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 Number of Defective Flashdrives for 30 Weeks Column1 SUMMARY OUTPUT Mean 7.033333333 Standard Error 0.251356473 Regression Statistics Median Multiple R 0.303005183 Mode 6 R Square 0.091812141 Standard Deviation 1.376736104 Adjusted R Square 0.05937686 Sample Variance 1.895402299 Standard Error 8.538049739 Kurtosis -0.739244989 Observations 30 Skewness 0.276119591 Range ANOVA Minimum df Significance F MS Maximum 10 Regression 206.3477865 206.3477865 2.83062575 0.103603045 Sum 211 Residual 28 2041.152213 72.89829334 Count 30 Total 29 2247.5 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 1.872650091 8.248361046 0.227032992 0.82204756 -15.02335158 18.76865177 #Flashdrives 1.937537902 1.15161942 1.68244636 0.10360305 -0.421447544 4.296523347

Name: Data set presents a sample of the number of defective flash drives pro
Uploaded: 2024-03-20T07:07:00.000Z
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Description: 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 defec

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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Question

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 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

Number of Defective Flashdrives for 30 Weeks
Column1
SUMMARY OUTPUT
Mean
7.033333333
Standard Error
0.251356473
Regression Statistics
Median
Multiple R
0.303005183
Mode
6
R Square
0.091812141
Standard Deviation
1.376736104
Adjusted R Square
0.05937686
Sample Variance
1.895402299
Standard Error
8.538049739
Kurtosis
-0.739244989
Observations
30
Skewness
0.276119591
Range
ANOVA
Minimum
df
Significance F
MS
Maximum
10
Regression
206.3477865
206.3477865 2.83062575
0.103603045
Sum
211
Residual
28
2041.152213
72.89829334
Count
30
Total
29
2247.5
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
1.872650091
8.248361046
0.227032992 0.82204756
-15.02335158
18.76865177
#Flashdrives
1.937537902
1.15161942
1.68244636 0.10360305
-0.421447544
4.296523347

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