Before the furniture store began its ad campaign, it averaged 241 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:

256, 250, 270, 244, 268, 237, 236, 226, 244, 247, 253, 246

Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance?

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion

The null and alternative hypotheses would be:

H0:H0:  ? μ p  Select an answer < = > ≠

H1:H1:  ? μ p  Select an answer > < ≠ =

The test statistic ? z t  =  (please show your answer to 3 decimal places.)

The p-value =  (Please show your answer to 4 decimal places.)

The p-value is ? ≤ >  αα

Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.

Thus, the final conclusion is that ...

The data suggest the population mean is not significantly different from 241 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is equal to 241.

The data suggest the populaton mean is significantly different from 241 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 241.

The data suggest that the population mean number of customers since the ad campaign began is not significantly different from 241 at αα = 0.05, so there is insufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 241.

Interpret the p-value in the context of the study.

There is a 7.86759776% chance of a Type I error.

There is a 7.86759776% chance that the population mean number of customers since the ad campaign began is not equal to 241.

If the population mean number of customers since the ad campaign began is 241 and if you collect data for another 12 days since the ad campaign began, then there would be a 7.86759776% chance that the population mean would either be less than 233.9 or greater than 248.1.

If the population mean number of customers since the ad campaign began is 241 and if you collect data for another 12 days since the ad campaign began, then there would be a 7.86759776% chance that the sample mean for these 12 days would either be less than 233.9 or greater than 248.1.

Interpret the level of significance in the context of the study.

There is a 5% chance that there will be no customers since everyone shops online nowadays.

There is a 5% chance that the population mean number of customers since the ad campaign began is different from 241.

If the population mean number of customers since the ad campaign began is different from 241 and if you collect data for another 12 days since the ad campaign began, then there would be a 5% chance that we would end up falsely concuding that the population mean number of customers since the ad campaign is equal to 241.

If the population mean number of customers since the ad campaign began is 241 and if you collect data for another 12 days since the ad campaign began, then there would be a 5% chance that we would end up falsely concuding that the population mean number of customers since the ad campaign began is different from 241.

Question

Before the furniture store began its ad campaign, it averaged 241 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:

256, 250, 270, 244, 268, 237, 236, 226, 244, 247, 253, 246

Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance?

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
The null and alternative hypotheses would be:

H0:H0: ? μ p Select an answer < = > ≠

H1:H1: ? μ p Select an answer > < ≠ =

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? ≤ > αα
Based on this, we should Select an answer fail to reject accept reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population mean is not significantly different from 241 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is equal to 241.
- The data suggest the populaton mean is significantly different from 241 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 241.
- The data suggest that the population mean number of customers since the ad campaign began is not significantly different from 241 at αα = 0.05, so there is insufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 241.
Interpret the p-value in the context of the study.
- There is a 7.86759776% chance of a Type I error.
- There is a 7.86759776% chance that the population mean number of customers since the ad campaign began is not equal to 241.
- If the population mean number of customers since the ad campaign began is 241 and if you collect data for another 12 days since the ad campaign began, then there would be a 7.86759776% chance that the population mean would either be less than 233.9 or greater than 248.1.
- If the population mean number of customers since the ad campaign began is 241 and if you collect data for another 12 days since the ad campaign began, then there would be a 7.86759776% chance that the sample mean for these 12 days would either be less than 233.9 or greater than 248.1.
Interpret the level of significance in the context of the study.
- There is a 5% chance that there will be no customers since everyone shops online nowadays.
- There is a 5% chance that the population mean number of customers since the ad campaign began is different from 241.
- If the population mean number of customers since the ad campaign began is different from 241 and if you collect data for another 12 days since the ad campaign began, then there would be a 5% chance that we would end up falsely concuding that the population mean number of customers since the ad campaign is equal to 241.
- If the population mean number of customers since the ad campaign began is 241 and if you collect data for another 12 days since the ad campaign began, then there would be a 5% chance that we would end up falsely concuding that the population mean number of customers since the ad campaign began is different from 241.

Accepted Answer

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