Answered: A company that makes cola drinks states…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 6CR

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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 35.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At α=0.05, can you reject the company's claim? Complete parts (a) through (e).

Part 1(a) Identify H0 and Ha.

Choose the correct answer below.

A.) H0:μ≥35.4

Ha:μ<35.4

B.) H0:μ≠35

Ha:μ=35

C.) H0:μ=35

Ha:μ≠35

D.) H0: μ≥35

Ha: μ<35

E.) H0: μ≠35.4

Ha:μ=35.4

F.) H0: μ=35.4

Ha:μ≠ 35.4

(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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