# Statistics

posted by .

The Education Testing Service conducted a study to investigate differences between the scores of males and females on the SAT. The study identified a random sample of 562 females and 852 males that had achieved the same high score on the math portion of the test. That is, both females and males were viewed as having similar high abilities in Math. The SAT verbal scores for the two samples are:
Females Males
X1 = 547 X2 = 525
S1 = 83 S2 = 78

Do the data support the conclusion that give a population of females and a population of males with similar high mathematical abilities, the females will have a significantly higher verbal ability? Test at a 0.02 level of significance. What is your conclusion?

• Statistics -

Z = (mean1 - mean2)/standard error (SE) of difference between means

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√n

If only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to your Z score.

## Similar Questions

1. ### statistics

A researcher has observed independent samples of females and males, recording how long each person took to complete his or her shopping at a local mall. The respective times, in minutes, are listed in file. Using the 0.025 level of …
2. ### statistics

A researcher has observed independent samples of females and males, recording how long each person took to complete his or her shopping at a local mall. The respective times, in minutes, are listed in file. Using the 0.025 level of …
3. ### statistics

A certain geneticist is interested in the proportion of males and females in the population that have a certain minor blood disorder. In a random sample of 1500 males, 75 are found to have disorder, whereas 80 of 2000 females appear …
4. ### statistics

In an extensive study involving thousands of British children, Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the results …
5. ### statistics

Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females. To further investigate this phenomenon, suppose a researcher selects a random …
6. ### Statistics

In a recent study, 100 males used a new weight-loss supplement, and all but 20 of them experienced weight loss after two weeks. In the same study, 20 females used the same supplement, and all but 4 of them experienced weight loss after …
7. ### ethics

According to Kohlberg, the ability to think of ethical situations in the abstract is best evidenced by which of the following: a. Males are best suited to this. b. Males and females with higher education are best suited to this. c. …
8. ### ethics

According to Kohlberg, the ability to think of ethical situations in the abstract is best evidenced by which of the following: a. Males are best suited to this. b. Males and females with higher education are best suited to this. c. …
9. ### math

A room contains 80 sophomores of which 39 are males and 41 are females. There are also 69 juniors of which 36 are males and 33 are females. You pick 3 students at random. What is the probability that all 3 are males?
10. ### stat

In an extensive study involving thousands of British children, Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the results …

More Similar Questions