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SAT and ACT Tests- Scores by women on the SAT-I test are normally distributed with a mean of 998 and a standard deviation of 202. Scores by women on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 4.6. Assume that the two tests use different scales to measure the same aptitude.
A. If a woman gets a SAT score that is the 67th percentile, find her actual SAT score and her equivalent ACT score.
B. If a woman gets a SAT score of 1220, find her equivalent ACT score.
The trial failed to show significance. How many subjects would be required to detect the difference in proportions observed in the trial with 80% power?
Compare value of test statistics F obtained in part(2) with value of t 2 , square of test statistic for testing H 0 : β 1 =0 that was needed in test null hypothesis that true slope is 0. Interpret the results of this test.
A sample of 25 provided a sample mean of 14 and a sample standard deviation of 4.32. What is the value of "t" for this sample? For a 95% confidence level, what is the critical value of "t"?
Valley Fruit Products Company has contracted with apple growers in Ohio, Pennsylvania, and New York to purchase apples that the company then ships to its plants in Indiana and Georgia
Is there evidence to suggest a difference in the mean waiting times at the four body shops? Use the .05 significance level.
Give the 90% confidence interval for the mean score in the population of all young women.
A single test on a certain device costs more than the entire lot. It is therefore decreed that not more than three tests will be performed per lot.
A professor of math refutes the claim that the average student spends 3 hours studying for the midterm exam. Which hypothesis is used to test the claim?
Test the manager's suspicion at the 5% level of significance. Find the P-value or an interval containing the P-value for the sample test statistic.
A random sample of size 70 is drawn from population. Determine probability that mean annual salary is between $32,000 and $32,500?
Poisson distribution with a mean of 8.8 tickets per day. Find the probability that less than six tickets are written in one hour given that the police works for 12 hours.
In 1965, a newspaper carried a story about a high school student who reported getting 9207 heads and 8743 tails in 17,950 coin tosses. Is this a significant discrepancy from the null hypothesis H 0 = 1/2.
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