Answer to Question #252439 in Statistics and Probability for Pearl

Question

New employees at a manufacturing plant have to attend training program in order to become proficient in a certain piece of machinery. To test if the method of training affects the mean time taken to complete the assembly procedure, 18 new employees are randomly assigned to one of two different training methods: 9 undergo the training program A, and 9 undergo training program B. At the end of the training the time (in minutes) take by these employees to complete the assembly procedure is recorded. Assume that time taken follows a normal distribution. The data are summarised as follows:

 

 Program A Program B Difference (A – B)

Mean 36 31 5

Standard deviation 5.05 4.92 4.12

 

Which one of the following statements is false?

A. The pooled variance is 4.12

B. This is an independent samples t-test

C. This is a 2-sided test

D. The value of the test statistic is 2.1275

E. The test statistic follows a t-distribution with 16 degrees of freedom

Answer 1

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