The accompanying table contains data on the weight, in grams, of a sample of 50 tea bags produced during an eight-hour shift. Complete parts (a) through (d). E Click the icon to view the data table. a. Is there evidence that the mean amount of tea per bag is đifferent from 5.5 grams? (Use a=0.05.) State the null and alternative hypotheses. Hi- 55 (Type integers or decimals.) More Info Determine the test statistic. The test statistic is -0.04. (Round to two decimal places as needed.) Tea Bag Weight (in grams) 5.52 5.33 5.54 5.64 5.42 5.55 5.39 5.45 5.42 5.39 5.51 5.53 5.45 5.64 5.34 5.55 5.54 5.44 5.53 541 5.42 5.69 5.28 5.47 5.54 5.47 5.52 5.39 5.61 5.53 5.59 Find the p-value. 5.79 5.62 5.57 5.45 5.43 5.59 5.51 5.64 5.32 5.49 5.49 5.58 5.52 5.59 5.68 5.36 544 5.26 5.54 p-value 0.968 (Round to three decimal places as needed.) State the conclusion. Do not reject Ho. There is insufficient evidence to conclude that the mean difference is not equal to 5.5 inches. Print Done b. Construct a 95% confidence interval estimate of the population mean amount of tea per bag. Interpret this interval. The 95% confidence interval is (5.4683 Sps 5.5305 (Round to four decimal places as needed.) Interpret the 95% confidence interval. Choose the correct answer below. OA Reject H, because the hypothesized mean is contained within the confidence interval. OB. Reject H, because the hypothesized mean is not contained within the confidence interval. OC. Do not reject H, because the hypothesized mean is contained within the confidence interval. OD. Do not reject H, because the hypothesized mean is not contained within the confidence interval. c. Compare the conclusions reached in (a) and (b). Choose the correct answer below. OA 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 OB. 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. OC. 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. OD. 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Part B and C, please. 

The accompanying table contains data on the weight, in grams, of a sample of 50 tea bags produced during an eight-hour shift. Complete parts (a) through (d).
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 ¤ = 0.05.)
State the null and alternative hypotheses.
Ho: H
5.5
=
5.5
More Info
(Type integers or decimals.)
Determine the test statistic.
Tea Bag Weight (in grams)
The test statistic is -0.04|.
5.64
5.41
5.39
5.53
5.61
5.59
5.33
5.64
5.42
5.42
5.52
5.55
5.44
5.53
5.55
5.39
5.39
5.51
5.45
(Round to two decimal places as needed.)
5.54
5.54
5.47
5.42
5.52
5.45
5.53
5.34
5.69
5.28
5.47
5.54
Find the p-value.
5.79
5.57
5.43
5.59
5.51
5.32
5.49
5.52
5.59
5.62
5.45
5.44
5.26
5.54
5.64
5.49
5.58
5.68
5.36
p-value = 0.968 (Round to three decimal places as needed.)
State the conclusion.
Do not reject Ho. There is insufficient evidence to conclude that the mean difference is not equal to 5.5 inches.
Print
Done
b. Construct a 95% confidence interval estimate of the population mean amount of tea per bag. Interpret this interval.
The 95% confidence interval is 5.4683 us 5.5305
(Round to four decimal places as needed.)
Interpret the 95% confidence interval. Choose the correct answer below.
O A. Reject H, because the hypothesized mean is contained within the confidence interval.
B. Reject H, because the hypothesized mean is not contained within the confidence interval.
OC. Do not reject Ho because the hypothesized mean is contained within the confidence interval.
O D. Do not reject H, because the hypothesized mean is not contained within the confidence interval.
c. Compare the conclusions reached in (a) and (b). Choose the correct answer below.
A. 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.
B. 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 C. 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.
D. 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.
Transcribed Image Text:The accompanying table contains data on the weight, in grams, of a sample of 50 tea bags produced during an eight-hour shift. Complete parts (a) through (d). 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 ¤ = 0.05.) State the null and alternative hypotheses. Ho: H 5.5 = 5.5 More Info (Type integers or decimals.) Determine the test statistic. Tea Bag Weight (in grams) The test statistic is -0.04|. 5.64 5.41 5.39 5.53 5.61 5.59 5.33 5.64 5.42 5.42 5.52 5.55 5.44 5.53 5.55 5.39 5.39 5.51 5.45 (Round to two decimal places as needed.) 5.54 5.54 5.47 5.42 5.52 5.45 5.53 5.34 5.69 5.28 5.47 5.54 Find the p-value. 5.79 5.57 5.43 5.59 5.51 5.32 5.49 5.52 5.59 5.62 5.45 5.44 5.26 5.54 5.64 5.49 5.58 5.68 5.36 p-value = 0.968 (Round to three decimal places as needed.) State the conclusion. Do not reject Ho. There is insufficient evidence to conclude that the mean difference is not equal to 5.5 inches. Print Done b. Construct a 95% confidence interval estimate of the population mean amount of tea per bag. Interpret this interval. The 95% confidence interval is 5.4683 us 5.5305 (Round to four decimal places as needed.) Interpret the 95% confidence interval. Choose the correct answer below. O A. Reject H, because the hypothesized mean is contained within the confidence interval. B. Reject H, because the hypothesized mean is not contained within the confidence interval. OC. Do not reject Ho because the hypothesized mean is contained within the confidence interval. O D. Do not reject H, because the hypothesized mean is not contained within the confidence interval. c. Compare the conclusions reached in (a) and (b). Choose the correct answer below. A. 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. B. 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 C. 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. D. 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.
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