Question 6C0/4 pts O4 2The Wechsler Adult Intelligence Scale (IQ test) is constructed so that Full Scale IQ scores follow a normaldistribution, with a mean of 100, and a standard deviation of 15. The mayor of Smart Town believes thecounty's residents are smarter than the national average and wants to use it (the intelligence of theresidents) as a marketing tool to bring industries to the area.A researcher is hired to conduct a study to determine whether Smart County's residents have, on average,higher Full Scale IQs than the population. A random sample of 100 people from Smart County were giventhe IQ test and were found to have an average Full Scale IQ of 105.a. Which hypothesis test should be used to determine whether the mean Full Scale IQ score of theSmart County residents is higher than the national average?Oz-test for the population meanOt-test for the population meanOz-test for the population proportionOt-test for the population proportionb. What are the null and alternative hypotheses?Ο Ηρ: μ- 105; Ha: μ- 105O Họ: H = 105; Ha: > 105O Họ: p = 105; Ha: p = 100O Họ: µ = 100; Ha: > 100c. What is the value of the test statistic used to determine whether the mean Full Scale 10 score of theSmart County residents is higher than the national average?0.333O-.333O 3.33O-3.33d. After analyzing the data to determine whether the mean Full Scale IQ score of the Smart Countyresidents is higher than the national average, the P-value of .0004 was obtained. Use a = 0.05.O Do not reject the null hypothesis. The average Full Scale IQ of Smart County residents is nothigher than the population average.O Do not reject the null hypothesis. The average Full Scale IQ of Smart County residents is higherthan the population average.O Reject the null hypothesis. The average Full Scale IQ of Smart County residents is not higherthan the population average.O Reject the null hypothesis. The average Full Scale IQ of Smart County residents is higher thanthe population average.Question Help: O Message instructor D Post to forumSubmit QuestionJump to Answer

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The Wechsler Adult Intelligence Scale (IQ test) is constructed so that Full Scale IQ scores follow a normal distribution, with a mean of 100, and a standard deviation of 15. The mayor of Smart Town believes the county's residents are smarter than the national average and wants to use it (the intelligence of the residents) as a marketing tool to bring industries to the area. A researcher is hired to conduct a study to determine whether Smart County's residents have, on average, higher Full Scale IQs than the population. A random sample of 100 people from Smart County were given the IQ test and were found to have an average Full Scale IQ of 105. a. Which hypothesis test should be used to determine whether the mean Full Scale IQ score of the Smart County residents is higher than the national average? Oz-test for the population mean Ot-test for the population mean Oz-test for the population proportion O-test for the population proportion b. What are the null and alternative hypotheses? Ho: µ = 105; Ha: H- 105 O Họ: H - 105; Ha: > 105 Họ: µ = 105; Ha: µ - 100 O Ho: H - 100; Ha: > 100 c. What is the value of the test statistic used to determine whether the mean Full Scale IQ score of the Smart County residents is higher than the national average? 0.333 O.333 O 3.33 O-3.33 d. After analyzing the data to determine whether the mean Full Scale IQ score of the Smart County residents is higher than the national average, the P-value of .0004 was obtained. Use a = 0.05. O Do not reject the null hypothesis. The average Full Scale IQ of Smart County residents is not higher than the population average. O Do not reject the null hypothesis. The average Full Scale IQ of Smart County residents is higher than the population average. O Reject the null hypothesis. The average Full Scale IQ of Smart County residents is not higher than the population average. O Reject the null hypothesis. The average Full Scale IQ of Smart County residents is higher than the population average.