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 safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.05 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? 726 632 1075 586 543 530 - What are the hypotheses? OA Ho: = 1000 hic Η μ3 1000 hte O B. Ho u> 1000 hic H:H< 1000 hic OC. Ho: <1000 hic H 2 1000 hic D. Ho: = 1000 hic H < 1000 hic Identify the test statistic t= (Round to three decimal places as needed.)

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…

A data set includes data from student evaluations of courses. The summary statistics are n= 92, x = 3.57, s = 0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. 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.

Use the pulse rates in beats per minute of a random sample of adult females listed in the data set that is available below to test the claim that the means is less than 74 b. p.m. Use a 0.10 significance level.