Question

A company manufactures steel beams. The deflection of a 10-footsteel beam should notexceed 0.012 inchbecausethe beam would beunacceptable. The engineer, JJ, was given the assignment to determine if the currentmanufacturingprocess in the productionflooris meeting expectations? How will JJ go about accomplishing this task.

Answer 1

The required steps are shown below:

Explanation:

Consider the provided information.

The required steps are:

Step 1: First he need to collect the sample which should be randomly selected and sample size should be large.

Step 2: Find
`\bar{x}` of the sample.

Step 3: Find the standard deviation.

Step 4: Use null and alternative hypotheses:

`H_0 : \mu = 0.012 \\ewline H_a : \mu > 0.012`

Step 5: Take
`\mu = 0.012` and level of significance α = 0.05

Step 6: Population Variance is unknown so conduct A right tailed t test and obtain the value of test statistic t and p-value .

Step 7: If p-value is < 0.05, Reject null hypothesis, else Do not reject null hypothesis.

Step 8: Give conclusion on the basis of whether null hypothesis is rejected or not.