The owner of a food store was concerned about her sales of a yogurt. To help boost sales, she decided to place the product on a different shelf. She kept track of sales (number of containers sold per week) for six months after she made the change. The values are in a stem-and-leaf display, along with the sales numbers for the six months prior to making the change. Do these results suggest that sales are better after the change? Test an appropriate hypothesis and state your conclusion. Be sure to check assumptions and conditions. Assume α=0.05. Click the icon to view the stem-and-leaf displays. Are the assumptions satisfied? OA. Yes, the assumptions are satisfied because the data values are independent and the data are appropriately paired. OB. Yes, the assumptions are satisfied because the data are approximately normal. OC. No, the assumptions are not satisfied because the data are approximately normal. D. No, the assumptions are not satisfied because the data are not a random sample, but they may be representative and sufficient to answer the owner's question. E. Yes, the assumptions are satisfied because the experiment was randomized, so it can be assumed that the data values are independent and the two groups are independent. What are the hypotheses for this test? OA. Ho: One distribution is shifted in location higher or lower than the other HA: The two samples are from the same distribution B. Ho: The two samples are from the same distribution HA: The after distribution is higher than the before distribution O C. Ho: The after distribution is lower than the before distribution HA: The two samples are from the same distribution O D. Ho: The two samples are from the same distribution HA: The two samples are not from the same distribution G Find the test statistic. (If there is no smaller group, use the after group.) T= (Type an integer or a decimal.) Stem-and-leaf displays After Change 3 4 3 6 4 133 4 55567 5 00134 5 7778 6 012 6 9 Before Change 2 55 3 000 3 588 4 1112344 4 689 5 02 5 79 6 0 Full data set O - X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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The owner of a food store was concerned about her sales of a yogurt. To help boost sales, she decided to place the product on a different shelf. She kept track of sales (number of containers sold per week) for six months after she made the change. The values are in
a stem-and-leaf display, along with the sales numbers for the six months prior to making the change. Do these results suggest that sales are better after the change? Test an appropriate hypothesis and state your conclusion. Be sure to check assumptions and conditions. Assume
α = 0.05.
Click the icon to view the stem-and-leaf displays.
Are the assumptions satisfied?
O A. Yes, the assumptions are satisfied because the data values are independent and the data are appropriately paired.
B.
Yes, the assumptions are satisfied because the data are approximately normal.
O C.
No, the assumptions are not satisfied because the data are approximately normal.
D. No, the assumptions are not satisfied because the data are not a random sample, but they may be representative and sufficient to answer the owner's question.
E. Yes, the assumptions are satisfied because the experiment was randomized, so it can be assumed that the data values are independent and the two groups are independent.
What are the hypotheses for this test?
O A. Ho: One distribution is shifted in location higher or lower than the other
HA: The two samples are from the same distribution
B. Ho: The two samples are from the same distribution
HA: The after distribution is higher than the before distribution
O C. Ho: The after distribution is lower than the before distribution
HA: The two samples are from the same distribution
O D. Ho: The two samples are from the same distribution
HA: The two samples are not from the same distribution
C
Find the test statistic. (If there is no smaller group, use the after group.)
T= (Type an integer or a decimal.)
Stem-and-leaf displays
After Change
3 4
3 6
4 133
4 55567
5 00134
5 7778
6 012
6 9
Before Change
2 55
3 000
3 588
4 1112344
4 689
5 02
5 79
6 0
Full data set
D
-
X
Transcribed Image Text:The owner of a food store was concerned about her sales of a yogurt. To help boost sales, she decided to place the product on a different shelf. She kept track of sales (number of containers sold per week) for six months after she made the change. The values are in a stem-and-leaf display, along with the sales numbers for the six months prior to making the change. Do these results suggest that sales are better after the change? Test an appropriate hypothesis and state your conclusion. Be sure to check assumptions and conditions. Assume α = 0.05. Click the icon to view the stem-and-leaf displays. Are the assumptions satisfied? O A. Yes, the assumptions are satisfied because the data values are independent and the data are appropriately paired. B. Yes, the assumptions are satisfied because the data are approximately normal. O C. No, the assumptions are not satisfied because the data are approximately normal. D. No, the assumptions are not satisfied because the data are not a random sample, but they may be representative and sufficient to answer the owner's question. E. Yes, the assumptions are satisfied because the experiment was randomized, so it can be assumed that the data values are independent and the two groups are independent. What are the hypotheses for this test? O A. Ho: One distribution is shifted in location higher or lower than the other HA: The two samples are from the same distribution B. Ho: The two samples are from the same distribution HA: The after distribution is higher than the before distribution O C. Ho: The after distribution is lower than the before distribution HA: The two samples are from the same distribution O D. Ho: The two samples are from the same distribution HA: The two samples are not from the same distribution C Find the test statistic. (If there is no smaller group, use the after group.) T= (Type an integer or a decimal.) Stem-and-leaf displays After Change 3 4 3 6 4 133 4 55567 5 00134 5 7778 6 012 6 9 Before Change 2 55 3 000 3 588 4 1112344 4 689 5 02 5 79 6 0 Full data set D - X
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