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 F Oz test for the population mean Ot test for the population mean Oz test for the population proportion Ot test for the population proportion b What are the null and alternative hypotheses O Ho 105 Ha 105 Ho H 105 Ha 105 O Ho p 105 Ha 100 O Ho 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 03 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