Before the furniture store began its ad campaign, it averaged193 customers per day. The manager is investigating if the averageis smaller since the ad came out. The data for the 12 randomlyselected days since the ad campaign began is shown below:

200, 181, 185, 205, 198, 201, 173, 165, 180, 198, 199, 200

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

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

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

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

1. The test statistic ? z t  =  (please showyour answer to 3 decimal places.)
2. The p-value =  (Please show your answer to 4 decimalplaces.)
3. The p-value is ? > ≤  αα
4. Based on this, we should Select an answer reject accept fail toreject  the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest the populaton mean issignificantly less than 193 at αα = 0.05, so thereis sufficient evidence to conclude that the population mean numberof customers since the ad campaign began is less than 193.
   • The data suggest the population mean is notsignificantly less than 193 at αα = 0.05, so thereis sufficient evidence to conclude that the population mean numberof customers since the ad campaign began is equal to 193.
   • The data suggest that the population mean number of customerssince the ad campaign began is not significantlyless than 193 at αα = 0.05, so there is insufficient evidence toconclude that the population mean number of customers since the adcampaign began is less than 193.
6. Interpret the p-value in the context of the study.
   • There is a 25.3512784% chance that the population mean numberof customers since the ad campaign began is less than 193.
   • There is a 25.3512784% chance of a Type I error.
   • If the population mean number of customers since the adcampaign began is 193 and if you collect data for another 12 dayssince the ad campaign began, then there would be a 25.3512784%chance that the sample mean for these 12 days would be less than190.4.
   • If the population mean number of customers since the adcampaign began is 193 and if you collect data for another 12 dayssince the ad campaign began, then there would be a 25.3512784%chance that the population mean number of customers since the adcampaign began would be less than 193.
7. Interpret the level of significance in the context of thestudy.
   • If the population mean number of customers since the adcampaign began is 193 and if you collect data for another 12 dayssince the ad campaign began, then there would be a 5% chance thatwe would end up falsely concuding that the population mean numberof customers since the ad campaign began is less than 193.
   • If the population mean number of customers since the adcampaign began is less than 193 and if you collect data for another12 days since the ad campaign began, then there would be a 5%chance that we would end up falsely concuding that the populationmean number of customers since the ad campaign is equal to193.
   • There is a 5% chance that there will be no customers sinceeveryone shops online nowadays.
   • There is a 5% chance that the population mean number ofcustomers since the ad campaign began is less than 193.