Critical value and state decision about null hypothesis


Assignment:

1. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution or neither. The sample data appear to come from a normally distributed population with ? = 28. Explain.

Claim:  = 977.

Sample data: n = 25, x ? = 984, s = 25. Explain.

2. In a sample of 100 M&M's, it is found that 8% are brown. Use a 0.05 significance level to test the claim that of the Mars candy company that the percentage of brown M&M's is equal to 13%. Identify the null and alternative hypotheses.

3. Find the test statistic.

4.  Use the Standard Normal Table to find the p-value, critical value and state the decision about the null hypothesis.

5.  State the conclusion in non-technical terms.

6. Test the claim that for the adult population of one town, the mean annual salary is given by ? = 30,000. Sample data are summarized as n = 17, = $22,298, and s = $14,200. Use a significance level of ? = 0.05. State the null and alternative hypotheses.

7.  Find the test statistic.

8.  Find the critical value and state decision about null hypothesis.

9.  State the conclusion in non-technical terms.

10. Find the critical value or values of ?2 based on the given information. H1: ? > 26.1, n = 9, ? = 0.01

 

 

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