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Consider the following data for two independent random samples taken from two normal populations.
Sample 1 10 7 13 7 9 8
Sample 2 8 7 8 4 6 9
a. Compute the two sample means.
b. Compute the two sample standard deviations.
c. What is the point estimate of the difference between the two population means?
d. What is the 90% confidence interval estimate of the difference between the two population means?
Suppose that a model for the joint distribution of these rvs is a bivariate normal distribution.
At the .05 significance level, can she conclude that there is a difference in the mean amount of weight loss among the three diets?
Add line-of-best fit (trend line/linear regression line) to your scatterplot. Write down the equation of the trend line below.
Using the sample information given in the above exercise, the p value for testing Ho versus Ha can be calculated to be 0.0057
Explain probability distribution of X (name and parameters).
It is believed that students who begin studying for final exams a week before the test score differently than students who wait until the night before. Suppose you want to test specifically that students who study earlier have an average score tha..
Comparing the experimental and theoretical probabilities, can you say the die used in this experiment is a fair die? Why or why not?
Utilizing the .05 level, do the results support the psychologists' theory. A psychologist theorized where people can hear better when they have just eaten a large meal.
Determine what analysis would you do on each problem (i.e., one-sample z-test, one-sample t-test, proportion test, two-sample independent t-test, or paired test)?
A researcher selects a random example of college students and measures number of hours they spend watching television per week and their grade point average.
To findout 95 percent with confidence interval for the mean amount a citation. Police Chief Aaron Ard of River City reports 500 traffic citations were issued last month.
Variance of 4.2 and mean of 23.2 were calculated. Find out 95% confidence interval on mean and standard deviation. Describe any potential problems with this analysis.
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