5.) How long does it take to have food delivered? A Chinese restaurant advertises that the average delivery time will be no more than 29 minutes. A random sample of delivery times (in minutes) is shown below. Based on this sample, is the average delivery time greater than 29 minutes? Use a 5% level of signicance. Assume that the distribution of times is normal. 32 28 21 39 30 27 29 You need to nd the SAMPLE MEAN and SAMPLE 39 32 23 42 25 26 30 STANDARD DEVIATION (Hint: use calculator) a.) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? b.) identify the sampling distribution you will use: the standard normal or the Student's tdistribution. What is the value of the sample test statistic? c.) Find (or estimate) the P value or P value range. Sketch the sampling distribution and show the area corresponding to the P value. (Alternate method: Find the critical value(s) and sketch the critical regions and the sample test statistic on the normal curve.) d.) Based on your answers, will you reject or fail to reject the null hypothesis? e.) Interpret your decision in the context of the application