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A new weight-watching company, Weight Reducers International, advertises that those who join will lose, on the average, 10 pounds the first two weeks with a standard deviation of 2.8 pounds. A random sample of 50 people who joined the new weight reduction program revealed the mean loss to be 9 pounds. At the .05 level of significance, can we conclude that those joining Weight Reducers on average will lose less than 10 pounds? Determine the p-value.
A normal distribution with a mean of 68 years and a standard deviation of 3.5 years. What proportion of the plan recipients would receive payments beyond age 75?
A marketing research analyst collects data for a random sample of 100 customers out of the 400 who purchased a particular "coupon special".
Find the mean and the standard deviation of the sampling distribution of x, and find an interval containing 95.44 percent of all possible sample mean returns.
A health researcher is interested in determining whether or not the speed at which people walk is related to their cholesterol levels. He picks 100 adult volunteers at random, checks their cholesterol levels, and then times each one while they wal..
A population whose shape is unknown has a median of 75. You selected a sample of 40. The standard deviation of the median is 5. Calculate the probability that the median of the sample or average medians is:
You are running a chi-squared test. You have 2 groups with 3 characteristics each, what would your critical value be with an alpha of .025?
Perform the chisquare test for a uniform distribution. At α = .05, does this sample contradict the assumption that sales are the same for each beverage?
Research results suggest that IQ scores for boys are more variable than IQ scores for girls (Arden & Plomin, 2006). A typical study looking at 10-year-old children classifies participants by gender and by low, average, or high IQ.
Using the .01 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution.
The mean salary of the nine employees of a small business is $52,000 per year. One employee, whose salary was $68,000, was red. Two new employees, who will each be paid a salary of $40,000, are hired. What is the new mean annual salary of the emp..
State the research question and statistical null and alternative hypotheses; and Explain why this test is appropriate and why the correlation, t-test, regression, or ANOVA is not appropriate.
The random variables, X and Y, have a probability density function given by: By transformation of variables, find the probability density function of Z=X+Y.
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