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Lesson #14 Assignment1. For the following set of data, _____________X____Y__1 02 24 65 83 4__________a. Sketch a graph showing the location of the five X, Y points.b. Just looking at your graph, estimate the value of the Pearson correlation.c. Compute the Pearson correlation for this data set.2. It is well known that similarity in attitudes, beliefs, and interests plays an important rolein interpersonal attraction (see Byrne, 1971, for example). Thus, correlations for attitudesbetween married couples should be strong. Suppose a researcher developed a questionnairethat measures how liberal or conservative one's attitudes are. Low scores indicate that theperson has liberal attitudes, whereas high scores indicate conservatism. The followinghypothetical data are scores for married couples.________________________________Couple____Wife___Husband____A 11 14B 6 7C 18 15D 4 7E 1 3F 10 9G 5 9H 3 3______________________________Compute the Pearson correlation for these data, and determine whether or not there is a significant correlation between attitudes for husbands and wives. Set alpha at .05, two tails.3. Assuming a two-tailed test with α = .05, how large a correlation is needed to be statisticallysignificant for each of the following samples?a. A sample of n = 15 individualsb. A sample of n = 30 individualsc. A sample of n = 92 individuals4. A psychologist would like to determine whether there is any consistent relationshipbetween intelligence and creativity. A random sample of n = 18 people is obtained and thepsychologist administers a standardized IQ test and creativity test to each individual. Usingthese data, the psychologist obtains a Pearson correlation of r = +0.20 between IQ andcreativity. a. Do the sample data provide sufficient evidence to conclude that a real (nonzero) correlation exists in the population? Test at the .05 level of significance.b. If the same correlation, r = 0.20, was obtained for a sample of n = 102 people, whatdecision would be made about the population correlation?5. For the following set of data,_____________X____Y__1 24 73 52 1 5 143 7__________a. Compute the Pearson correlation.b. Find the linear regression equation for predicting Y from X.c. Use the regression equation to compute the predicted Y for each value of X.
Assume the earnings from this investment project is a normal distribution. What is the probability that you will lose money or earn nothing from this project.
Using the 7 steps in significance testing, determine whether there is a statistically significant difference between U.S. Air and the national average such that U.S. Air has longer flight delays. Show all 7 steps.
Standard deviation = 30 (Source: U.S. National Center for Health Statistics). Levels above 200 warrant attention. Find the probability that a teenage boy has a cholesterol level greater than 200.
A report on the U.S. economy indicates that 28% of Americans have experienced difficulty in making mortgage payments. A news organization randomly sampled 400 Americans from 10 cities named the "fastest dying cities in the U.S."
If we want to estimate the selling price on the basis of age, which variable is the dependent and which is the independent? Draw a scatter diagram.
State the null hypothesis and the alternate hypothesis. State the significance level. State the decision rule. Give the formula for the test statistic.
Compare the percentage found in b) to percentage given by Empirical Rule and Chebyshev's Rule. (Make a table 3 x 3).
Use this information to construct a probability table, and then calculate each of the following probabilities:
Tom works the night shift at a gas station on the edge of Champaign. One night he mixed 3 stale doughnuts in with 13 fresh doughnuts. That night 6 customers bought one doughnut each, selecting them at random. What is the probability that at least ..
Select an industry with which you are familiar. Predict how future technology will inform, support, and potentially hinder productivity, culture, and work satisfaction within an organization in the industry.
The standard for this material requires that impact strength must be greater than 1.0ft-lb/in. The sample average and standard deviation obtained were 1.25 and 0.25 respectively.
Using the given data set, find (a) the sample mean, (b) the sample standard deviation, (c) construct a 98% confidence interval for the population mean μ.
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