Tea Bag Weight (in grams) 5.64 5.46 5.43 5.41 5.52 5.36 5.53 5.47 5.51 5.39 5.56 5.42 5.53 5.53 5.55 5.63 5.55 5.45 5.45 5.51 5.46 5.39 5.47 5.62 5.53 5.33 5.66 5.28 5.47 5.54 5.78 5.59 5.43 5.58 5.57 5.52 5.34 5.49 5.52 5.56 5.62 5.43 5.44 5.26 5.55 5.63 5.49 5.55 5.67 5.36The accompanying table contains data on the weight, in grams, of a sample of 50 tea bags produced during an eight-hour shitt. Complete parts (a) through (d). 3 Click the icon to View the data table. a. Is there evidence that the mean amount of tea per bag is different from 5.5 grams? (Use or = 0.10.) State the null and alternative hypotheses. H041 V H1 : [J V (Type integers or decimals.) Determine the test statistic. The test statistic is . (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) State the conclusion. V Ho- There is V evidence to conclude that the mean difference is not equal to 5.5 inches. b. Construct a 90% confidence interval estimate of the population mean amount of tea per bag. Interpret this interval. The 90% confidence interval is S u 5 (Round to four decimal places as needed.) Interpret the 90% confidence interval. Choose the correct answer below. O A. Do not reject Ho because the hypothesized mean is not contained within the confidence interval. O B. Do not reject Ho because the hypothesized mean is contained within the confidence interval. O C. Reject Ho because the hypothesized mean is not contained within the confidence interval. O D. Reject Ho because the hypothesized mean is contained within the confidence interval.c. Compare the conclusions reached in (a) and (b). Choose the correct answer below. O A. The confidence interval shows insufficient evidence while the hypothesis test shows sufficient evidence that the mean amount of tea per bag is different from 5.5 grams. O B. The confidence interval and hypothesis test both show that there is sufficient evidence that the mean amount of tea per bag is different from 5.5 grams. O C. The confidence interval shows sufficient evidence while the hypothesis test shows insufficient evidence that the mean amount of tea per bag is different from 5.5 grams. O D. The confidence interval and hypothesis test both show that there is insufficient evidence that the mean amount of tea per bag is different from 5.5 grams