Cigaretes randomly seleced from two popular brands are analyzed to determine their nicotine content(in mg.). The...
The nicotine content in cigarettes of a certain brand is Normally distributed with a standard deviation of σ = 0.1 milligrams. The brand advertises that the mean nicotine content of their cigarettes is μ = 1.5, but you are suspicious and plan to investigate the advertised claim by testing the hypotheses H0 : μ = 1.5 versus Ha : μ > 1.5 at the 5% significance level. You will do so by measuring the nicotine content of 15 randomly selected...
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 ≠...
We want to compare sugar contents ow two cracker brands. 17 crackers are chosen from the first brand and it is observed that the sample has an average sugar content of x1= 2.73mg, with a sample standart deviation of s1=0.1mg, 9 crackers are chosen from the second brand and it is observed that this sample has and average sugar content of x2=2.53 mg, with a sample standart deviation of s2=0.1mg. We want to determine whether the average sugar content of...
The mean potassium content of a popular sports drink is listed as 148 mg in a 32-oz bottle. Analysis of 40 bottles indicates a sample mean of 147.4 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. H0: μ = 148 mg vs. H1: μ ≠ 148 mg H0: μ ≤ 148 mg vs. H1: μ > 148 mg H0: μ ≥ 148 mg vs. H1: μ < 148 mg a b c (b) Assuming...
Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a...
The mean potassium content of a popular sports drink is listed as 149 mg in a 32-oz bottle. Analysis of 28 bottles indicates a sample mean of 148 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content. a. H0: μ = 149 mg vs. H1: μ ≠ 149 mg b. H0: μ ≤ 149 mg vs. H1: μ > 149 mg c. H0: μ ≥ 149 mg vs. H1: μ < 149 mg (b) Assuming...
Refer to the accompanying datatable, which shows the amounts of nicotine (mg per cigarette) in king- sigarettes, 100 menthol cigarettes and 100-mm nonmental cigarettes. The king-size cigarettes are no litered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are flered. Use a 0.06 significance level to test the claim that the three categories of cigarettes yield the same man amount of nicotine. Given that only the king size cigarettes are not fired, do the Stars appear to make...
Two competing toothpaste brands both claim to produce the best toothpaste for whitening. A dentist randomly samples 48 patients that use Brand A (Group 1) and finds 30 of them are satisfied with the whitening results of the toothpaste. She then randomly samples 45 patients that use Brand B (Group 2) and finds 33 of them are satisfied with the whitening results of the toothpaste. Construct a 99% confidence interval for the difference in proportions and use it to decide...
please find p-value
Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear...
(2 points) For each problem, select the best response. a) The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) u and standard deviation o=0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but you believe that the mean nicotine content is actually higher than advertised. To explore this, you test the hypotheses H. :p=1.5, H iu > 1.5 and you obtain a P-value of 0.052. Which of the...