The 676,947 females who took Verbal SAT tests in the year 2000 scored an average of 504, with standard deviation 110.
a. Should the numbers 504 and 110 be denotedp and p, x and s, or µ and a?
b. The probability is 0.95 that sample mean Verbal SAT score for a random sample of 121 females falls within what interval?
c. Explain why it would not be appropriate to use this information to set up a confidence interval for population mean female Verbal SAT score in the year 2000.
d. Suppose that instead of information on all scores, we only know about a random sample of females' Verbal SAT scores. Tell which of these intervals would be the narrowest.
1. 95% confidence interval for population mean score, based on a sample of size 60
2. 90% confidence interval for population mean score, based on a sample of size 60
3. 95% confidence interval for population mean score, based on a sample of size 600
4. 90% confidence interval for population mean score, based on a sample of size 600
e. Which of the intervals would be the widest?