Module 5 Assignment

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Daniel Tafmizi

Lis 4273

Dr. Ajani 

February 11, 2024

Module 5 Assignment

1 ) The director of manufacturing at a cookies company needs to determine whether a new machine is able to produce a particular type of cookies according to the manufacturer's specifications, which indicate that cookies should have a mean of 70 and standard deviation of 3.5 pounds. A sample of 49 cookies reveals a sample mean breaking strength of 69.1 pounds.


A. 

Null Hypothesis: The new machine falls within the manufacturers' specifications for cookie breaking strength.

Alternative Hypothesis: The new machine does not fall within the manufacturers' specifications for cookie breaking strength.

B. Is there evidence that the machine is not meeting the manufacturer's specifications for average strength? Use a 0.05 level of significance. 

No, the new machine is meeting the manufacturers' specifications.


C. Compute the p value and interpret its meaning

The P-value is .0719, which is greater than the level of significance. Thus we fail to reject the null hypothesis. Which means the new machine falls within the manufacturers' specifications.


D. What would be your answer in (B) if the standard deviation were specified as 1.75 pounds?

The P-value would be .0003, which is less than the level of significance. Thus we would reject the null hypothesis. Meaning the new machine does not fall within the manufacturers' specifications. 


E. What would be your answer in (B) if the sample mean were 69 pounds and the standard deviation is 3.5 pounds?

The P-value would be .0455, which is less than the level of significance. Thus we would reject the null hypothesis. Meaning the new machine does not fall within the manufacturers' specifications. 

2) If x̅ = 85, σ = standard deviation = 8, and n=64, set up 95% confidence interval estimate of the population mean μ.

[83.00166,86.99834]

3) a. Calculate the correlation coefficient for this data set

 0.9854322

b. Pearson correlation coefficient 

0.9854322

c. Create plot of the correlation




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