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 χ² based on the given information.H₁: σ > 26.1, n = 9, α = 0.01

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