1. The weight of a USB flash drive is 30 grams and is normally distributed. Peri
ID: 3158483 • Letter: 1
Question
1. 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 a = 0.10, the appropriate decision is _______.
reject the null hypothesis and shut down the process
reject the null hypothesis and do not shut down the process
fail to reject the null hypothesis and shut down the process
fail to reject the null hypothesis and do not shut down the process
do nothing
Explanation / Answer
Null, H0: U=30
Alternate, H1: U!=30
Test Statistic
Population Mean(U)=30
Sample X(Mean)=31.9
Standard Deviation(S.D)=1.8
Number (n)=17
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =31.9-30/(1.8/Sqrt(17))
to =4.352
| to | =4.352
Critical Value
The Value of |t | with n-1 = 16 d.f is 1.746
We got |to| =4.352 & | t | =1.746
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Two Tailed ( double the one tail ) -Ha : ( P != 4.3522 ) = 0.0005
Hence Value of P0.1 > 0.0005,Here we Reject Ho
reject the null hypothesis and shut down the process
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