Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.   A simple random sample of 25 filtered 100 mm cigarettes is​ obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.2mg and a standard deviation of 3.22 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results​ suggest, if​ anything, about the effectiveness of the​ filters?   1. What is the test statistic? 2. What is the p-value?

An automobile manufacturer has given its van a 53.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van performs under the manufacturer's MPG rating. After testing 200 vans, they found a mean MPG of 52.9. Assume the population standard deviation is known to be 1.6. Is there sufficient evidence at the 0.05 level to support the testing firm's claim?   Step 1 of 6 :   State the null and alternative hypotheses.

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, ​ P-value, and state the final conclusion that addresses the original claim.   A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.4 mg and a standard deviation of 3.61 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the​ filters?   a) What are the hypotheses?   b) Identify the P-value.   c) State the final conclusion.    A. Fail to reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.   B. Fail to reject H0. There is insufficient evidence to support…

If the standard deviation of hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the rivet will not fit. Suppose that in a sample of 15, the standard deviation is 0.008 millimeter. Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter? Use α = 0.10.   What is the Statistical Decision in statement form?

An SRS of 20 orangutans is selected, and 65 cc of blood is to be drawn from each orangutan using a 100 cc syringe. In the sample, the mean volume is 64 cc and the standard deviation is 12 cc. Assume that in the population of all such procedures, the amount of blood drawn follows ą Normal distribution with mean u. A 90% confidence interval for the population mean volume based on these data is

A simple random sample of 17 different cereals is obtained, and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected. Those amounts have a mean of 0.293 gram and a standard deviation of 0.165 gram. Use a 0.05 significance level to test the claim of a cereal lobbyist that the mean for all cereals is less than 0.31 gram. Formulate the null and alternative hypotheses. Choose the correct answer below. OA. Ho: μ = 0.31 Ha: μ>0.31 OC. Ho: μ<0.31 H₂: p=0.31 novamal O B. Ho: μ = 0.31 Ha₂: μ0.31 O D. Ho: μ= 0.31 Hg:μ <0.31

A data set lists earthquake depths. The summary statistics are n = 600, x= 5.39 km, s = 4.87 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A. Ho: µ#5.00 km H1:µ= 5.00 km В. Но 35.00 km H1: µ> 5.00 km С. Но: р%35.00 km D. Ho: µ= 5.00 km %3D H1: µ#5.00 km H1: µ<5.00 km Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Reject Ho. There is sufficient evidence to conclude that the original claim that the mean of the population of earthquake depths is 5.00 km correct. is