IQ: Scores on a certain IQ test are known to have a mean of 100. A random sample of 63 students attend a series of coaching classes before taking the test. Let ? be the population mean IQ score that would occur if every student took the coaching classes. The classes are successful if ? > 100. A test is made of the hypotheses H?: ? = 100 versus H?: ? > 100. Consider three possible conclusions: (i) The classes are successful. (ii) The classes are not successful. (iii) The classes might not be successful. Part 1 of 2 Which of the three conclusions is best if H? is not rejected? The best conclusion is (iii). Part 2 of 2 Assume that the classes are not successful. Is it possible to make a Type II error? Explain. (Choose one), a type II error (Choose one) possible. The classes are not successful when the null hypothesis is (Choose one).
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The null hypothesis (H0) is that the population mean IQ score (Āµ) is 100, which means the coaching classes have no effect on the IQ scores. Show moreā¦
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IQ: Scores on a certain IQ test are known to have a mean of 100. A random sample of 36 students attend a series of coaching classes before taking the test. Let <Ī¼Ļ¢ be the population mean IQ score that would occur if every student took the coaching classes. The classes are successful if <Ī¼Ļ¢ > 100. A test is made of the hypotheses H0: <Ī¼Ļ¢ = 100 versus H1: <Ī¼Ļ¢ > 100. Consider three possible conclusions: (i) The classes are successful. (ii) The classes are not successful. (iii) The classes might not be successful. Which of the three conclusions is best if H0 is rejected? The best conclusion is Assume that the classes are not successful. Is it possible to make a Type I error? Explain. (Choose one), a type I error (Choose one) possible. The classes are not successful when the null hypothesis is (Choose one).
Ariana N.
Scores on a certain IQ test are known to have a mean of 100. A random sample of 60 students attend a series of coaching classes before taking the test. Let Ī¼ be the population mean of IQ score that would occur if every student took the coaching classes. The classes would be successful if Ī¼ > 100. A test is made of the hypotheses Hā: Ī¼ = 100 vs. Hā: Ī¼ > 100. Consider three possible conclusions: i. The classes are successful. ii. The classes are not successful. iii. The classes might not be successful. a. Which of the three conclusions is best if Hā is rejected? b. Which of the three conclusions is best if Hā is not rejected? c. Assume that the classes are successful but the conclusion is reached that the classes might not be successful. Which type of error does this statement represent?
Qudsiya A.
The mean IQ score of humans is 100. Suppose the director of Institutional Research at Joliet Junior College (JJC) obtains a simple random sample of $40 \mathrm{JJC}$ students and finds the mean IO is 103.4 with a standard deviation of $13.2 .$ (a) Consider the hypotheses $H_{0}: \mu=100$ versus $H_{1}: \mu \geq 100$. Explain what the director of Institutional Research is testing. Perform the test at the $\alpha=0.05$ level of significance. Write a conclusion for the test. (b) Consider the hypotheses $H_{0}: \mu=101$ versus $H_{1}: \mu>101$ Explain what the director of Institutional Research is testing. Perform the test at the $\alpha=0.05$ level of significance. Write a conclusion for the test. (c) Consider the hypotheses $H_{0}: \mu=102$ versus $H_{1}: \mu>102$. Explain what the director of Institutional Research is testing. Perform the test at the $\alpha=0.05$ level of significance. Write a conclusion for the test. (d) Based on the results of parts (a)-(c), write a few sentences that explain the difference between "accepting" the statement in the null hypothesis versus "not rejecting" the statement in the null hypothesis.
Hypothesis Tests Regarding a Parameter
Hypothesis Tests for a Population Mean
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