To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

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Chapter 10, Problem 53DA

(a)

To determine

To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

(b)

To determine

To conduct: A test of hypothesis to test whether the mean attendance is more than $2 at 0.05 level of significance.

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2. Hypothesis Testing - Two Sample Means A nutritionist is investigating the effect of two different diet programs, A and B, on weight loss. Two independent samples of adults were randomly assigned to each diet for 12 weeks. The weight losses (in kg) are normally distributed. Sample A: n = 35, 4.8, s = 1.2 Sample B: n=40, 4.3, 8 = 1.0 Questions: a) State the null and alternative hypotheses to test whether there is a significant difference in mean weight loss between the two diet programs. b) Perform a hypothesis test at the 5% significance level and interpret the result. c) Compute a 95% confidence interval for the difference in means and interpret it. d) Discuss assumptions of this test and explain how violations of these assumptions could impact the results.

1. Sampling Distribution and the Central Limit Theorem A company produces batteries with a mean lifetime of 300 hours and a standard deviation of 50 hours. The lifetimes are not normally distributed—they are right-skewed due to some batteries lasting unusually long. Suppose a quality control analyst selects a random sample of 64 batteries from a large production batch. Questions: a) Explain whether the distribution of sample means will be approximately normal. Justify your answer using the Central Limit Theorem. b) Compute the mean and standard deviation of the sampling distribution of the sample mean. c) What is the probability that the sample mean lifetime of the 64 batteries exceeds 310 hours? d) Discuss how the sample size affects the shape and variability of the sampling distribution.

A biologist is investigating the effect of potential plant hormones by treating 20 stem segments. At the end of the observation period he computes the following length averages: Compound X = 1.18 Compound Y = 1.17 Based on these mean values he concludes that there are no treatment differences. 1) Are you satisfied with his conclusion? Why or why not? 2) If he asked you for help in analyzing these data, what statistical method would you suggest that he use to come to a meaningful conclusion about his data and why? 3) Are there any other questions you would ask him regarding his experiment, data collection, and analysis methods?

Answer 2

Question

Chapter 10, Problem 53DA

(a)

To determine

To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

(b)

To determine

To conduct: A test of hypothesis to test whether the mean attendance is more than $2 at 0.05 level of significance.

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Answer 3

Question

Chapter 10, Problem 53DA

(a)

To determine

To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

(b)

To determine

To conduct: A test of hypothesis to test whether the mean attendance is more than $2 at 0.05 level of significance.

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Answer 4

Question

Chapter 10, Problem 53DA

(a)

To determine

To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

(b)

To determine

To conduct: A test of hypothesis to test whether the mean attendance is more than $2 at 0.05 level of significance.

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Answer 5

Chapter 10, Problem 53DA

(a)

To determine

To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

(b)

To determine

To conduct: A test of hypothesis to test whether the mean attendance is more than $2 at 0.05 level of significance.

Answer 6

Chapter 10, Problem 53DA

(a)

To determine

To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

Answer 7

Chapter 10, Problem 53DA

(a)

To determine

To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

Answer 8

(b)

To determine

To conduct: A test of hypothesis to test whether the mean attendance is more than $2 at 0.05 level of significance.

Answer 9

(b)

To determine

To conduct: A test of hypothesis to test whether the mean attendance is more than $2 at 0.05 level of significance.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 10 - Heinz, a manufacturer of ketchup, uses a...Ch. 10 - Prob. 2SR Ch. 10 - For Exercises 14, answer the questions: (a) Is...Ch. 10 - Prob. 2E Ch. 10 - Prob. 3E Ch. 10 - For Exercises 14, answer the questions: (a) Is...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...

To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

To conduct: A test of hypothesis to test whether the mean salary is different from $100.0 million at 0.05 level of significance.

To conduct: A test of hypothesis to test whether the mean attendance is more than $2 at 0.05 level of significance.

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