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Question: Music and memory Does listening to music while studying hinder students' learning? Two AP® Statistics students designed an experiment to find out. They selected a random sample of 30 students from their medium-sized high school to participate. Each subject was given 10 minutes to memorize two different lists of 20 words, once while listening to music and once in silence. The order of the two word lists was determined at random; so was the order of the treatments. The difference in the number of words recalled (music - silence) was recorded for each subject. A paired t test on the differences yielded t = -3.01 and P-value = 0.0027.
(a) State appropriate hypotheses for the paired t test. Be sure to define your parameter.
(b) What are the degrees of freedom for the paired t test?
(c) Interpret the P-value in context. What conclusion should the students draw?
(d) Describe a Type I error and a Type II error in this setting. Which mistake could students have made based on your answer to part (c)?
A simple random sample of members is selected to participate in the annual fund-raising drive. What is the probability that the average income of the fund-raising group will be at least $60,000?
Delivery service. A company must decide which of two delivery services it will contract with. During a recent trial period, the company shipped numerous.
Run a regression analysis of the data and determine whether there is a linear relationship between inflation and total return on stocks for the periods under study.
The researcher in exercise decides to conduct the same study using a within - participates design to control for differences in cognitive ability.
an academic advisor calculated the mean gpa for college freshmen to be 2.33 with a standard deviation of 1.06. the
Suppose that 20% of the homes in a neighborhood has a swimming pool in their backyards and 50% has a garage. 15% of homes have both a garage and a swimming pool.
If the salaries are normally distributed with a standard deviation of $5,000, find the probability that An individual graduate will have a salary over $45,000.
For this problem state the menthod you used and show the work required to obtain the answer. Find the complete solution to each of the equation problem:
Fitting of simple linear equation - Prepare an equation showing how daily sales are related to number of customers per day.
(a) What is the probability of drawing a red chip from the bag? (b) Given that the chip that is drawn from the bag at the end is red, what is the conditional probability that the chip drawn from the box was white?
Coin tosses. In a large class of introductory Statistics students, the professor has each person toss a coin 16 times and calculate the proportion of his.
Assume that these two numbers are the averages of samples of 15 months each, and that both sample standard deviations are 50. Conduct a test for equality of means using the 0.05 level of significance.
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