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The null and alternate hypotheses are:
H0: u1 equal 2
H1: u1 not equal to 2
A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. At the .10 significance level, is there a difference in the population means?
Note: Use the five-step hypothesis testing procedure for the following exercises.
What type of shape would you expect the histogram of the sample size to have? What value would you estimate for the mean of the histogram of sample means?
Food intake and weight gain. If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories.
Misery loves company. It is time for the PE (professional engineer's exam). The results of the national test were normally distributed around the mean score of 70.
Studies have shown that humans complete a 1 mile run in an average of 12.2 minutes. There is a separate group of 30 who complete a 1 mile run with an average of 8.67 minutes with a standard deviation of 0.33 minutes.
Use this sample information to develop a 99% confidence interval for the population proportion of women who wear flats to work.
Find the probability that he will answer at least 3 questions correctly.
find probabilty that the average of those counts is more than 83.0 mosquitoes per square meter. Assume the variable is normally distributed.
The Confused Bricklayer Robot Problem - Draw a picture to illustrate the initial problem situation and how can you describe a possible solution?
As it is a 2 × 2 table, try also two-tailed two-sample z test for π 1 = π 2 and verify that z 2 is same as your chi-square statistic. Which test do you prefer? Explain why?
In a large western university, 15% of the students are graduate students. If a random sample of 20 students is selected, what is the probability that the sample contains:
A University Counseling Clinic is interested in predicting the levels of depression from the number of social events attended per week by a sample of their clients. The data are below:
Construct a binomial distribution chart and table showing all of the outcomes if a woman would like to know all possible outcomes of having 3 children. Also show this using a probability tree diagram.
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