Before the furniture store began its ad campaign, it averaged 159 customers per day. The manager is investigating if the average has changed since the ad came out. The data for the 12 randomly selected days since the ad campaign began is shown below: 191, 161, 179, 160, 166, 181, 168, 163, 180, 164, 191, 147 Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance? For this study, we should use t-test for a population mean The null and alternative hypotheses would be: H0: μ = 159 H1: μ ≠ 159 The test statistic t = 3.070. 1. The p-value = ________ (Please show your answer to 4 decimal places.) The p-value is? ≤ α Based on this, we should 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 not significantly different from 159 at αα = 0.05, so there is insufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 159. ___ The data suggest the population mean is not significantly different from 159 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 159. ___ The data suggest the populaton mean is significantly different from 159 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 159. 3. Interpret the p-value in the context of the study. ___ If the population mean number of customers since the ad campaign began is 159 and if you collect data for another 12 days since the ad campaign began, then there would be a 1.06605776% chance that the population mean would either be less than 147.1 or greater than 170.9. ____ There is a 1.06605776% chance that the population mean number of customers since the ad campaign began is not equal to 159. ___ If the population mean number of customers since the ad campaign began is 159 and if you collect data for another 12 days since the ad campaign began, then there would be a 1.06605776% chance that the sample mean for these 12 days would either be less than 147.1 or greater than 170.9. ___ There is a 1.06605776% chance of a Type I error.
Before the furniture store began its ad campaign, it averaged 159 customers per day. The manager is investigating if the average has changed since the ad came out. The data for the 12 randomly selected days since the ad campaign began is shown below:
191, 161, 179, 160, 166, 181, 168, 163, 180, 164, 191, 147
Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance?
For this study, we should use t-test for a population mean
The null and alternative hypotheses would be:
H0: μ = 159
H1: μ ≠ 159
The test statistic t = 3.070.
1. The p-value = ________ (Please show your answer to 4 decimal places.)
The p-value is? ≤ α
Based on this, we should 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 not significantly different from 159 at αα = 0.05, so there is insufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 159.
___ The data suggest the population mean is not significantly different from 159 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 159.
___ The data suggest the populaton mean is significantly different from 159 at αα = 0.05, so there is sufficient evidence to conclude that the population mean number of customers since the ad campaign began is different from 159.
3. Interpret the p-value in the context of the study.
___ If the population mean number of customers since the ad campaign began is 159 and if you collect data for another 12 days since the ad campaign began, then there would be a 1.06605776% chance that the population mean would either be less than 147.1 or greater than 170.9.
____ There is a 1.06605776% chance that the population mean number of customers since the ad campaign began is not equal to 159.
___ If the population mean number of customers since the ad campaign began is 159 and if you collect data for another 12 days since the ad campaign began, then there would be a 1.06605776% chance that the sample mean for these 12 days would either be less than 147.1 or greater than 170.9.
___ There is a 1.06605776% chance of a Type I error.
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 159 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 different from 159.
____ There is a 5% chance that the population mean number of customers since the ad campaign began is different from 159.
___ If the population mean number of customers since the ad campaign began is different from 159 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 159.
____ There is a 5% chance that there will be no customers since everyone shops online nowadays.
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