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 different from 5.5 grams? (Use a0.10.) State the null and altemative hypotheses. Họi More Info Hạ: (Type integers or decimals.) Tea Bag Weight (in grams) 5.64 5.53 5.41 5.51 5.53 5.59 5.35 5.43 5.41 5.53 5.55 5.54 5.63 5.59 5.44 5.44 5.27 5.57 5.42 5.51 5.34 5.52 5.47 5.61 5.32 5.51 5.64 5.51 5.57 Determine the test statistic. 5.58 5.41 5.56 5.68 5.33 5.46 542 5.49 5.54 5.66 5.49 5.42 5.78 5.58 5.59 5.46 5.41 5.52 5.57 5.27 The test statistic isn (Round to two decimal places as needed.) 5.51 Find the p-value. p-value =N(Round to three decimal places as needed.) State the conclusion. Print Done | 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. Ho. There is The 90% confidence interval isOsps (Round to four decimal places as needed.) Interpret the 90% confidence interval. Choose the corect answer below. O A. Do not reject H, because the hypothesized mean is contained within the confidence interval. O B. Reject H, because the hypothesized mean is contained within the confidence interval. OC. Do not reject H, because the hypothesized mean is not contained within the confidence interval. OD. Reject Ho because the hypothesized mean is not contained within the confidence interval.
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 different from 5.5 grams? (Use a0.10.) State the null and altemative hypotheses. Họi More Info Hạ: (Type integers or decimals.) Tea Bag Weight (in grams) 5.64 5.53 5.41 5.51 5.53 5.59 5.35 5.43 5.41 5.53 5.55 5.54 5.63 5.59 5.44 5.44 5.27 5.57 5.42 5.51 5.34 5.52 5.47 5.61 5.32 5.51 5.64 5.51 5.57 Determine the test statistic. 5.58 5.41 5.56 5.68 5.33 5.46 542 5.49 5.54 5.66 5.49 5.42 5.78 5.58 5.59 5.46 5.41 5.52 5.57 5.27 The test statistic isn (Round to two decimal places as needed.) 5.51 Find the p-value. p-value =N(Round to three decimal places as needed.) State the conclusion. Print Done | 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. Ho. There is The 90% confidence interval isOsps (Round to four decimal places as needed.) Interpret the 90% confidence interval. Choose the corect answer below. O A. Do not reject H, because the hypothesized mean is contained within the confidence interval. O B. Reject H, because the hypothesized mean is contained within the confidence interval. OC. Do not reject H, because the hypothesized mean is not contained within the confidence interval. OD. Reject Ho because the hypothesized mean is not contained within the confidence interval.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 a = 0.10.)
State the null and alternative hypotheses.
More Info
Ho: H
(Type integers or decimals.)
Tea Bag Weight (in grams)
5.51
5.54
5.64
5.43
5.42
5.41
5.34
5.52
5.47
5.53
5.41
Determine the test statistic.
5.58
5.41
5.53
5.55
5.61
5.56
5.46
5.42
5.51
5.49
5.42
5.46
5.63
5.52
5.32
5.68
5.27
5.49
5.53
The test statistic is.
5.78
5.58
5.41
5.59
5.57
5.51
5.33
5.51
5.54
5.59
(Round to two decimal places as needed.)
5.59
5.44
5.44
5.27
5.57
5.64
5.51
5.57
5.66
5.35
Find the p-value.
p-value = (Round to three decimal places as needed.)
%3D
State the conclusion.
Print
Done
Ho. There is
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 sus .
(Round to four decimal places as needed.)
Interpret the 90% confidence interval. Choose the correct answer below.
O A. Do not reject H, because the hypothesized mean is contained within the confidence interval.
B. Reject H, because the hypothesized mean is contained within the confidence interval.
C. Do not reject H, because the hypothesized mean is not contained within the confidence interval.
D. Reject Ho 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.
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.
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.
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.
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