Answered: The sodium content of a popular sports…

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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The sodium content of a popular sports drink is listed as 220 mg in a 32-oz bottle. Analysis of 10 bottles indicates a sample mean of 228.2 mg with a sample standard deviation of 18.2 mg.

(a) State the hypotheses for a two-tailed test of the claimed sodium content.

H₀: μ ≥ 220 vs. H₁: μ < 220
H₀: μ ≤ 220 vs. H₁: μ > 220
H₀: μ = 220 vs. H₁: μ ≠ 220

(b) Calculate the t test statistic to test the manufacturer’s claim. (Round your answer to 4 decimal places.)

Test statistic

(c) At the 5 percent level of significance (α = .05), does the sample contradict the manufacturer’s claim?

(Click to select)   Do not reject   Reject  H₀. The sample   (Click to select)   contradicts   does not contradict  the manufacturer’s claim.

(d-1) Use Excel to find the p-value and compare it to the level of significance. (Round your answer to 4 decimal places.)

The p-value is  . It is   (Click to select)   greater   lower  than the significance level of .05.

(d-2) Did you come to the same conclusion as you did in part (c)?

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