Question

In: Statistics and Probability

A company is considering a new way to assemble its golf carts. The present method requires...

A company is considering a new way to assemble its golf carts. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using a new method of assembling was 40.6 minutes with a standard deviation of 2.7 minutes. Use a .10 level of significance to determine if there is evidence that the new method if faster. What will be the value of your critical value?

Solutions

Expert Solution

Given : Sample size=n=24

Sample mean=40.6

Sample standard deviation=s=2.7

Significance level=0.10

Hypothesized value=42.3

We have , Hypothesis : Vs  

The critical value is ,

; From t-tabe

The test statistic is ,

Decision : Here , the value of the test statistic does not lies in the rejection region.

Therefore , Do not reject Ho.

Conclusion : Hence , there is not sufficient evidence to support the claim that the new method is faster.


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