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Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to no sound at all. She randomly divides sixteen students into two groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with no sound at all. After studying, all students take a 10 point multiple choice test over the material. Assuming equal population variance, do the data provide sufficient evidence to indicate that the mean scores differ between two groups with a 0.1 significance level? Their scores follow. For the constant sound group: 1, 10, 1, 10, 1, 9, 7, 3. And for the no sound group: 4, 3, 6, 4, 5, 8, 4, 9. A. Assume that the standard deviations are equal and find the test statistic for the test that the between mu1 and mu2 is zero.
If a woman gets a SAT score that is the 67th percentile, find her actual SAT score and her equivalent ACT score. If a woman gets a SAT score of 1220, find her equivalent ACT score.
Would you conclude that your data set is approximately normal? If so, what percentage of your data values lie:
First, describe in your own words (no direct quotes, please) what a dummy variable is and its purpose in regression analysis. Secondly, provide an example of where you might use a dummy variable from your own professional experience.
At the .01 significance level, is there a difference in the use of the four entrances?
A student team in a business statistics course performed a factorial experiment to investigate the time required for pain-relief tablets to dissolver in a glass of water.
Let N be number of heads obtained on the ten flips. Determine: If you win $1 each time a head appears and you lose $1 each time a tail appears, is this fair game? Describe.
What is the p-value associated with the sample results? What is your conclusion based on the p- value?
Survey on marital status to determine whether the data is qualitative or quantitative
Cars arrive at a toll booth at a mean rate of five cars every 10 minutes according to a Poisson process. Find the probability that the toll collector will have to wait longer than 26.30 minutes before collecting the eighth toll.
For all questions, clearly explain/show your answers. For the Analysis section, justify your answers with the appropriate graphs, statistics, equations, etc.
What is the distinction between a one-sided and a two-sided hypothesis test in this problem?
The probability of Toyota building a new production plant is 70% and the probability of GM building a new one is 50%. The following are the probabilities associated with the countries Toyota would build a new plant:
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