Question

The sodium content of a popular sports drink is listed as 235 mg in a 32-oz bottle. Analysis of 19 bottles indicates a sample mean of 241.4 mg with a sample standard deviation of 24.3 mg.
  
(a) State the hypotheses for a two-tailed test of the claimed sodium content.
  
a. H₀: μ ≥ 235 vs. H₁: μ < 235
b. H₀: μ ≤ 235 vs. H₁: μ > 235

c. H₀: μ = 235 vs. H₁: μ ≠ 235
  

	a
	b
	c

  
(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 rejectReject H₀. The sample (Click to select)contradictsdoes 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)greaterlower than the significance level of .05
  
(d-2) Did you come to the same conclusion as you did in part (c)?
  

	Yes
	No

Answer 1

The sodium content of a popular sports drink is listed as 235 mg in a 32-oz bottle. Analysis of 19 bottles indicates a sample mean of 241.4 mg with a sample standard deviation of 24.3 mg.