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1 In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 17 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm . An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.19 cm and s = 0.7 cm. Conduct the appropriate test at the a = 0.01 level of significance State the null and alternative hypotheses. Ho: H = 9.02 H1: H > 518 (b) Test the hypothesis at the o = 0.10 level of significance. Is a mean math score of 524 statistically significantly higher than 518? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = (Round to two decimal places as needed.) Help Me Solve This View an Example Get More Help - Clear All Check Answer4 A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 120 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. What type of variable is "drive an American-made automobile, or not"? A. Qualitative with two possible outcomes O B. Discrete O C. Continuous O D. Qualitative with more than two possible outcomes What type of hypothesis test is appropriate to conduct for this research? O A. Hypothesis test on a population mean B. Hypothesis test on a population proportion O C. Hypothesis test on a population standard deviation Determine the null and alternative hypotheses. Ho : P = 0.5 H : P > 0.5 (Type integers or decimals. Do not round.) Which distribution should be used for this hypothesis test? A. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. O B. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied. O C. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied. O D. The chi-square distribution because the parameter is o or of, and the model conditions are satisfied. Calculate the test statistic. Test statistic = (Round to two decimal places as needed.) Help Me Solve This View an Example Get More Help - Clear All Check Answer5 A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 30.4 and the sample standard deviation is found to be s = 6.3. Determine if the population mean is different from 25 at the a = 0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses. He: = 25 # 25 (b) Calculate the P-value. P-value = (Round to three decimal places as needed.) Help Me Solve This View an Example Get More Help - Clear All Check Answer6 A psychologist obtains a random sample of 20 mothers in the rst trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 30 minutes each day until they give birth. Alter 5 years, the mild is administered an IQ test. It is known that IQs are normally distributed with a mean of 100. It the IDS of the 20 children in the study result in a sample mean of 103.9 and sample standard deviation of 14.9, is there evidence that the children have higher le7 Use the a = 0.10 level of signicance. What type of hypothesis test is appropriate to conduct for this research? A. Hypothesis test on a population proportion ' B. Hypothesis test on a population standard deviation AV 0. Hypothesis test on a population mean Determine the null and alternative hypotheses. Ho: p = 100 H1: p > 100 (Type integers or decimals. Do not round.) Which distribution should be used for this hypothesis test? . A. The normal distribution because the parameter is a proportion, p, and the model conditions are satised. .V B. The Student's t-distribution because the parameter is the mean, 0 is not known, and the model conditions are satised. C- The chi-square distribution because the parameter is a or 62, and the model conditions are satised. D. The normal distribution because the parameter is the mean. a is known, and the model conditions are satised. Calculate the test statistic. Test statistic = (Round to two decimal places as needed.) Help Me Solve This View an Example Get More Help A Clear All 7 Suppose you wish to determine if the mean IQ of students on a certain campus is different from the mean IQ in the general population, 100. To conduct this study, you obtain a simple random sample of 50 students on this campus, administer an IQ test, and record the results. The mean IQ of the sample of 50 students is found to be 106.5 with a standard deviation of 12.6. Complete parts (a) through (c) below. Click the icon to view the t-distribution table. (a) Construct a hypothesis test Ho: H = Ho versus H, : H # Ho for Ho = 102, 103, 104, 105, 106, 107, 108, 109, 110, and 111 at a = 0.05 level of significance. Determine the test statistics for Ho = 102, 103, 104, 105, and 106. Ho = 102 to = Ho = 103 to = 0 10 = 104 to = 0 Table of Critical t-Values Ho = 105 to = 0 Ho = 106 to = ] (Round to two decimal places as needed.) Area in right tai 1-Distribution Degrees of Area in Right Tail Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0605 1.000 1.376 1.963 6.314 12.706 4.303 6.965 63.657 636.619 22.32 31.59 2.353 10.215 12 924 2.015 5.598 2173 3.365 4.032 4.773 5.893 4.317 4.028 3.835 2090 0.671 0.677 0674 Degrees of 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0605 Freedom t-Distribution Area in Right Tai Help Me Solve This View an Example Get More Help