Question

1. consider a hypothesis where h0 states μ = 24 against h1 where μ ≠ 24. the test is?

• right - tailed
• left - tailed
• center - tailed
• two - tailed

1. which of the following is defined as the rule or formula to test a null hypothesis?

• test statistic
• population statistic
• variance statistic
• null statistic

1. when testing the hypothesis that the variances of two independent normal distributions are equal, which test statistic is used?

• z test statistic
• f test statistic
• pooled t test statistic
• chi - square test statistic

Explanation:

1.

A two - tailed test is used when the alternative hypothesis is that the parameter is not equal to the value specified in the null hypothesis. In the given context where we are just considering a general hypothesis situation without a specific direction (greater than or less than), it is a two - tailed test.

A test statistic is a rule or formula used to test a null hypothesis. It is calculated from sample data and is used to decide whether to reject or fail to reject the null hypothesis.

When testing the hypothesis that the variances of two independent normal distributions are equal, the F - test statistic is used. The F - test compares the ratio of the two sample variances.

Answer:

Two - tailed

2.