The past records of a supermarket show that its customers spend an average of $110 per visit at this store. Recently the management of the store initiated a promotional campaign according to which each customer receives points based on the total money spent at the store, and these points can be used to buy products at the store. The management expects that as a result of campaign, the customers should be encouraged to spend more money at the store. To check whether this is true, the manager of store took a sample of 14 customers who visited the store. The following data give the money (in dollars) spent by these custome at this supermarket during their visits. 106.13 107.43 124.68 124.88 101.17 72.75 85.45 86.05 100.4 98.84 101.63 95.56 89.40 119.52 Assume that the money spent by all customers at this supermarket has a normal distribution. Using a 2.5% significance level, can conclude that the mean amount of money spent by all customers at this supermarket after the campaign was started is more tha $110? (Hint: First calculate the sample mean and the sample standard deviation for these data. Then make the test of hypothesis about u.) Round the sample standard deviation and sample mean to three decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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The past records of a supermarket show that its customers spend an average of $110 per visit at this store. Recently the
management of the store initiated a promotional campaign according to which each customer receives points based on the total
money spent at the store, and these points can be used to buy products at the store. The management expects that as a result of this
campaign, the customers should be encouraged to spend more money at the store. To check whether this is true, the manager of the
store took a sample of 14 customers who visited the store. The following data give the money (in dollars) spent by these customers
at this supermarket during their visits.
106.13 107.43 124.68 124.88 101.17 72.75 85.45
86.05
100.4 98.84
101.63 95.56 89.40 119.52
Assume that the money spent by all customers at this supermarket has a normal distribution. Using a 2.5% significance level, can you
conclude that the mean amount of money spent by all customers at this supermarket after the campaign was started is more than
$110? (Hint: First calculate the sample mean and the sample standard deviation for these data. Then make the test of hypothesis
about u.)
Round the sample standard deviation and sample mean to three decimal places.
S
We conclude that the mean amount of money spent by all customers at this supermarket after the campaign was started is
$110.
not more than
more than
Media
Transcribed Image Text:The past records of a supermarket show that its customers spend an average of $110 per visit at this store. Recently the management of the store initiated a promotional campaign according to which each customer receives points based on the total money spent at the store, and these points can be used to buy products at the store. The management expects that as a result of this campaign, the customers should be encouraged to spend more money at the store. To check whether this is true, the manager of the store took a sample of 14 customers who visited the store. The following data give the money (in dollars) spent by these customers at this supermarket during their visits. 106.13 107.43 124.68 124.88 101.17 72.75 85.45 86.05 100.4 98.84 101.63 95.56 89.40 119.52 Assume that the money spent by all customers at this supermarket has a normal distribution. Using a 2.5% significance level, can you conclude that the mean amount of money spent by all customers at this supermarket after the campaign was started is more than $110? (Hint: First calculate the sample mean and the sample standard deviation for these data. Then make the test of hypothesis about u.) Round the sample standard deviation and sample mean to three decimal places. S We conclude that the mean amount of money spent by all customers at this supermarket after the campaign was started is $110. not more than more than Media
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