In a randomly selected sample we detect a small but positive correlation between individuals’ earnings and height, followed by a gently upward slope. Can we conclude that those who earn more tend to be a bit taller than those who earn less? Explain.
In a randomly selected sample we detect a small but positive correlation between individuals’ earnings and...
A randomly selected sample of 32 individuals reported that their smartphone stopped working after an average of 4.2 years. Assume that we know the population standard deviation of smartphone life expectancy is 1.2 years. Test the claim that the average smartphone life expectancy is less than 4.7 years (the average based on past studies). Use a 0.01 significance level. 1) State the Null Hypothesis, Alternate Hypothesis, type of test & level of significance (2 pts) 2) Check the conditions. (2 pts)...
William used a sample of 68 large U.S. cities to estimate the relationship between Crime (annual property crimes per 100,000 persons) and Income (median annual income per capita, in dollars). His estimated regression equation was Crime = 428 + 0.050 Income. We can conclude that: A: crime seems to create additional income in a city B: the slope is small so Income has no effect on Crime C: wealthy individuals tend to commit more crimes, on average D: by itself...
Imagine that you regressed the earnings of individuals on a constant, a binary variable (“Male”) which takes on the value of 1 for males and is 0 otherwise, and another binary variable (“Female”) which takes on the value of 1 for female and is 0 otherwise. Because females typically earn less than males, you would expect: Group of answer choices autocorrelation or serial correlation to be a serious problem. the estimated coefficient for Male to have a positive sign, and...
I. The correlation between the foot lengths of fathers and their (adult) sons, measured in inches, is r tells us that 0.92. This A. fathers with small feet tend to have sons with small feet. B. fathers with small feet tend to have sons with large feet. C. sons have, on the average, feet that are 0.92 times the length of their father's. D. 92 percent of all sons have feet that are bigger than their father's. E. there is...
A study was conducted on the effects of divorce. Researchers gathered data from a random sample of 5,125 adults and measured quite a few variables, in addition to the explanatory variable of divorce and the response variable of shorter life span. According to a newspaper article summarizing the study, those who divorced were more likely to be less physically active, at an unhealthy weight, and smokers. Those who were married were about 15% more likely to be deceased. What conclusion...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean H 141 days and standard deviation a (a) What is the probability that a randomly selected pregnancy lasts less than 137 days? The probability that a randomly selected pregnancy lasts less than 137 days is approximately (Round to four decimal places as needed) Interpret this probability. Select the correct choice below and fill in the answer box within your choice (Round to the nearest...
Exercise 13-17 A recent article in BusinessWeek listed the “Best Small Companies.” We are interested in the current results of the companies' sales and earnings. A random sample of 12 companies was selected and the sales and earnings, in millions of dollars, are reported below. Company Sales ($ millions) Earnings ($ millions) Company Sales ($ millions) Earnings ($ millions) Papa John's International $ 86.9 $ 4.7 Checkmate Electronics $ 17.0 $ 4.6 Applied Innovation 19.8 4.4 Royal Grip 12.7 1.7...
Section 2: Identity the error Each of the following statements have a significant error in statistical logic. Explain the error and correct the statement. (3 points each) A) As the number of individuals in a sample from a population increases, the standard deviation of the sample decreases. B) A likelihood-based estimate of a parameter is always less accurate than a Bayesian estimate that uses the same likelihood function. C) To achieve a global significance level of 0.05 (no more than...
What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 12 0 3 14 14 9 0 13 10 Score 95 60 73 85 86 89 65 97 93 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0: ? μ ρ r == 0 H1:H1: ? ρ μ r ≠≠ 0 The p-value is: (Round...