A drapery store manager was interested in determining whether a new employee can install vertical blinds faster than an employee who has been with the company for two years. The manager takes independent samples of 10 records of installations times of vertical blinds of each of the two employees and computes the following information. Test whether the new employee installs vertical blinds faster, on the average, than the veteran employee, at the level of significance 0.05. New Employee Veteran Employee Sample Size 10 10 Sample Mean installation time 22.2 min 24.8 min Sample Standard Deviation installation time 0.90 min 0.75 min Let m1 = true average time takes a new employee to install vertical blinds and m2 = true average time takes a veteran employee to install vertical blinds Group of answer choices A. H0: m1 - m2 = 0, Ha: m1-m2 is not equal to 0 Since the observed value of the test statistics in absolute value is 7.02 which is greater than 2.101, we can conclude (at level .05) that the new employee installs vertical blinds faster, on average than the veteran employee. B. H0: m1 - m2 = 0, Ha: m1-m2 < 0 Since the observed value of the test statistics is -7.02 which is less than -1.734, we can conclude (at level .05) that the new employee installs vertical blinds faster, on average than the veteran employee. C. H0: m1 - m2 = 0, Ha: m1-m2 is not equal to 0 Since the observed value of the test statistics in absolute value is 2.34 which is greater than 2.101, we can conclude (at level .05) that the new employee installs vertical blinds faster, on average than the veteran employee. D. H0: m1 - m2 = 0, Ha: m1-m2 < 0 Since the observed value of the test statistics is -2.34 which is less than -1.734, we can conclude (at level .05) that the new employee installs vertical blinds faster, on average than the veteran employee.
A drapery store manager was interested in determining whether a new employee can install vertical blinds faster than an employee who has been with the company for two years. The manager takes independent samples of 10 records of installations times of vertical blinds of each of the two employees and computes the following information. Test whether the new employee installs vertical blinds faster, on the average, than the veteran employee, at the level of significance 0.05.
| New Employee | Veteran Employee | |
| 10 | 10 | |
| Sample Mean installation time | 22.2 min | 24.8 min |
| Sample Standard Deviation installation time | 0.90 min | 0.75 min |
Let
m1 = true average time takes a new employee to install vertical blinds
and
m2 = true average time takes a veteran employee to install vertical blinds
A. H0: m1 - m2 = 0, Ha: m1-m2 is not equal to 0
Since the observed value of the test statistics in absolute value is 7.02 which is greater than 2.101, we can conclude (at level .05) that the new employee installs vertical blinds faster, on average than the veteran employee.
B. H0: m1 - m2 = 0, Ha: m1-m2 < 0
Since the observed value of the test statistics is -7.02 which is less than -1.734, we can conclude (at level .05) that the new employee installs vertical blinds faster, on average than the veteran employee.
C. H0: m1 - m2 = 0, Ha: m1-m2 is not equal to 0
Since the observed value of the test statistics in absolute value is 2.34 which is greater than 2.101, we can conclude (at level .05) that the new employee installs vertical blinds faster, on average than the veteran employee.
D. H0: m1 - m2 = 0, Ha: m1-m2 < 0
Since the observed value of the test statistics is -2.34 which is less than -1.734, we can conclude (at level .05) that the new employee installs vertical blinds faster, on average than the veteran employee.
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