An achievement test given to high school seniors is used to predict college GPA. The following...
Problem 7 A study of 427 college students was conducted to test whether high school GPA is a predictor of first-year college GPA. Students with higher High school GPA are expected to do better in college colgpa Grade point average in college (Range 0.85 3.97) hsgpa High school GPA (Range 2.29-4.5) Model 1: OLS, N -427 Dependent variable: colgpa coefficient 0.9 0.4 std. error const hsgpa 0.15 R-squared: 0.854880 a. (3%) Write the equation for the least-squares regression line: y-...
Problem 7 A study of 427 college students was conducted to test whether high school GPA is a predictor of first-year college GPA. Students with higher High colgpa-: Grade point average in college (Range 085-397 ) hsgpa High school GPA (Range 2.29-4.5) school GPA are expected to do better in college. Model 1: OLS, N 427 Dependent variable: colgpa coefficient 0.9 0.4 std. error const hsgpa 0.15 R-squared: 0.854880 a. (3%) Write the ea ation for the least-squares regression line:...
A study of 427 college students was conducted to test whether high school GPA is a predictor of first-year college GPA. school GPA are expected to do better in college. Students with higher High colgpa-Grade point average in college (Range 0.85 -3.97) hsgpaHigh school GPA (Range 2.29-4.5) Model 1: OLS, N-427 Dependent variable: colgpa coefficient std. error const hsgpa 0.5 0.15 R-squared: 0.854880 a. (3%) Write the equation for the least-squares regression line: y- b. (396) The null hypothesis is:...
Achievement test scores of all high school seniors in a state have mean 60 and variance 64. A random sample of n = 100 students from one large high school had a mean score of 58. Is there evidence to suggest that this high school is inferior? (Calculate the probability that the sample mean is at most 58 when n = 100.) Show the appropriate graph of the sample mean.
Problem 7 A study of 427 college students was conducted to test whether high school GPA is a predictor of first-year college GPA. Students with higher High school GPA are expected to do better in college. colgpa Grade point average in college (Range 0.85-3.97) hsgpa High school GPA (Range 2.29-4.5) Model 1: OLS, N-427 Dependent variable: colgpa std. error 0.8 0.5 const hsgpa 0.1 R-squared: 0.854880 ,- a. (3%) write the equation for the least-squares regression line: b. (3%) The...
Problem 7 A study of 427 college students was conducted to test whether high school GPA is a predictor of first-year college GPA Students with higher High school GPA are expected to do better in college. colgpa = Grade point average in college (Range 0.85 -3.97) hsgpa = High school GPA (Range 2.29 -4.5) Expand Model 1: OLS, N=427 Dependent variable: colgpa coefficient std. error const 0.8 hsgpa 0.6 0.1 R-squared: 0.854880 a. Write the equation for the least squares...
The grade point averages (GPA) of 18 randomly selected college students are used to estimate the mean GPA of the college students. The GPAs from the sample are as follows: 2.3 3.3 2.6 1.8 0.2 3.1 4.0 0.7 3.1 2.3 2.0 3.1 3.4 1.3 2.6 2.6 3.7 2.2 (5 points) Is it justified to use of the standard normal distribution to construct the confidence interval? Explain. (10 points) If the population is assumed to be normally distributed, construct a 98% confidence interval for the population mean GPA. Show your work in detail and use 3...
A guidance counselor claims that the high school students in a college preparation program have higher ACT scores than those in a general program. The sample mean ACT scores for 37 high school students in a college prep program is 22.7 and assume the population standard deviation is 3.5. The sample mean ACT scores for 35 high school students in a general prep program is 21.1. Assume the population standard deviation is 4.9. At = 0.02 , test the...
1. Suppose the scores for high school seniors on the verbal portion of the SAT test have a population mean of 509 and a population standard deviation of 112. a. List the population and the variable. b. What do you know about the population distribution of SAT scores for high school seniors? (i.e. shape, center, spread) c. Suppose we randomly select 56 high school seniors from this population. What would you expect the shape, mean and standard deviation of the...
(4)Five hundred students from a local high school took a college entrance examination. Historical data from the school record show that the standard deviation of test scores is 40. A random sample of thirty- six students is taken from the entire population of 500 students. The mean test score for the sample is three hundred eighty. Find (a) 95% confidence interval for the unknown population mean test score. (b) 95% confidence interval for the unknown population mean test score if...