Before the furniture store began its ad campaign, it averaged 158 customers per day. The manager is investigating if the average is smaller since the ad came out. The data for the 11 randomly selected days since the ad campaign began is shown below:  147, 142, 149, 133, 146, 159, 132, 137, 148, 172, 150 Assuming that the distribution is normal, what can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean  The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer > ≠ < =         H1:H1:  ? p μ  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 Selec

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Before the furniture store began its ad campaign, it averaged 158 customers per day. The manager is investigating if the average is smaller since the ad came out. The data for the 11 randomly selected days since the ad campaign began is shown below: 

147, 142, 149, 133, 146, 159, 132, 137, 148, 172, 150

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

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

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

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

  1. The test statistic ? z t  =  (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 Select an answer accept fail to reject reject  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 less than 158 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 158.
    • The data suggest the population mean is not significantly less than 158 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 158.
    • The data suggest the populaton mean is significantly less than 158 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 158.
  6. Interpret the p-value in the context of the study.
    • If the population mean number of customers since the ad campaign began is 158 and if you collect data for another 11 days since the ad campaign began, then there would be a 0.4617265% chance that the sample mean for these 11 days would be less than 146.8.
    • If the population mean number of customers since the ad campaign began is 158 and if you collect data for another 11 days since the ad campaign began, then there would be a 0.4617265% chance that the population mean number of customers since the ad campaign began would be less than 158.
    •  There is a 0.4617265% chance of a Type I error.
    • There is a 0.4617265% chance that the population mean number of customers since the ad campaign began is less than 158.
  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 less than 158 and if you collect data for another 11 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 158.
    • If the population mean number of customers since the ad campaign began is 158 and if you collect data for another 11 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 158.
    • There is a 10% chance that the population mean number of customers since the ad campaign began is less than 158.
    • There is a 10% chance that there will be no customers since everyone shops online nowadays.
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