PART TWO Solutions to Empirical Exercises Chapter 3 Review of Statistics Solutions to Empirical Exercises 1. (a) Average Hourly Earnings, Nominal $’s Mean AHE1992 AHE2004 AHE2004 − AHE1992 (b) Average Hourly Earnings, Real $2004 Mean AHE1992 AHE2004 AHE2004 − AHE1992 15.66 16.77 Difference 1.11 SE(Mean) 0.086 0.098 SE(Difference) 0.130 95% Confidence Interval 15.49−15.82 16.58−16.96 95% Confidence Interval 0.85−1.37 11.63 16.77 Difference 5.14 SE(Mean) 0.064 0.098 SE(Difference) 0.117 95% Confidence Interval 11.50−11.75 16.58−16.96 95% Confidence Interval 4.91−5.37 (c) The results from part (b) adjust for changes in purchasing power. These results should be used. (d) Average Hourly Earnings in 2004 Mean High School College …show more content…
(b) Bob’s predicted years of completed education = 13.96 − 0.073 × 2 = 13.81 Bob’s predicted years of completed education if he was 10 miles from college = 13.96 − 0.073 × 1 = 13.89 (c) The regression R2 is 0.0074, so that distance explains only a very small fraction of years of completed education. (d) SER = 1.8074 years. 4. (a) 10 5 Growth 0 -5 0 .5 1 Trade Share 1.5 2 Yes, there appears to be a weak positive relationship. (b) Malta is the “outlying” observation with a trade share of 2. · (c) Growth = 0.64 + 2.31 × Tradeshare Predicted growth = 0.64 + 2.31 × 1 = 2.95 · (d) Growth = 0.96 + 1.68 × Tradeshare Predicted growth = 0.96 + 1.68 × 1 = 2.74 (e) Malta is an island nation in the Mediterranean Sea, south of Sicily. Malta is a freight transport site, which explains its large “trade share”. Many goods coming into Malta (imports into Malta) and immediately transported to other countries (as exports from Malta). Thus, Malta’s imports and exports and unlike the imports and exports of most other countries. Malta should not be included in the analysis. Chapter 5 Regression with a Single Regressor: Hypothesis Tests and Confidence Intervals Solutions to Empirical Exercises 1. (a) · AHE = 3.32 + 0.45 × Age (0.97) (0.03) The t-statistic is 0.45/0.03 = 13.71, which has a p-value of 0.000, so the
Question 4 Use the following table to answer the questions that follow: According to the table, the labor force participation rate in this economy is equal to:
One-sample t-test are used in the parametric test which analyzes the means of populations. The t-test for independent groups are statistics that relates difference between treatment means to the amount of variability expected between any two samples of data within the same population (Hansen & Myers, 2012). Critical values are used in significant testing provide a range of t distribution that is used in whether a null hypothesis is rejected. Based on the data below as the level of significance is at .05, thus the critical values would fall under ±1.860 and the t value for this is 1.871 would suggest for the null to be rejected as it is greater than the critical value (Privitera, 2015, p. 267). Based on the population mean of 70 there was a mean difference of
Step 1: Null Hypothesis: The average (mean) number of years lived in the current home is equal to 8 years.
You will use a 5% level of significance to conduct this test. You get an asymptotic t-stat equal to
t = −3.15 describes the difference between women and men for what variable in this study? Is this value significant? Provide a rationale for your answer.
Please check your numbers again, some of them seem incorrect. For example, how is that possible the subset has a more extended age range than the total sample?
The null hypothesis was that the female and male shoe sizes have an equal mean while the alternative hypothesis was that female and male shoe sizes do not have an equal mean. With the degrees of freedom being 33, the t-statistic is -8.27. The probability that -8.27 is ≤-1.69 is 7.5×10-10 for the one-tailed test. Also, the probability that -8.27 is ≤ ±2.03. is 1.5×10-9 for the two-tailed test. Due to both probabilities being under the alpha value of 0.05, the null hypothesis is rejected, and the alternative hypothesis is accepted at the 95% confidence level.
b) What is the difference between the mean of the two groups? What is the difference in the standard deviation?
A researcher found a significant relationship between a person's age, a, the number of hours a person works per week, b, and the number of accidents, y, the person has per year. The relationship can be represented by the multiple regression equation y = -3.2 + 0.012a + 0.23b. Predict the number of accidents per year (to the nearest whole number) for a person whose age is 42 and who works 46 hours per week.
So, we should reject the null hypothesis H0. At a 0.05 level of significance level, we conclude that there is a significant difference between the average height for females and the average height for the males.
It tells that the t-statistic with 97 degrees of freedom was 2.14, and the corresponding p-value was less than .05, specifically around 0.035. Therefore, it is appropriate to conclude the research study was statistically significant.
2. Use simple regression to estimate the salary cost function for Delta Airlines. Comment on the statistical validity and significance of your results. What are the
I am a Chinese immigrant, and I have been New York six years already. In here, I spend lots of time to learn English and adapt the cultures. Even my language is not as good as a native speaker, but I still want to be an American here. Therefore, I am planning to become a US citizen within two years, before I graduate college. In this six years, I started from learning alphabetical in high school. Because of my language problem, I didn’t have a good GPA in high school. It made me upset. After I graduate high school, I didn’t go to college, because I thought, even I went to college at that time, I won’t have good score and achievement. I won’t spend too much time and concentrated on study. Therefore, in the year after I graduated, I went to
For this independent t test, the mean GPAs of 64 females and 41 males were compared. The variables used are (1) gender, and (2) GPA. The predictor, or independent, variable is gender. And the outcome variable is GPA. Gender can only have two values, male or female; this
Run the regression Report your answer in the format of equation 5.8 (Chapter 5, p. 152) in the textbook including and the standard error of the regression (SER). Interpret the estimated slope parameter for LOT. In the interpretation, please note that PRICE is measured in thousands of dollars and LOT is measured in acres.