in three different areas. Random samples of the sales of the three stores (in $1,000) are shown below. Please note the sample sizes are not equal. Store 1 87 77 78 91 82 Store 2 87 88 O Ho: store 1 H: Hstore 1 83 86 (a) Compute the overall mean. 84.25 HStore 2 Store 3 Store 2 79 (b) State the null and alternative hypotheses to test for difference in the population mean sales among the three stores. O Ho: Store 1 #Store 2 * Store 3 H: At least two of the store means are different. 84 89 Store 3 store 3 Ho: Store 1 Store 2 = Store 3 H: At least two of the store means are different. 10 Hei Hor=#store 2 #store 3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Guitars R.US has three stores located in three different areas. Random samples of the sales of the three stores (in $1,000) are shown below. Please note the sample sizes are not equal.
Store 1
87
79°F
Sunny
77
78
91
82
Store 2 Store 3
87
Ho: Store 1
H₂:
88
(a) Compute the overall mean.
84.25
83
O Ho: store 1 =
Ha: "Store 1
86
#
O Ho: Store 1 Store 2
Ha: "Store 1
= "Store
(b) State the null and alternative hypotheses to test for difference in the population mean sales among the three stores.
O Ho: Store 1 # #Store 2 *
H₂: At least two of the
#
Store 2
O Ho: At least two
Ha: "Store 1 =
2 =
79
=
84
Store 3
store means are different.
Store 2 =
Store 2 *
89
Store 2
Store 2
Store 3
At least two of the store means are different.
Store 3
Store 3
Source of Variation
Store 3
Store 3
of the store means are different.
Store 2 = Store 3
(c) Show the complete ANOVA table for this test including the test statistic. (Round your mean square within treatments to four decimal places and your F statistic to two decimal places.)
Sum of Squares Degrees of Freedom
f5
f6
✔
f7
♫+
Mean Square
fg
8
IAA
fg
F
P
hp
DII
f10
DDI
Do
f12
Cinsert
prt sc
C
delete
home
4x D
end
1:27 PM
10/16/2022
pg up
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Guitars R.US has three stores located in three different areas. Random samples of the sales of the three stores (in $1,000) are shown below. Please note the sample sizes are not equal. Store 1 87 79°F Sunny 77 78 91 82 Store 2 Store 3 87 Ho: Store 1 H₂: 88 (a) Compute the overall mean. 84.25 83 O Ho: store 1 = Ha: "Store 1 86 # O Ho: Store 1 Store 2 Ha: "Store 1 = "Store (b) State the null and alternative hypotheses to test for difference in the population mean sales among the three stores. O Ho: Store 1 # #Store 2 * H₂: At least two of the # Store 2 O Ho: At least two Ha: "Store 1 = 2 = 79 = 84 Store 3 store means are different. Store 2 = Store 2 * 89 Store 2 Store 2 Store 3 At least two of the store means are different. Store 3 Store 3 Source of Variation Store 3 Store 3 of the store means are different. Store 2 = Store 3 (c) Show the complete ANOVA table for this test including the test statistic. (Round your mean square within treatments to four decimal places and your F statistic to two decimal places.) Sum of Squares Degrees of Freedom f5 f6 ✔ f7 ♫+ Mean Square fg 8 IAA fg F P hp DII f10 DDI Do f12 Cinsert prt sc C delete home 4x D end 1:27 PM 10/16/2022 pg up
(0)
Store T
Store z
Store S
H: At least two of the store means are different.
a
O Ho: Store 1 =
79°F
Sunny
Store 2 = Store 3
# Store 3
Ha: Store 1 * Store 2
#
оно
: At least two of the store means are different.
Ha: "Store 1 = Store 2 = Store 3
Source of Variation Sum of Squares
Between Treatments
(c) Show the complete ANOVA table for this test including the test statistic. (Round your mean square within treatments to four decimal places and your F statistic to two decimal places.)
Within Treatments
Total
100
Degrees of Freedom
Mean Square
(d) The null hypothesis is to be tested at a 0.05 level of significance. Determine the critical value for this test. (Round your answer to two decimal places.)
*
verr
estion4606900
What do you conclude?
O We should reject Ho and therefore we cannot conclude there is a significant difference among the mean sales of the three stores.
O We should reject Ho and therefore we can conclude there is a significant difference among the mean sales of the three stores.
O We should not reject Ho and therefore we can conclude there is a significant difference among the mean sales of the three stores.
We should not reject Ho and therefore we cannot conclude there is a significant difference among the mean sales of the three stores.
0
(e) Determine the p-value and use it for the test. (Round your answer to three decimal places.)
The p-value =
Since this is greater than ✔ the significance level we should not reject H and conclude that there is not
difference among the mean sales at the three stores.
hp
A"
W
26
sufficient évidence in the data to suggest a significant
@xb
1:28 P
10/16/202
Transcribed Image Text:(0) Store T Store z Store S H: At least two of the store means are different. a O Ho: Store 1 = 79°F Sunny Store 2 = Store 3 # Store 3 Ha: Store 1 * Store 2 # оно : At least two of the store means are different. Ha: "Store 1 = Store 2 = Store 3 Source of Variation Sum of Squares Between Treatments (c) Show the complete ANOVA table for this test including the test statistic. (Round your mean square within treatments to four decimal places and your F statistic to two decimal places.) Within Treatments Total 100 Degrees of Freedom Mean Square (d) The null hypothesis is to be tested at a 0.05 level of significance. Determine the critical value for this test. (Round your answer to two decimal places.) * verr estion4606900 What do you conclude? O We should reject Ho and therefore we cannot conclude there is a significant difference among the mean sales of the three stores. O We should reject Ho and therefore we can conclude there is a significant difference among the mean sales of the three stores. O We should not reject Ho and therefore we can conclude there is a significant difference among the mean sales of the three stores. We should not reject Ho and therefore we cannot conclude there is a significant difference among the mean sales of the three stores. 0 (e) Determine the p-value and use it for the test. (Round your answer to three decimal places.) The p-value = Since this is greater than ✔ the significance level we should not reject H and conclude that there is not difference among the mean sales at the three stores. hp A" W 26 sufficient évidence in the data to suggest a significant @xb 1:28 P 10/16/202
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