# Hypothesis Testing with One Sample

__Module 3 Homework 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 *σ*** = 28. Explain.**

Claim:*μ*** = 977. **

Sample data: *n* = 25, = 984, *s* = 25.Explain.

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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.

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3. (Refer to problem 2) Find the test statistic.

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4.(Refer to problem 2) Use the Standard Normal Table to find the *p*-value, critical value(s) and state the decision about the null hypothesis.

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5.(Refer to problem 2) State the conclusion in non-technical terms.

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

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**7.(Refer to Question 6) **Find the test statistic.

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**8.(Refer to Question 6) **Find the critical value(s) and state decision about null hypothesis.

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**9.(Refer to Question 6) **State the conclusion in non-technical terms.

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10. Find the critical value or values of *χ*^{2 }based on the given information.*H*_{1}: *σ* > 26.1, *n* = 9, *α* = 0.01

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