Question

In: Statistics and Probability

The manufacturer of a certain brand of pre-made hamburgers claims that the mean fat content of...

The manufacturer of a certain brand of pre-made hamburgers claims that the mean fat content of its burgers is 12 grams. Management is concerned that the true average fat content of the burgers is higher than this amount. To investigate, they sample 20 burgers and find a mean fat content of 13.1 grams. Assuming that the fat content of burgers is Normally distributed with a population standard deviation of ? = 3.1 grams, is there evidence that the true average fat content is more than 12 grams? Answer this question using a hypothesis test and alpha-level of 0.01.

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The manufacturer of a certain brand of pre-made hamburgers claims that the mean fat content of...
The manufacturer of a certain brand of pre-made hamburgers claims that the mean fat content of its burgers is 12 grams. Management is concerned that the true average fat content of the burgers is higher than this amount. To investigate, they sample 20 burgers and find a mean fat content of 13.1 grams. Assuming that the fat content of burgers is Normally distributed with a population standard deviation of ? = 3.1 grams, is there evidence that the true average...
The manufacturer of a certain brand of auto batteries claims that the mean life of these...
The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 45 months. A consumer protection agency that wants to check this claim took a random sample of 24 such batteries and found that the mean life for this sample is 43.15 months. The lives of all such batteries have a normal distribution with the population standard deviation of 4.5 months. Find the p-value for the test of hypothesis with the alternative hypothesis...
A certain brand of cereal claims that the mean sodium content per serving is less than...
A certain brand of cereal claims that the mean sodium content per serving is less than 235 mg and past research suggests that the standard deviation is 10 mg. You find that a sample of 53 cereal servings has a mean sodium content of 233 mg. Using a 0.10 significance​ level, what can you conclude about the​ brand’s claim? 1) What type of hypothesis test is​ this? ​2) State the hypotheses. 3) Calculate the value of the Test Statistic. 4)...
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  ...
A manufacturer claims that the average tar content of a certain kind of cigarette is μ...
A manufacturer claims that the average tar content of a certain kind of cigarette is μ = 14.0. In an attempt to show that it differs from this value, five measurements are made of the tar content (mg per cigarette): 14.5 14.2 14.4 14.3 14.6 Construct a 99% confidence interval for the variance of the population sampled.
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...
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...
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....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT