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...

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

Extracted text: 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


Extracted 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