Question

(1 point) A student project involved collecting data to see if there was a difference in the amount of time one had to wait at the drive-thru between two fast food restaurants, A and B. She randomly selected 17 cars at fast food restaurant A and 17 cars at fast food restaurant B. For each car chosen, she recorded how much time passed from the placement of the order to receiving their food at the pick-up window. The data is given in the table below. Fast Food A Fast Food B 163.3 71 186.8 126.5 140.7 140.7 120.1 148 124. 163.2 182.7 168. 193 173.8 91.8 177.1 156.1 204.9 221.3 73.6 94.4 225 175 230 111.7 297.3 77.6 305.2 129.1 313.8 134.7 345.2 139 288.4 (a) Choose the most appropriate statistical hypotheses. ОА. Но : ил %3DИв НА: ИА> ИВ оВ. Но : Ир 3D0, НА: ИD#0 ос. Но : ир 3 0, НА: Ир> 0 D. Ho : MD3D0, НА: иD <0 HA HD0 ОЕ. Но : иА ив НА: ИА < ИВ OF. Ho AHB HA: HA HB (b) Test the statistical hypotheses in (a) by carrying out the appropriate statistical test. Find the value of the test statistic for this test, use two decimals in your answer. Test Statistic (c) Determine the P-value for this test, to three decimal places P = the null hypothesis. Use a = 0.05. (d) Based on the above calculations, we should

Answer 1

Answer Date: 04/01/2020 To test the hypothesis is that there was a difference in the amount of time one had to wait at the drive-thru between two fast food restaurants at 5% significance level. The null and alternative hypothesis is, H:41 = 112 H :Hi Hl2 The answer is F. The t-test statistics is, By using Excel software, find t-test statistics with the help of following steps: 1) Import the data. 2) Select t-test: Two Sample Assuming Unequal Variances from Data Analysis in Data menu.

4) 5) Select Variable 1 Range and Variable 2 Range. Give Hypothesized Mean Difference. Select Labels and give Alpha. Choose Output Range from Output options. Click Ok. 7) t-Test: Two-Sample Assuming Unequal Variances Fast Food A Fast Food B 134.9235294 211.7352941 1419.684412 5868.144926 17 0 17 23 Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail -3.709822292 0.000576543 1.713871517 0.001153085 2.068657599 From the Excel output, the t-test statistics is -3.71].

The p-value for this test is, From the Excel output in part (b), the p-value for this test is 0.001 Decision The conclusion is that p-value in this context is less than 0.05 which is 0.001, so reject the null hypothesis at 5% level of significance. There is sufficient evidence to indicate that there was a difference in the amount of time one had to wait at the drive-thru between two fast food restaurants. The result is statistically significant.