1. What should one take into consideration when testing the null hypothesis of the equality of...

1. What should one take into consideration when testing the null hypothesis of the equality of two means using small samples?

2. Explain the concept of p-value ?

Solutions

Expert Solution

To testing the null hypothesis of the equality of two means using small samples we use two sample t test

This test is consist of two type.

Student t test and welch t test.

Student t test assume equal std deviation and welch t test assume std deviation is not equal.

In both case null hypothesis is Two means are same and alternative hypothesis is two means are statistically significant.

In statistics, the p-value is the probability of obtaining results as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct. A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.

P value is nothing but the minimum level of significance.

Simply, p value is the probability that null hypothesis is true.

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