**Welch’s t-test**is used to test whether or not the means of two populations are equal.

This type of test does not assume that the two samples have equal variances. If you would like to make this assumption, you should instead use the two sample t-test calculator.

To perform Welch’s t-test, simply fill in the information below and then click the “Calculate” button.

**Sample 1**

**Sample 2**

**t = ** -1.608761

**df = ** 17

**p-value (one-tailed) = ** 0.063040

**p-value (two-tailed) = ** 0.126080

this is kinda swag

I noticed I get different values when I use spss and minitab…. this software agrees with my results from minitab. Is there a reason for that?

Directions: Solve the following problems by following the steps in hypothesis testing.

1. A personality test was administered to 15 boys and 10 girls in a private school. With the data given below, test whether the girls differed in their personality from that of the boys. Higher scores indicate better personality traits.

Girls – 18, 19, 22, 24, 25, 25, 26, 32, 36, 36

Boys – 13, 16, 16, 19, 20, 20, 20, 21, 24, 24, 26, 27, 28, 30, 32

2. In a Mathematics test, 25 grade six children from a city school registered a mean score of 78 and a standard deviation of 8.0. In the same test a group of 30 children from the rural area got a mean of 72 with a standard deviation of 5.0. Is there a difference between the performance of the two groups?

Please help to answer

Directions: Solve the following problems by following the steps in hypothesis testing.

1. A personality test was administered to 15 boys and 10 girls in a private school. With the data given below, test whether the girls differed in their personality from that of the boys. Higher scores indicate better personality traits.

Girls – 18, 19, 22, 24, 25, 25, 26, 32, 36, 36

Boys – 13, 16, 16, 19, 20, 20, 20, 21, 24, 24, 26, 27, 28, 30, 32

2. In a Mathematics test, 25 grade six children from a city school registered a mean score of 78 and a standard deviation of 8.0. In the same test a group of 30 children from the rural area got a mean of 72 with a standard deviation of 5.0. Is there a difference between the performance of the two groups?

We need H0: μ_1>μ_3 case and H0: μ_1>μ_3.