Use the normal distribution of SAT critical reading scores for which the mean is 501 and the standard deviation is 115. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? Click to view page 1 of the standard normal table. Click to view page 2 of the standard normal table. ) Approximately 19.50% of the SAT verbal scores are less than 550. Round to two decimal places as needed.) You would expect that approximately 209 SAT verbal scores would be greater than 525. (Round to the nearest whole number as needed.)

The average age of class is 22.3 years. The standard deviation is 4.7 years. If the variable is normally distributed, find the age that corresponds to the 94th percentile. SHOW WORK HOW YOU GOT THAT

Use z scores to compare the given values.   In a recent awards​ ceremony, the age of the winner for best actor was 34 and the age of the winner for best actress was 43. For all best​ actors, the mean age is 42.5 years and the standard deviation is 6.2 years. For all best​ actresses, the mean age is 31.9 years and the standard deviation is 11.2 years.​ (All ages are determined at the time of the awards​ ceremony.) Relative to their​ genders, who had the more extreme age when winning the​ award, the actor or the​ actress? Explain.       Question content area bottom Part 1 Since the z score for the actor is z=enter your response here and the z score for the actress is z=enter your response here​, the ▼   actress actor had the more extreme age. ​(Round to two decimal​ places.)

Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 33 and the age of the winner for best actress was 47. For all best actors, the mean age is 44.4 years and the standard deviation is 6.5 years. For all best actresses, the mean age is 32.8 years and the standard deviation is 11.2 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z= and the z score for the actress is z = the V had the more extreme age. (Round to two decimal places.)