Before the furniture store began its ad campaign, it averaged 242 customers per day. The manager is investigating if the average is larger since the ad came out. The data for the 12 randomly selected days since the ad campaign began is shown below:  246, 261, 265, 253, 238, 267, 225, 272, 254, 259, 228, 255 Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance? For this study, we should use     The null and alternative hypotheses would be:       H0:H0:                   H1:H1:               The test statistic     =  (please show your answer to 3 decimal places.)

Before the furniture store began its ad campaign, it averaged 242 customers per day. The manager is investigating if the average is larger since the ad came out. The data for the 12 randomly selected days since the ad campaign began is shown below: 

246, 261, 265, 253, 238, 267, 225, 272, 254, 259, 228, 255

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

1. For this study, we should use    
2. The null and alternative hypotheses would be:     

 H0:H0:                 

 H1:H1:              

1. The test statistic     =  (please show your answer to 3 decimal places.)
2. The p-value =  (Please show your answer to 4 decimal places.)
3. The p-value is     αα
4. Based on this, we should      the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest that the population mean number of customers since the ad campaign began is not significantly more than 242 at αα = 0.05, so there is insufficient evidence to conclude that the population mean number of customers since the ad campaign began is more than 242.
   • The data suggest the population mean is not significantly more than 242 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 242.
   • The data suggest the populaton mean is significantly more than 242 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is more than 242.
6. Interpret the p-value in the context of the study.
   • If the population mean number of customers since the ad campaign began is 242 and if you collect data for another 12 days since the ad campaign began then there would be a 2.13815226% chance that the sample mean for these 12 days would be greater than 251.9.
   •  There is a 2.13815226% chance of a Type I error.
   • If the population mean number of customers since the ad campaign began is 242 and if you collect data for another 12 days since the ad campaign began then there would be a 2.13815226% chance that the population mean number of customers since the ad campaign began would be greater than 242.
   • There is a 2.13815226% chance that the population mean number of customers since the ad campaign began is greater than 242.
7. Interpret the level of significance in the context of the study.
   • If the population mean number of customers since the ad campaign began is more than 242 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 242.
   • 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 more than 242.
   • If the population mean number of customers since the ad campaign began is 242 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 more than 242.