Before the furniture store began its ad campaign, it averaged 213 customers per day. The manager is investigating if the average has changed since the ad came out. The data for the 12 randomly selected days since the ad campaign began is shown below: 197, 211, 228, 226, 188, 216, 183, 204, 219, 203, 206, 196 Assuming that the distribution is normal, what can be concluded at the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: ?v Select an answer H1: ?v Select an answer♥ c. The test statistic ?v |(please show your answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Before the furniture store began its ad campaign, it averaged 213 customers per day. The manager is
investigating if the average has changed since the ad came out. The data for the 12 randomly selected days
since the ad campaign began is shown below:
197, 211, 228, 226, 188, 216, 183, 204, 219, 203, 206, 196
Assuming that the distribution is normal, what can be concluded at the a = 0.10 level of significance?
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Ho:
?vSelect an answer ♥
H1:
?v Select an answerv
c. The test statistic ?v =
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? va
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest that the population mean number of customers since the ad campaign began
is not significantly different from 213 at a = 0.10, so there is insufficient evidence to conclude
that the population mean number of customers since the ad campaign began is different from
213.
%D
O The data suggest the population mean is not significantly different from 213 at a =
there is sufficient evidence to conclude that the population mean number of customers since
the ad campaign began is equal to 213.
0.10, so
O The data suggest the populaton mean is significantly different from 213 at a = 0.10, so there
is sufficient evidence to conclude that the population mean number of customers since the ad
campaign began is different from 213.
Transcribed Image Text:Before the furniture store began its ad campaign, it averaged 213 customers per day. The manager is investigating if the average has changed since the ad came out. The data for the 12 randomly selected days since the ad campaign began is shown below: 197, 211, 228, 226, 188, 216, 183, 204, 219, 203, 206, 196 Assuming that the distribution is normal, what can be concluded at the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: ?vSelect an answer ♥ H1: ?v Select an answerv c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean number of customers since the ad campaign began is not significantly different from 213 at a = 0.10, so there is insufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 213. %D O The data suggest the population mean is not significantly different from 213 at a = there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is equal to 213. 0.10, so O The data suggest the populaton mean is significantly different from 213 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 213.
h. Interpret the p-value in the context of the study.
O If the population mean number of customers since the ad campaign began is 213 and if you
collect data for another 12 days since the ad campaign began, then there would be a
13.6962465% chance that the population mean would either be less than 206.4 or greater than
219.6.
If the population mean number of customers since the ad campaign began is 213 and if you
collect data for another 12 days since the ad campaign began, then there would be a
13.6962465% chance that the sample mean for these 12 days would either be less than 206.4 or
greater than 219.6.
There is a 13.6962465% chance that the population mean number of customers since the ad
campaign began is not equal to 213.
O There is a 13.6962465% chance of a Type I error.
i. Interpret the level of significance in the context of the study.
There is a 10% chance that there will be no customers since everyone shops online nowadays.
O If the population mean number of customers since the ad campaign began is 213 and if you
collect data for another 12 days since the ad campaign began, then there would be a 10%
chance that we would end up falsely concuding that the population mean number of customers
since the ad campaign began is different from 213.
O If the population mean number of customers since the ad campaign began is different from 213
and if you collect data for another 12 days since the ad campaign began, then there would be a
10% chance that we would end up falsely concuding that the population mean number of
customers since the ad campaign is equal to 213.
There is a 10% chance that the population mean number of customers since the ad campaign
began is different from 213.
Transcribed Image Text:h. Interpret the p-value in the context of the study. O If the population mean number of customers since the ad campaign began is 213 and if you collect data for another 12 days since the ad campaign began, then there would be a 13.6962465% chance that the population mean would either be less than 206.4 or greater than 219.6. If the population mean number of customers since the ad campaign began is 213 and if you collect data for another 12 days since the ad campaign began, then there would be a 13.6962465% chance that the sample mean for these 12 days would either be less than 206.4 or greater than 219.6. There is a 13.6962465% chance that the population mean number of customers since the ad campaign began is not equal to 213. O There is a 13.6962465% chance of a Type I error. i. Interpret the level of significance in the context of the study. There is a 10% chance that there will be no customers since everyone shops online nowadays. O If the population mean number of customers since the ad campaign began is 213 and if you collect data for another 12 days since the ad campaign began, then there would be a 10% chance that we would end up falsely concuding that the population mean number of customers since the ad campaign began is different from 213. O If the population mean number of customers since the ad campaign began is different from 213 and if you collect data for another 12 days since the ad campaign began, then there would be a 10% chance that we would end up falsely concuding that the population mean number of customers since the ad campaign is equal to 213. There is a 10% chance that the population mean number of customers since the ad campaign began is different from 213.
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