Bottles of a soft drink are filled by machine and the net content of a bottle has a normal distribution with mean µ liters and standard deviation σ = 0.07 liters. A random sample of 49 bottles and the sample average content is 2.02 liters.  An analyst wishes to test H0  : µ = 2 against H1  : µ /= 2.  I f     α      = 0.05, which of the following statements is correct?       p-value = 0.05 and we fail to reject H0       p-value = 0.05 and we fail to reject H0       p-value = 0.0228 and we reject H0       p-value = 0.0456 and we reject H0

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 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 1.6 mg of nicotine. Conduct a test using a significance level of a = 0.05. (a) The standardized test statistic (b) The critical value (endpoint of Rejection Region) is z* = (c) The final conclusion is OA. The nicotine content is probably higher than advertised. B. There is not sufficient evidence to show that the ad is misleading.

Newspaper Reading Times A survey taken several years ago found that the average time a person spent reading the local daily newspaper was 10.8 minutes. The standard deviation of the population was 3  minutes. To see whether the average time had changed since the newspaper's format was revised, the newspaper editor surveyed 40  individuals. The average time that the 40  people spent reading the paper was 12.4  minutes. At α=0.10 , is there a change in the average time an individual spends reading the newspaper? Find the 90%  confidence interval of the mean. (a) State the hypothesis and identify the claim with the correct hypothesis. :H0     ▼(Choose one)   :H1     ▼(Choose one)   This hypothesis test is a ▼(Choose one) test.       (b)Find the critical value(s). Round the answer to 2  decimal places, if necessary.   Critical values:   (c)Compute the test value. Round the answer to at least 2 decimal places, if necessary. z=   (d)Make the decision.…

H0:μ=41.92H0:μ=41.92H1:μ≠41.92H1:μ≠41.92Your sample consists of 43 subjects, with a mean of 42 and standard deviation of 1.56.Calculate the test statistic, rounded to 2 decimal places. t=

Newspaper Reading Times A survey taken several years ago found that the average time a person spent reading the local daily newspaper was 10.8 minutes. The standard deviation of the population was 3  minutes. To see whether the average time had changed since the newspaper's format was revised, the newspaper editor surveyed 40  individuals. The average time that the 40  people spent reading the paper was 12.4  minutes. At α=0.10 , is there a change in the average time an individual spends reading the newspaper? Find the 90%  confidence interval of the mean. **NOTE** I already have answer for a,b, and c    (d)Make the decision.   ▼(Choose one) the null hypothesis.       (e)Summarize the results.   There ▼(Choose one) enough evidence to support the claim that there is a change in the average time an individual spends reading the newspaper. Find the 90% confidence interval of the mean. Round the answers to nearest whole number. <u<   (f)Do the results agree?…

The lifetime of a Michelin defender tire (in thousands of miles) is normally distributed with mean μ = 41 and standard deviation σ = 7. What proportion of Michelin tires have lifetimes between 35 and 47 thousand miles?