The production manager of a manufacturer wants to evaluate a modified ball beari
ID: 3365720 • Letter: T
Question
The production manager of a manufacturer wants to evaluate a modified ball bearing production process. When the process is operating properly, the process produces ball bearings whose weights have a mean of 5 ounces and a standard deviation of 0.1 ounce. A new raw-material supplier was used for a recent production run, and the manager wants to know if that change has caused any problem. If there was a problem, the mean weight of a ball bearing would be different. The manager will test the following hypotheses Ho:p=5 and H1: +5 From a random sample of 100 ball bearings, the sample mean was 5.04%. The significance level is specified as 10%. What is the probability of typel errors in this hypothesis testing? O a. 2.58% o b. 0.04% O c. 5.04% O d. 5.00% O e. 10.00%Explanation / Answer
Type I error occurs when we incorrectly reject the null hypothesis.
This means though null hypothesis is true we reject it because the test statistics calculated falls in the rejection region.
Here the rejection region is significance level i.e. 0.1
Hence the probability to rejecting i.e. type I error is 0.1
Option E is correct
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