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
icon
Related questions
Question
100%
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman