Question

A set of data was collected involving the number of defective items found in a random sample of 46 cases of light bulbs produced during a morning shift at a plant. A manager wants to know if the mean number of defective bulbs per case is greater than 20 during the morning shift. She will make her decision using a test with a level of significance of 0.10. The following information was determined for the sample of 46 cases: n = 46; Arithmetic Mean = 28.00; Standard Deviation = 25.92; Standard Error = 3.82; Null Hypothesis: H0: μ ≤ 20 versus H1: μ > 20; α = 0.10; df = 45; T Test Statistic = 2.09; One-Tail Test Upper Critical Value = 1.3006; p-value = 0.021; Decision = Reject True or False: The manager can conclude that there is sufficient evidence to show that the mean number of defective bulbs per case is greater than 20 during the morning shift with no more than a 1% probability of incorrectly rejecting the true null hypothesis. TRUE OR FALSE

Answer 1

we have to test whether  mean number of defective bulbs per case is greater than 20 during the morning shift.

it is given that

test statistic = 2.09

p value = 0.021

alpha level = 0.10

it is clear that the p value is less than alpha level, this means that the result is significant and we can reject the null hypothesis

there is sufficient evidence to conclude that mean number of defective bulbs per case is greater than 20 during the morning shift.

therefore, given statement is correct

TRUE