6. In a test for the effectiveness of garlic for lowering cholesterol, 47 subjects were treated with (1 point)
garlic in tablet form and the changes in LDL cholesterol measured in mg/dL were recorded
The mean of the sample group is 3.2 with a standard deviation of 18.6. Construct a 95%
confidence interval estimate of the mean net change in LDL cholesterol after the garlic
treatment. What does the confidence interval level suggest about the effectiveness of garlic in
reducing LDL cholesterol?
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The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes

Step-by-step explanation:

The average time it takes to manufacture a pair of shoes = 21 minutes;

The standard deviation = 3 minutes

To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;

Standard score, given as follows;

Where;

x = The raw score = 27 minutes

μ = The average score = 21 minutes

σ = The standard deviation = 3 minutes

From which we have;

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275

Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.