P value and statistical significance: The two-tailed P value is less than 0.0001 By conventional criteria, this difference is considered to be extremely statistically significant. Confidence interval: The hypothetical mean is 0.0000 The actual mean is 7.0300 The difference between these two values is 7.0300 The 95% confidence interval of this difference: From 6.5184 to 7.5416 Intermediate values used in calculations: t= 28.1058 df = 29 standard error of difference = 0.250 %3D P value and statistical significance: The two-tailed P value equals 0.9054 By conventional criteria, this difference is considered to be not statistically significant. Confidence interval: The hypothetical mean is 7.0000 The actual mean is 7.0300 The difference between these two values is 0.0300 The 95% confidence interval of this difference: From -0.4816 to 0.5416 Intermediate values used in calculations: t= 0.1199 df = 29 standard error of difference = 0.250

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Data set presents a sample of the number of defective flash drives produced by a small manufacturing company over the last 30 weeks. The company's operations manager believes that the number of defects produced by the process is less than seven defective flash drives per week.

Construct a hypothesis test to verify the operations manager's claim. Hypothesis test should include a t test statistic value, a p value, a decision, and a conclusion. 

This is the null and alternative hypotheses (see attachment):

Data:

Mean

7.0300

SD

1.3700

SEM

0.2501

N

30  

P value and statistical significance:
The two-tailed P value is less than 0.0001
By conventional criteria, this difference is considered to be extremely statistically significant.
Confidence interval:
The hypothetical mean is 0.0000
The actual mean is 7.0300
The difference between these two values is 7.0300
The 95% confidence interval of this difference:
From 6.5184 to 7.5416
Intermediate values used in calculations:
t= 28.1058
df = 29
standard error of difference = 0.250
%3D
Transcribed Image Text:P value and statistical significance: The two-tailed P value is less than 0.0001 By conventional criteria, this difference is considered to be extremely statistically significant. Confidence interval: The hypothetical mean is 0.0000 The actual mean is 7.0300 The difference between these two values is 7.0300 The 95% confidence interval of this difference: From 6.5184 to 7.5416 Intermediate values used in calculations: t= 28.1058 df = 29 standard error of difference = 0.250 %3D
P value and statistical significance:
The two-tailed P value equals 0.9054
By conventional criteria, this difference is considered to be not statistically significant.
Confidence interval:
The hypothetical mean is 7.0000
The actual mean is 7.0300
The difference between these two values is 0.0300
The 95% confidence interval of this difference:
From -0.4816 to 0.5416
Intermediate values used in calculations:
t= 0.1199
df = 29
standard error of difference = 0.250
Transcribed Image Text:P value and statistical significance: The two-tailed P value equals 0.9054 By conventional criteria, this difference is considered to be not statistically significant. Confidence interval: The hypothetical mean is 7.0000 The actual mean is 7.0300 The difference between these two values is 0.0300 The 95% confidence interval of this difference: From -0.4816 to 0.5416 Intermediate values used in calculations: t= 0.1199 df = 29 standard error of difference = 0.250
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