Univariate OLS, Inference with Binary Variable.You have collected 15,925 observations from the Current Population Survey.There are 7,285 females in the sample and 8,640 males. The females reporta mean of average hourly earnings of $15.50 with a standard deviation of$7.06. The males have an average of $21.09 and a standard deviation of$10.85.(a) You accidentally regress average hourly earnings on an intercept onlywithout any independent variable. What will the regression coefficientbe?(b) Finally, you run the correct regression on the entire sample on an inter-cept and a binary variable M. This variable takes on a value of 1 if theindividual is a male and is 0 otherwise. Denote the coefficient on thebinary variable as B1. What will be the value of the intercept? Whatwill be the value of B1?(c) What is the standard error of B1?(d) Compute the 95% confidence interval of ß1 and test the null hypothesisthat B1 = 5.

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Answered: Univariate OLS, Inference with Binary…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You hypothesize that people in stats classes are happier than people in all other classes. You compare happiness scores in three of your classes: Statistics, Developmental Psychology, and Social Psychology. In Statistics there are 15 students and the mean happiness rating is 23.1 with a standard deviation of 9.78. In Developmental Psychology there are 15 students and the mean happiness rating is 24.4 with a standard deviation of 2.92. In Social Psychology there are 15 students with a mean rating of 17.7 and standard deviation of 8.46. The sum of squares between groups is equal to 384. The sum of squares within groups is equal to 2461. Use the One-Way ANOVA calculation table to help calculate. What is the degrees of freedom within samples?
True or false. If the standard deviation of a dataset is 0, the mean must also be 0.
Help!
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. a) Estimate the P-value. select one:P-value > 0.0100.0010 < P-value < 0.010 0.250 < P-value < 0.00100.125 < P-value < 0.250P-value < 0.125 b) Sketch the sampling distribution and show the area corresponding to the P-value. c) will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and…
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. (a)What is the level of significance? =__ State the null and alternate hypotheses. A-H0: ? = 19 in; H1: ? ≠ 19 in B-H0: ? < 19 in; H1: ? = 19 in C-H0: ? = 19 in; H1: ? < 19 in D-H0: ? = 19 in; H1: ? > 19 in E-H0: ? > 19 in; H1: ? = 19 in (b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. A-The Student's t, since the sample size is large and ? is known. B-The standard normal, since the sample size is large and ? is known. C-The…
Jeff is doing an experiment involving mice. The mice weights have mean weight 3.74 ounces and standard deviation 0.026 ounces. Jeff selects 100 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1471 and the standard deviation was 317. The test scores of four students selected at random are 1900,1200,2200,and 1370. Find the z-scores that correspond to each value and determine whether any of the values are unusual.
You determine that the standard deviation for a sample of test scores is 0. This tells you that 1 all the test scores must be 0. 2 all the test scores must be the same value. 3 there is no straight-line association. 4 the mean test score must also be 0. 5 you made a mistake because the standard deviation can never be 0.
When you have significant results in data analysis, it is customary to report all relevant means and standard deviations. True or false
The average cost for one year of college is $20,000 with a standard deviation of $2,000. Also, it is known that the costs are normally distributed. What are the minimum and the maximum cost of the middle 95% of college students?

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