A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 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 46.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.2 milligrams. At α = 0.05, can you reject the company’s claim? Complete parts (a) through (e).(a) Identify H₀ and Hₐ. Choose the correct answer below.- A. H₀: μ ≠ 45, Hₐ: μ = 45- B. H₀: μ ≠ 46.4, Hₐ: μ = 46.4- C. H₀: μ = 46.4, Hₐ: μ ≠ 46.4- D. H₀: μ ≥ 46.4, Hₐ: μ < 46.4- E. H₀: μ = 45, Hₐ: μ ≠ 45 (Correct answer)- F. H₀: μ ≥ 45, Hₐ: μ < 45(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.)- A. The critical value is [ ].- B. The critical values are ± [ ].

From the given information, let X be the weight of caffeine content in cola drink. Number of bottles are selected n = 30. Mean caffeine content in selected cola drinks Population standard deviation Level of significance Claim: The mean caffeine content per 12-ounce bottle of cola is 45 milligrams.The null and alternative hypotheses are, Correct option: (E).Compute the critical value(s). The critical values are -1. 96 and 1.96. Correct option: (B).Use the following formula to compute the test statistic:Decision rule: Reject the null hypothesis if the test statistic value is greater than the critical value, 1.96 and the test statistic value is less than the critical value, -1.96. Conclusion: Since, the test statistic value, 1.24, is less than the critical value, 1.96. Thus, fail to reject the null hypothesis.At 5% significance level, there is no warrant rejection of the claim that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams.

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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 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 46.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.2 milligrams. At a = 0.05, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. O A. Ho: H#45 O B. Ho: H#46.4 Hai µ= 46.4 O D. Ho: µ2 46.4 Ha:µ<46.4 Ha: µ= 45 O C. Ho: H= 46.4 HaiH#46.4 VE. Ho:µ=45 Ha: H#45 OF. Ho: µ245 Ha:u<45 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical value is O B. The critical values are t

A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 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 46.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.2 milligrams. At a = 0.05, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. O A. Ho: H#45 O B. Ho: H#46.4 Hai µ= 46.4 O D. Ho: µ2 46.4 Ha:µ<46.4 Ha: µ= 45 O C. Ho: H= 46.4 HaiH#46.4 VE. Ho:µ=45 Ha: H#45 OF. Ho: µ245 Ha:u<45 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical value is O B. The critical values are t

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 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 46.4 milligrams. Assume the population is normally distributed and the population standard deviation is 6.2 milligrams. At α = 0.05, can you reject the company’s claim? Complete parts (a) through (e).

(a) Identify H₀ and Hₐ. Choose the correct answer below.
- A. H₀: μ ≠ 45, Hₐ: μ = 45
- B. H₀: μ ≠ 46.4, Hₐ: μ = 46.4
- C. H₀: μ = 46.4, Hₐ: μ ≠ 46.4
- D. H₀: μ ≥ 46.4, Hₐ: μ < 46.4
- E. H₀: μ = 45, Hₐ: μ ≠ 45 (Correct answer)
- F. H₀: μ ≥ 45, Hₐ: μ < 45

(b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice.
(Round to two decimal places as needed.)

- A. The critical value is [ ].
- B. The critical values are ± [ ].

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