**Educational Content on Hypothesis Testing**In an effort to attract top students, a college administrator claims that the current entering class has a higher mean IQ score compared to previous years. A sample of 21 students from this year's class shows a mean IQ score of 118, with a standard deviation of 13. Historically, the mean IQ score for entering students was 113.The question posed is whether there is enough evidence to conclude, at a 0.10 level of significance, that this year's class has a higher mean IQ score than previous classes. Assume the IQ scores are normally distributed for this test.### Steps to Conduct the One-Tailed Hypothesis Test**(a) State the Hypotheses:**- **Null Hypothesis (H₀):** The population mean IQ score, μ, of this year's class is less than or equal to the previous years, i.e., μ ≤ 113. - **Alternative Hypothesis (H₁):** The population mean IQ score, μ, of this year's class is greater than that of previous years, i.e., μ > 113.**(b) Determine the Type of Test Statistic:**Choose the appropriate statistical test based on sample size and known parameters. In this case, use a t-test for a single sample since the population standard deviation is unknown.**(c) Calculate the Test Statistic:**Use the formula for the t-statistic:\[ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} \]Where:- $\bar{x} = 118$ (sample mean)- $\mu = 113$ (population mean under H₀)- $s = 13$ (sample standard deviation)- $n = 21$ (sample size)**(d) Find the Critical Value:**Determine the critical t-value from the t-distribution table based on the 0.10 level of significance (right-tailed) and the degrees of freedom ($n-1 = 20$).**(e) Conclusion:**Based on the calculated t-statistic and the critical value, decide whether to reject the null hypothesis. If the t-statistic is greater than the critical value, conclude that the mean IQ score of this year's class is significantly greater than that of previous years.Understanding these steps aids in making informed decisions based on statistical analysis in educational settings.

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question andmention the sub-parts to be solved.From the information, given thatThe claim is to test whether the population mean IQ score of this year's class is greater than that of previous years or not(a)Null hypothesis: That is, there is no evidence to conclude that the population mean IQ score of this year's class is greater than that of previous years.Alternative hypothesis: That is, there is evidence to conclude that the population mean IQ score of this year's class is greater than that of previous years.(b)The type of test statistic used is determined below:Since, the value of the population standard deviation is unknown, the type of test statistic used is clearly t-distribution.Thus, the type of test statistic used is "t".(c)The value of the test statistic is obtained as follows: The required value is,Thus, the value of the test statistic is 1.763.(a)(b)Thus, the type of test statistic used is "t".(c)Thus, the value of the test statistic is 1.763.