# Standard Deviation, Significance Level

The management of White Industries is considering a new method of assembling its golf cart.

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 the new method, was 40.6 minutes, and the standard

deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we

conclude that the assembly time using the new method is faster?

https://brainmass.com/statistics/hypothesis-testing/standard-deviation-significance-level-14153

#### Solution Preview

we can conduct a t-test for the case:

<br>Ho: M=40.6 or the mean assembly time is 40.6 minutes

<br>Ha: M>40.6 or the mean assembly time is ...

#### Solution Summary

The management of White Industries is considering a new method of assembling its golf cart.

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 the new method, was 40.6 minutes, and the standard

deviation of the sample was 2.7 minutes. Using the .10 level of significance, can we

conclude that the assembly time using the new method is faster?