An owner of press is claiming that the standard deviation of the pressure is less than...

An owner of press is claiming that the standard deviation of the pressure is less than 10 pounds-per-square-inch (psi). Suppose you take a random sample of 15 measurements throughout the day of the psi and find the mean is 5 and standard deviation to be 14, using the α=0.05, test the claim by traditional approach.

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Expert Solution

H0: Null Hypothesis: 10 ( the standard deviation of the pressure is not less than 10 pounds-per-square-inch (psi).

HA: Alternative Hypothesis: < 10 ( the standard deviation of the pressure is less than 10 pounds-per-square-inch (psi). (Claim)

n = 15

s = 14

= 0.05

df = 15 - 1 = 14

By Technology, critical value of = 6.571

Test Statistic is given by:

Since calculated value of = 27.44 is greater than critical value of = 6.571, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data do not support the claim that the standard deviation of the pressure is less than 10 pounds-per-square-inch (psi).

orchestra answered 1 year ago

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