The weight of a USB flash drive is 30 grams and is normally distributed.Periodically,quality control inspectors at Dallas Flash Drives randomly select a sample of 17 USB flash drives.If the mean weight of the USB flash drives is too heavy or too light the machinery is shut down for adjustment; otherwise,the production process continues.The last sample showed a mean and standard deviation of 31.9 and 1.8 grams,respectively.Using $\alpha$ = 0.10,the appropriate decision is _______.
A)reject the null hypothesis and shut down the process
B)reject the null hypothesis and do not shut down the process
C)fail to reject the null hypothesis and shut down the process
D)fail to reject the null hypothesis and do not shut down the processe)do nothing

Question

Quizplus · Accepted Answer

The null hypothesis is that the mean weight is 30 grams. With a sample mean of 31.9 grams, a standard deviation of 1.8 grams, and a sample size of 17, the test statistic is calculated. Given the significance level of 0.10, if the test statistic falls in the critical region, we reject the null hypothesis and shut down the process. The test statistic indicates that the mean weight significantly differs from 30 grams, leading to the rejection of the null hypothesis and shutting down the process for adjustment.

The Weight of a USB Flash Drive Is 30 Grams α\alphaα

The Weight of a USB Flash Drive Is 30 Grams $\alpha$