please answer questions 1-4 Before the furniture store began its ad campaign, it averaged 174 customers per day. The manager is investigating if the average is smaller since the ad came out. The data...

please answer questions 1-4

 Before the furniture store began its ad campaign, it averaged 174 customers per day. The manager is investigating if the average is smaller since the ad came out. The data for the 13 randomly selected days since the ad campaign began is shown below:

164, 189, 142, 142, 172, 178, 190, 166, 169, 173, 185, 190, 176

Assuming that the distribution is normal, what can be concluded at the αα = 0.10 level of significance?

For this study, we should uset-test for a population mean ?

The null and alternative hypotheses would be:

 H0:  ?
μ

= 174

 H1:  ?μ <>

The test statistic
 t
=-0.451     (please show your answer to 3 decimal places.)

The p-value = 0.33        (Please show your answer to 4 decimal places.)

The p-value is >  α

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


2. 
   Thus, the final conclusion is that ...
   
   
   

   
   
   • The data suggest that the population mean number of customers since the ad campaign began is notsignificantly less than 174 at αα = 0.10, so there is insufficient evidence to conclude that the population mean number of customers since the ad campaign began is less than 174.
   
   
   • The data suggest the populaton mean issignificantly less than 174 at αα = 0.10, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is less than 174.
   
   
   • The data suggest the population mean is notsignificantly less than 174 at αα = 0.10, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is equal to 174.
   
   

   
   
   
   


3. 
   Interpret the p-value in the context of the study.
   
   
   

   
   
   • If the population mean number of customers since the ad campaign began is 174 and if you collect data for another 13 days since the ad campaign began, then there would be a 33.00197922% chance that the population mean number of customers since the ad campaign began would be less than 174.
   
   
   • If the population mean number of customers since the ad campaign began is 174 and if you collect data for another 13 days since the ad campaign began, then there would be a 33.00197922% chance that the sample mean for these 13 days would be less than 172.
   
   
   •  There is a 33.00197922% chance of a Type I error.
   
   
   • There is a 33.00197922% chance that the population mean number of customers since the ad campaign began is less than 174.
   
   

   
   
   
   


4. 
   Interpret the level of significance in the context of the study?
   
   
   

   
   
   • If the population mean number of customers since the ad campaign began is 174 and if you collect data for another 13 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 less than 174.
   
   
   • There is a 10% chance that there will be no customers since everyone shops online nowadays.
   
   
   • There is a 10% chance that the population mean number of customers since the ad campaign began is less than 174.
   
   
   • If the population mean number of customers since the ad campaign began is less than 174 and if you collect data for another 13 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 174.