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 alternative hypotheses (see attachment):Data:Mean7.0300SD1.3700SEM0.2501N30 Number of Defective Flashdrives for 30 WeeksColumn1SUMMARY OUTPUTMean7.033333333Standard Error0.251356473Regression StatisticsMedianMultiple R0.303005183Mode6R Square0.091812141Standard Deviation1.376736104Adjusted R Square0.05937686Sample Variance1.895402299Standard Error8.538049739Kurtosis-0.739244989Observations30Skewness0.276119591RangeANOVAMinimumdfSignificance FMSMaximum10Regression206.3477865206.3477865 2.830625750.103603045Sum211Residual282041.15221372.89829334Count30Total292247.5CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Intercept1.8726500918.2483610460.227032992 0.82204756-15.0233515818.76865177#Flashdrives1.9375379021.151619421.68244636 0.10360305-0.4214475444.296523347 P value and statistical significance:The two-tailed P value equals 0.9054By conventional criteria, this difference is considered to be not statistically significant.Confidence interval:The hypothetical mean is 7.0000The actual mean is 7.0300The difference between these two values is 0.0300The 95% confidence interval of this difference:From -0.4816 to 0.5416Intermediate values used in calculations:t= 0.1199df = 29standard error of difference = 0.250

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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

The appropriate Null and Alternative Hypotheses are given below: From the given information, the…

Answered: Number of Defective Flashdrives for 30…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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 alternative hypotheses (see attachment):

Data:

Mean	7.0300
SD	1.3700
SEM	0.2501
N	30

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

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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