Multiple choice question

Sony would like to test the hypothesis that the average age of a PlayStation user (mu 1) is greater than the average age of an Xbox user (mu 2). A random sample of 36 PlayStation users had an average age of 34.2 years while a random sample of 30 Xbox users had an average age of 32.7 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.9 and 4.0 years, respectively. Sony would like to set alpha = 0.01

The standard error of the difference between the two sample means is:

Select one:

a.6.

b.1.53

c.0.01.

d.0.98

Sony would like to set alpha = 0.01. The null hypothesis is formulated as follows:

Select one:

a.H0: Mu 1 minus mu 2 is less than or equal to 0.

b.H0: Mu 1 minus mu 2 is strictly less than 0.

c.H0: Mu 1 minus mu 2 is strictly greater than 0.

d.H0: Mu 1 minus mu 2 is greater than or equal to 0.

Sony would like to set alpha = 0.01. The value of the test statistic is:

Select one:

a.1.53.

b.32.7.

c.-1.53.

d.34.2.

Sony would like to set alpha = 0.01. The critical value is ________ and the null hypothesis should _______.

Select one:

a.-2.33; be rejected.

b.2.33; not be rejected.

c.1.96; be rejected.

d.1.645; not be rejected.