er claims that she has developed a review course that increases the scores of students on...

er claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with mu equalsμ=517517. The teacher obtains a random sample of 20002000 students, puts them through the review class, and finds that the mean math score of the 20002000 students is 523523 with a standard deviation of 110110. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let muμ be the mean score. Choose the correct answer below. A. Upper H 0 : mu less than 517H0: μ<517, Upper H 1 : mu greater than 517H1: μ>517 B. Upper H 0 : mu equals 517H0: μ=517, Upper H 1 : mu greater than 517H1: μ>517 Your answer is correct.C. Upper H 0 : mu greater than 517H0: μ>517, Upper H 1 : mu not equals 517H1: μ≠517 D. Upper H 0 : mu equals 517H0: μ=517, Upper H 1 : mu not equals 517H1: μ≠517 (b) Test the hypothesis at the alpha equalsα=0.100.10 level of significance. Is a mean math score of 523523 statistically significantly higher than 517517? Conduct a hypothesis test using the P-value approach. Find the test statistic. t 0t0equals=2.442.44 (Round to two decimal places as needed.) Find the P-value. The P-value is . 006.006. (Round to three decimal places as needed.) Is the sample mean statistically significantly higher? NoNo Your answer is not correct. YesYes This is the correct answer. (c) Do you think that a mean math score of 523523 versus 517517 will affect the decision of a school admissions administrator? In other words, does the increase in the score have any practical significance? Yes, because every increase in score is practically significant. No, because the score became only 1.161.16% greater. Your answer is correct. (d) Test the hypothesis at the alphaαequals=0.10 level of significance with nequals=350350 students. Assume that the sample mean is still 523523 and the sample standard deviation is still 110110. Is a sample mean of 523523 significantly more than 517517? Conduct a hypothesis test using the P-value approach. Find the test statistic. t 0t0equals=nothing (Round to two decimal places as needed.)

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n = 350

orchestra answered 1 year ago

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