Before the furniture store began its ad campaign, it averaged 182 customers per day. The manager is investigating if the average is smaller since the ad came out. The data for the 14 randomly selected days since the ad campaign began is shown below: 151,161,180,168,185,149, 151, 170,166,149,164,191,191, 193 Assuming that the distribution is normal, what can be concluded at the a = 0.05 level of significance? a- For this may, we should use b. The null and alternative hypotheses would be: He: -:] H1: -_[:] c. The test statistic = C] (please show your answer to 3 decimal places.) d. The p-value = C] (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that ' The data suggest the population mean is not significantly less than 182 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is equal to 182. ' The data suggest the populaton mean is significantly less than 182 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is less than 182. ' The data suggest that the population mean number of customers since the ad campaign began is not significantly less than 182 at a = 0.05, so there is insufficient evidence to conclude that the population mean number of customers since the ad campaign began is less than 182. h. Interpret the p-value in the context of the study. ' If the population mean number of customers since the ad campaign began is 182 and if you collect data for another 14 days since the ad campaign began, then there would be a 0.5869510796 chance that the sample mean for these 14 days would be less than 169.2. ' If the population mean number of customers since the ad campaign began is 182 and if you collect data for another 14 days since the ad campaign began, then there would be a 0.5869510796 chance that the population mean number of customers since the ad campaign began would be less than 182. ' There is a 0.5869510796 chance that the population mean number of customers since the ad campaign began is less than 182. There is a 05869510796 chance of a Type I error. i. Interpret the level of significance in the context of the study. ' If the population mean number of customers since the ad campaign began is 182 and if you collect data for another 14 days since the ad campaign began, then there would be a 596 chance that we would end up falsely concuding that the population mean number of customers since the ad campaign began is less than 182. ' There is a 596 chance that there will be no customers since everyone shops online nowadays. ' If the population mean number of customers since the ad campaign began is less than 182 and if you collect data for another 14 days since the ad campaign began, then there would be a 596 chance that we would end up falsely concuding that the population mean number of customers since the ad campaign is equal to 182. ' There is a 596 chance that the population mean number of customers since the ad campaign began is less than 182