1)

A food distribution company claims that a fast food restaurant chain receives, on average, 26 pounds of meat on a daily basis. The district manager of the restaurant chain decides to randomly sample 38 shipments from the company and finds a mean weight of 24.3 pounds with a standard deviation of 4.5 pounds. Test at a 2% level of significance to determine whether or not the food distribution company sends less than they claim. a. Check all of the requirements that are satisfied. (Points removed for each incorrect answer.) random O the I distribution is normal since n > 30 O the I distribution is normal since the I distribution is normal O the p distribution is normal since np 2 5 and n(1 - p) 2 5 b. Identify the null and alternative hypotheses. Ho: Select an answer V ? V H1: Select an answer V V c. What type of hypothesis test should you conduct (left, right, or two-tailed)? O right-tailed Oleft-tailed O two-tailed d. Identify the appropriate significance level. Make sure to enter your answer as a decimal. e. Find the test statistic value. Write the result below, and be sure to round your final answer to two decimal places. f. Should you use & or t to find your p-value? Select an answer g. Find the p-value. Enter your answer as a decimal (not a percentage) and round to 4 decimal places. h. Should you reject or not reject the null hypothesis, based on your previous work? O do not reject the null hypothesis since the test statistic is outside the critical region O do not reject the null hypothesis since p-value > a O reject the null hypothesis since p-value 81.2 You believe the population is approximately normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 28 with a mean of & = 90.3 and a standard deviation of S = 18.6. Should you use z or t to find a critical region? Select an answer What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O accept the null O fail to reject the null O reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 81.2. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 81.2. O The sample data support the claim that the population mean is greater than 81.2. O There is not sufficient sample evidence to support the claim that the population mean is greater than 81.2. Add WorkWhat is the generic way to write a confidence interval? Parameter Unbiased1) What property do we want to be true to make sure 0 is an unbiased estimator of of OE O E(0) - 0 =0 O None of them E(8 ) - 8 OF(@) - 0 0