The mean number of English courses taken in a two-year time period by male and f

Question

The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of two English courses with a standard deviation of 0.8. The females took an average of three English courses with a standard deviation of 1.2. Are the means statistically the same? (Use = 0.05)

State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom. Round your answer to two decimal places.) 5)

Explanation / Answer

Since we do not know the population standard deviations and the sample sizes are less than 30,

We will use t test for independent means here.

Statistical software output for this test is:

Two sample T hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 0
(without pooled variances)

Hypothesis test results:

Hence,

Degrees of freedom = 22.53

So,

We will use t22.53

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