Question

MY MATH İS TERRBİLE THAN YOU İMAGİNE. so can you summarize and show all the formulas and basic questions of all of them, I will upvote and I will pray for you:D Thank you

Hypothesis Tests of a Single Population

1)Formulate null and alternative hypotheses for applications involving

-a single population mean from a normal distribution

-a single population proportion (large samples)

-the variance of a normal distribution

2) Formulate a decision rule for testing a hypothesis

3) Know how to use the critical value and p-value approaches to test the null hypothesis (for both mean and proportion problems)

4) Use the chi-square distribution for tests of the variance of a normal distribution

in Other words:

1) hypothesis testing methodology

2) z Test for the mean (σ known)

3) critical value and p-value approaches to hypothesis testing

4) one-tail and two-tail tests

5) t test for the mean (σ unknown)

6) z test for the proportion

7) a hypothesis test for the variance (χ²

Answer 1

Solution : t-test for the mean (std deviation of population unknown).

Z-test for the mean (std deviation of population known).