In: Statistics and Probability
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?
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.