SOLUTION: 1- A survey is being planned to determine the mean amount of time corporation executives watch television. A pilot survey indicated that the mean time per week is 12 hours, with a

Algebra ->  Probability-and-statistics -> SOLUTION: 1- A survey is being planned to determine the mean amount of time corporation executives watch television. A pilot survey indicated that the mean time per week is 12 hours, with a      Log On


   

Question 377584: 1- A survey is being planned to determine the mean amount of time corporation executives watch television. A pilot survey indicated that the mean time per week is 12 hours, with a standard deviation of 3 hours. It is desired to estimate the mean viewing time within one quarter hour. The 0.95 degree of confidence is to be used. How many executives should be surveyed?
2- A nutrition label for Oriental Spice states that one package of the sauce has 1,190 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 200 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1,167.34 milligrams of sodium per package with a sample standard deviation of 252.94 mg. Is the sufficient evidence to reject the null hypothesis at a significance level of 0.01?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

2)

Ho: sodium = 1190

Ha: sodium < 1190

*Note: Test statistic = z+=blue+%28x+-+mu%29%2Fblue%28sigma%2Fsqrt%28n%29%29

Test statistic = z+=blue+%281167.34+-+1190%29%2Fblue%28252.94%2Fsqrt%28200%29%29



z = -22.66 /17.8856 = -1.26  NORMSDIST(-1.26)= .1038 > .05

evidence is not sufficient enough to reject the null hypothesis at a significance level of 0.01