Young and Company claims that its pressurized diving bell will, on average, main

Question

Young and Company claims that its pressurized diving bell will, on average, maintain its integrity to depths of 2500 feet or more. You take a random sample of 50 of the bells. The average maximum depth for bells in your sample is 2455 feet. Set up an appropriate hypothesis test using Young and Company’s claim as the null hypothesis. Assume the population standard deviation is 200 feet. Use a 5% significance level. What is the p-value that you calculate for this sample? Can you reject the company's claim at the 5% level?

Explanation / Answer

Hypothesis:

null : u >= 2500

alternate: u <2500

test static = 2455 - 2500/200/sqrt(50)

= -1.591

p-value = 0.0558

since p-value is greater than significance level , there is not enough evidence to reject null hypothesis

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