Question

In: Statistics and Probability

3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in...

3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) µ. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but measurements on a random sample of 100 cigarettes of this brand gave a mean of ¯ x = 1.53 and standard deviation s = 0.1. Is there sufficient evidence in the sample to suggest that the mean nicotine content is actually higher than advertised? Use α = 0.05. (Hint: follow the steps: 1) set H0 and Ha; 2) set the rejection region; 3) compute the test statistic; 4) make decision based on the test statistic.) (15 pts.)

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in...
3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)μ. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but measurementson a random sample of 100 cigarettes of this brand gave a mean of ̄x= 1.53 and standard deviations= 0.1. Is there sufficient evidence in the sample to suggest that the mean nicotine content is actuallyhigher than advertised? Useα= 0.05. (Hint: follow the steps: 1) setH0andHa; 2) set the...
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)...
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) ? μ and standard deviation ?=0.1 σ = 0.1 . The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a SRS of 15 cigarettes of this brand. The sample yields an average of 1.4 mg of nicotine. Conduct...
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)...
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) μμ and standard deviation σ=0.1σ=0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a SRS of 10 cigarettes of this brand. The sample yields an average of 1.6 mg of nicotine. Conduct a test using a significance...
The manufacturer of a certain brand of cigarettes states that the nicotine content in their cigarettes...
The manufacturer of a certain brand of cigarettes states that the nicotine content in their cigarettes is 18.2mg with a standard deviation of 1.15mg. An independent testing agency examined a random sample cigarettes (sample below). At a 5% level of significance, is there evidence for the testing agency to conclude that the mean nicotine level to be other than the company states? Cigarette Nicotine Level (mg) 19.51 17.34 19.58 18.31 18.98 19.02 18.63 18.4 18.32 17.74 18.82 17.92 17.77 18.54...
The manufacturer of a certain brand of cigarettes states that the nicotine content in their cigarettes...
The manufacturer of a certain brand of cigarettes states that the nicotine content in their cigarettes is 18.2mg with a standard deviation of 1.15mg. An independent testing agency examined a random sample cigarettes (sample below). At a 5% level of significance, is there evidence for the testing agency to conclude that the mean nicotine level to be other than the company states? Cigarette Nicotine Level (mg) 19.51   17.34   19.58   18.31   18.98   19.02   18.63 18.4   18.32   17.74   18.82 17.92   17.77 18.54  ...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.883 g and a standard deviation of 0.293 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. In what range would you expect to find the middle 95% of amounts of nicotine in these cigarettes (assuming the mean has not changed)? Between and . If you were to draw samples of size 30 from this...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.902 g and a standard deviation of 0.287 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 33 cigarettes with a mean nicotine amount of 0.832 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 33 cigarettes with...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.946 g and a standard deviation of 0.326 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. In what range would you expect to find the middle 98% of amounts of nicotine in these cigarettes (assuming the mean has not changed)? Between  and . If you were to draw samples of size 46 from this population,...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.911 g and a standard deviation of 0.297 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. In what range would you expect to find the middle 50% of amounts of nicotine in these cigarettes (assuming the mean has not changed)? Between ____ and ____. If you were to draw samples of size 54 from...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean...
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.893 g and a standard deviation of 0.306 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 44 cigarettes with a mean nicotine amount of 0.819 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting 44 cigarettes with...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT