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Suppose the mean IQ score of people in a certain country is 102. Suppose the...

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Suppose the mean IQ score of people in a certain country is 102. Suppose the director of a college obtains a simple random sample of 43 students from that countryand finds the mean IQ is 105.6 with a standard deviation of 13.1. Complete parts (a) through (d) below. conclusion for the test.Explain what the director is testing. Choose the correct answer below.A.The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 103.B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 103.C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 103.D.The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 103.Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)Find the P-value for this hypothesis test.(Round to three decimal places as needed.)

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