Question
If numerous samples of N = 15 are taken from a uniform distribution and a relative frequency distribution of the means is drawn, what would
If numerous samples of N = 15 are taken from a uniform distribution and a
relative frequency distribution of the means is drawn, what would be the shape of
the frequency distribution?
8. A normal distribution has a mean of 20 and a standard deviation of 10. Two
scores are sampled randomly from the distribution and the second score is
subtracted from the first. What is the probability that the difference score will be
greater than 5? Hint: Read the Variance Sum Law section of Chapter 3.
9. What is the shape of the sampling distribution of r? In what way does the shape
depend on the size of the population correlation?
10. If you sample one number from a standard normal distribution, what is the
probability it will be 0.5?
11. A variable is normally distributed with a mean of 120 and a standard deviation
of 5. Four scores are randomly sampled. What is the probability that the mean
of the four scores is above 127?
12. The correlation between self-esteem and extraversion is .30. A sample of 84 is
taken. a. What is the probability that the correlation will be less than 0.10? b.
What is the probability that the correlation will be greater than 0.25?
13. The mean GPA for students in School A is 3.0; the mean GPA for students in
School B is 2.8. The standard deviation in both schools is 0.25. The GPAs of
both schools are normally distributed. If 9 students are randomly sampled from
each school, what is the probability that:
a. the sample mean for School A will exceed that of School B by 0.5 or more?
b. the sample mean for School B will be greater than the sample mean for
School A?
14. In a city, 70% of the people prefer Candidate A. Suppose 30 people from this
city were sampled.
a. What is the mean of the sampling distribution of p?
b. What is the standard error of p?
8. You know the minimum, the maximum, and the 25th, 50th, and 75th percentiles
of a distribution. Which of the following measures of central tendency or
variability can you determine?
mean, median, mode, trimean, geometric mean, range, interquartile range,
variance, standard deviation
9. For the numbers 1, 3, 4, 6, and 12:
Find the value (v) for which ?(X-v)2 is minimized.
Find the value (v) for which ?|x-v| is minimized.
10. Your younger brother comes home one day after taking a science test. He says
that some- one at school told him that "60% of the students in the class scored
above the median test grade." What is wrong with this statement? What if he had
said "60% of the students scored below the mean?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started