Question

Question No 2

A professional rock climber claims that he can climb a particular mountain within 24 minutes. From a random sample of 24 attempts, the rock climber averaged 25.6 minutes with a standard deviation of 2.5 minutes. Is there sufficient evidence to suggest that the climber's claim is incorrect at a significance level of 3 percent? Apply the P-value approach.

Question No 3

Thomas is a shift manager at a local fast food place and is responsible for quality management. Thomas wants to ensure that all the frozen hamburger patties that get delivered by the supplier weigh four ounces on average. Assume that the standard deviation of the weight of hamburger patties is known to be 0.4 ounces. Thomas tells one of his employees that as a shipment arrives, select 25 patties whose average is  5 ounces. Test the claim by P-value approach by using α=0.04

Answer 1

Solution :

Samples size = n = 24

Sample mean = = 25.6

Standard deviation = s = 2.5

Hypothesis test

The null and alternative hypothesis is

H0 : μ = 25
H1 : μ < 25 ( This is left tailed test)

The test statistic :

Dicision : Reject the null hypothesis .

Conclusion : There is sufficient evidence to suggest that the climber's claim is incorrect at a significance level of 3 percent.

2)

Dicision : Reject the null hypothesis.

Conclusion : There is sufficient evidence to believe that all the frozen hamburger patties that get delivered by the supplier weigh four ounces on average.