Reference no: EM133411723
Instructions: The SPSS output presented below in Table 4.1 was generated from the 2021 General Social Survey (representative of the noninstitutionalized adult (18+) population in the United States). It contains summary statistics for the variable AGEKDBRN ("respondent's age in years at the birth of their first child") by the variable sex ("respondent's gender). For questions 1-3, use the mean and standard deviation for male respondents. Question 4 does not use the SPSS output. Answer the questions in complete sentences in a separate document (with question numbers but not the questions).
What is the Z score for male respondents who had their first child at age 30? (Round at each calculation to the second decimal place.)
What does the value of the Z score, itself, tell us about where male respondents who had their first child at age 30 fall in relation to the average male?
Assume the distribution of AGEKDBRN among males is approximately normally distributed and use the Z score calculated in #2 and refer to Appendix B "The Standard Normal Table" to determine the percentage of males expected to have their first child under age 30.
[This problem does not use the SPSS output presented in Table 4.1 above.] To be accepted into MENSA, the high IQ society, you must score in the top 2% of a recognized IQ test, such as the Stanford-Binet. If the mean score on the Stanford-Binet is 100 and the standard deviation is 16, which of the following three IQ scores on the test would qualify for acceptance into MENSA: 117, 127, and 137? Explain, showing your work. (Round at each stage of any calculation to the second decimal place.)