Questions 4 and 5 are based on the following: New employees at a manufacturing plant have to attend a 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 Standard deviation 5.05 4.92 4.12 Which one of the following statements is false? OA. The value of the test statistic is 2.1275 B. This is an independent samples t-test C. The pooled variance is 4.12 D. The test statistic follows a t-distribution with 16 degrees of freedom E. This is a 2-sided test

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Questions 4 and 5 are based on the following: New employees at a manufacturing plant have to attend a 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
Standard deviation
5.05
4.92
4.12
Which one of the following statements is false?
A. The value of the test statistic is 2.1275
B. This is an independent samples t-test
C. The pooled variance is 4.12
D. The test statistic follows a t-distribution with 16 degrees of freedom
E. This is a 2-sided test
Transcribed Image Text:E Sites Questions 4 and 5 are based on the following: New employees at a manufacturing plant have to attend a 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 Standard deviation 5.05 4.92 4.12 Which one of the following statements is false? A. The value of the test statistic is 2.1275 B. This is an independent samples t-test C. The pooled variance is 4.12 D. The test statistic follows a t-distribution with 16 degrees of freedom E. This is a 2-sided test
Which one of the following statements is true?
A. At the 5% level of significance we conclude that the two methods do not differ in terms of time taken to complete the assembly procedure
OB. At the 1% level of significance, the absolute value of the critical value is 2.5835
C. At the 1% level of significance we conclude that the two methods differ in terms of time taken to complete the assembly procedure
D. At the 10% level of significance, the absolute value of the critical value is 1.3368
OE. At the 5% level of significance, the absolute value of the critical value is 2.1199
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Transcribed Image Text:Which one of the following statements is true? A. At the 5% level of significance we conclude that the two methods do not differ in terms of time taken to complete the assembly procedure OB. At the 1% level of significance, the absolute value of the critical value is 2.5835 C. At the 1% level of significance we conclude that the two methods differ in terms of time taken to complete the assembly procedure D. At the 10% level of significance, the absolute value of the critical value is 1.3368 OE. At the 5% level of significance, the absolute value of the critical value is 2.1199 Reset Selection
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