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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.)
A game involving a pair of dice pays you 3 with probability 17/36, costs you 2 with probability 14/36, and costs you 4 with probability 5/36. What is your probability of losing money in one play of the game?
Find a 90% confidence interval for the difference between the proportion of men and the proportion of women who approved of Reagan's performance. What assumption do you make to use this method?
Investigate the cost of a home mortgage and to determine the monthly payment.
Given the following data on hotel check-ins for a 6-month period:
The Wilcoxon signed rank test is computed for the data and gives a value W + = 161.5. Using the Normal approximation (without the continuity correction) the P-value.
Each egg was also measured for volume using a water displacement method. We wanted to know if the two methods agreed or not
The 95% prediction interval for a new patient with a 2-day cholesterol level of 220 is
Which of the following models satisfies the rules of probability and The event corresponding to the above system functioning properly during one period of operation is
You play a game with two possible outcomes. Outcome A has probability 0.4 and outcome B has probability 0.6. When B occurs you win $2.00; otherwise, you lose $1.00. What is your expected value for this game?
Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?
The weight of the oranges, in pounds (1 pound = 16 ounces) is a random variable with standard deviation
A major benefit of two-way ANOVA over several one-way ANOVAs, If an F test for interaction is significant.
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