The sodium content of a popular sports drink is listed as 240 mg in a 32-oz bott

Question

The sodium content of a popular sports drink is listed as 240 mg in a 32-oz bottle. Analysis of 16 bottles indicates a sample mean of 254.4 mg with a sample standard deviation of 22.7 mg. State the hypotheses for a two-tailed test of the claimed sodium content. H_0: mu greaterthanorequalto 240 vs.H_1: mu 240 H_0 mu = 240 vs. H_1: mu notequalto 240 a b c Calculate the f test statistic to test the manufacturer's claim. (Round your answer to 4 decimal places.) At the 1 percent level of significance (alpha = .01). does the sample contradict the manufacturer's claim? Use Excel to find the rho-value and compare it to the level of significance. (Round your answer to 4 decimal places.) Did you come to the same conclusion as you did in part (c)? yes no

Explanation / Answer

solution:

1) a) Ho=240 and Ha not equal to 240

2) t test

=240-254.4/22.7* 4=0.1585

3) T statistics is greater than 1 percent thus we accept the null hypothesis. It does not contradict the manufacture's claim

4) t.dist(254.4,15,0) = 0.0000001

5) since the p value is very small we reject the null hypothesis

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