TABLE 9-1
Microsoft Excel was used on a set of data 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 extracted from the Microsoft Excel output for the sample of 46 cases:

-Referring to Table 9-1, the null hypothesis would be rejected if a 1% probability of committing a Type I error is allowed.

Question

TABLE 9-1
Microsoft Excel was used on a set of data 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 extracted from the Microsoft Excel output for the sample of 46 cases:
 
-Referring to Table 9-1, the null hypothesis would be rejected if a 1% probability of committing a Type I error is allowed.

Quizplus · Accepted Answer

The table indicates that the critical value for a one-tailed test with a significance level of 0.10 and 45 degrees of freedom is 1.677. The t-statistic for the sample of 46 cases is -3.01, which falls beyond the critical value, leading to the rejection of the null hypothesis that the mean number of defective bulbs per case is less than or equal to 20. However, the question states that the level of significance is 0.10, which means that the probability of committing a Type I error is 10%, not 1%. Therefore, the null hypothesis would not be rejected at a 1% level of significance, making the statement false.

TABLE 9-1 Microsoft Excel Was Used on a Set of Data Involving