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An old saying in golf is "you drive for show and you putt for dough." The point is that good putting is more important than long driving for shooting low scores and hence winning money. To explore the relation between winning, putting, and driving distance, data on the top 69 money winners on the PGA tour in 1993 are used. The average number of putts per hole for each player and their average driving distance is used to predict their total winnings using the multiple regression model
where the deviations εI are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
The F test of the hypotheses H0: β1 = β2 = 0 and Ha: at least one of the βI is not 0 is found to have a P-value less than 0.001. We may conclude
A. both average number of putts per hole and average driving distance are linearly related to 1993 winnings.B. either average number of putts per hole or average driving distance, but not both, are linearly related to 1993 winnings. Unfortunately, we cannot say which is having the effect.C. either average number of putts per hole or average driving distance (or both) are linearly related to 1993 winnings.
A sample of 45 students enrolled in the university indicates that X (bar) = $285.4 and s = $42.20. Using the 0.05 level of significance, is there evidence that the population mean is above $300?
A researcher wishes to test the claim that the average age of lifeguards in Ocean City is greater than 24 years. She selects a sample of 36 guards and finds the mean of the sample to be 24.7 years with a standard deviation of 2 years. Is there evi..
The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. Each year, the survey contains several questions meant to probe respondents' views of employment.
Test at the 5% level of significance whether the true mean time it takes for luggage to reach the travelers is less than 17 minutes. Determine the null hypothesis.
Whether the suitable analysis would be one-tailed test or two-tailed test. A type I and type II error, given context of hypothesis.
Find the test statistic, p-value and critical value and state a final conclusion. Sample data: n=40, mean of the values in a sample = 117, assume that the standard deviation = 14 and the significance level = 0.05
You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 95 percent confidence level and state that the estimated proportion must be within 2 percent of the population proportion.
The distribution of hits/9-innings is approximately normal with mean 8.72 and standard deviation 1.10. Demonstrate, statistically, why a no-hitter is considered an extremely rare occurrence in MLB.
A commuter travels many miles to work each morning. She has timed this trip 5 times throughout the last month. The time (in minutes) required to make this trip was 44, 39, 41, 35, and 41.
Consider a random sample of six families who are asked if their children have an influence on their vacation destination.
Let B be the event that a randomly selected person from this sample is employed. What is P(A|B) (rounded to two decimal places)?
What is the probability that the first order will come on the fourth sales call of the day? Please show work and round to 4 decimal places.
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