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A researcher predicts that listening to music while solving math problems will make a particular brain area more active, to test this, a research participant has her brain area scanned while listening to music and solving math problems, and the brain area of interest has a percent signal change of 58. From many previous studies with this same math- problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with a mean of 35 and a standard deviation of 10. 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 (or cutoffs), and the score of the sample on this distributing. Then explain your answer to someone who has never had course in statistics (but who is familiar with mean, standard deviation, and Z scores.)
Determine a 95% confidence interval for the population mean.
Explain your answer to someone who is familiar with the T test for a single sample, but not with the T test independent means.
What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
A researcher was interested in determining whether incentives affect the response rate in surveys. A simple random sample of 50 adult residents of a large city was selected. All were mailed a survey and promised a check upon returning a completed ..
The Minneapolis Tribune ran an article on gender differences in shopping behavior. When 400 women were asked to respond to the question "Where I shop is influenced by which store has a greater variety," 60% answered "Yes.
What is the probability that more than one machine is in the system? Probability that more than two are broken and waiting to be repaired or being serviced? More than three? More than four?
What is the probability that a cereal would be high calorie, given that it is high fiber? In other words, what is P (high calorie, given high fiber)?
The ages of cars owned by all employees of a large company have a bell shaped distribution with a mean of 8 years and a standard deviation of 2 years. Using the empirical rule, find the approx. percentage of cars (owned by those employees) that are b..
What is the probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean, $168,000 (to 4 decimals)?
Can we conclude that mean time for game is less than 3.50 hours? Use.05 significance level.
A statistics instructor wants to know which route will get her to school the fastest. Each day from October 2 to November 15, when she gets to the turn point she checks the odometer on her car
In this paragraph, be sure to make it clear how you handled the issue of conducting three planned comparisons. Also provide the ANOVA summary table for these results.
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