The sodium content of a popular sports drink is listed as 205 mg in a 32-oz bott

Question

The sodium content of a popular sports drink is listed as 205 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample mean of 219.2 mg with a sample standard deviation of 18.0 mg. (a) State the hypotheses for a two-tailed test of the claimed sodium content. a. H0: 205 vs. H1: < 205 b. H0: 205 vs. H1: > 205 c. H0: = 205 vs. H1: 205 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 1 percent level of significance ( = .01), does the sample contradict the manufacturer’s claim?    H0. The sample 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 than the significance level of .01. (d-2) Did you come to the same conclusion as you did in part (c)?    Yes

Explanation / Answer

a) H0: = 205 vs. H1: 205

b) here std error =std deviaiton/(n)1/2 =18/(20)1/2 =4.025

threfore test statistic t=(X-mean)/std error =(219.2-205)/4.205 =3.5280

c) reject Ho ;The sample the contradict manufacturer’s claim

d-1) p value =0.0022

as The p-value is less then the significance level of .01.  

d-2) Yes

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