---**Testing for Income Differences between Escambia and Miami-Dade Counties in Florida**An economist aims to determine if there is any difference in income between Escambia County and Miami-Dade County in Florida. For this purpose, random samples of residents from both counties are collected, and the following data is obtained. Both populations are assumed to be normally distributed with equal population variances.### Sample Data:**Escambia County (Population 1):**- Sample Size ($ n_1 $) = 11- Sample Mean ($ \bar{x}_1 $) = 36,700- Sample Standard Deviation ($ s_1 $) = 7800**Miami-Dade County (Population 2):**- Sample Size ($ n_2 $) = 15- Sample Mean ($ \bar{x}_2 $) = 34,700- Sample Standard Deviation ($ s_2 $) = 7375### Hypotheses Setup:To test the economist's claim, we set up the null and alternative hypotheses as follows:- **$ H_0 $: $ μ_1 - μ_2 = 0 $ versus $ H_a $: $ μ_1 - μ_2 ≠ 0 $**### Finding the Value of the Standardized Test Statistic:The standardized test statistic options provided are:- -2.713- 2.713- -0.64- 0.64- 0.67### Decision at a 5% Significance Level:To find the rejection region and state the decision:- **Reject $ H_0 $ if $ t < -2.064 $. Decision: Reject $ H_0 $.**- Reject $ H_0 $ if $ t < -1.711 $. Decision: Reject $ H_0 $.- Reject $ H_0 $ if $ -1.711 < t < 1.711 $. Decision: Do not reject $ H_0 $.- Reject $ H_0 $ if $ t ≥ 2.064 $. Decision: Do not reject $ H_0 $.- **Reject $ H_0 $ if $ t < -2.064 $ or $ t > 2.064 $. Decision: Do not reject $ H_0 $.**---Explanation:- The

Answered: An economist wants to test if there is…

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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A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory, the studio randomly selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for each movie. The results of the survey are as follows. Assume that the population variances are approximately equal. Box Office Revenues (Millions of Dollars) n Drama 10 160 30 Comedy 15 140 10 Copy Data Calculate a 99 % confidence interval for the difference in mean revenue at the box office for drama and comedy movies. Let dramas be Population 1 and comedies be Population 2. Write your answer using interval notation and round the interval endpoints to two decimal places.
1. Birds can regrow feathers if they are lost. A researcher was interested in whether newly regrown feathers in the tails of northern flickers differed in colour (yellowness in particular) compared to older feathers. To test this, they measured the yellowness of one new and one randomly selected old feather on each of 20 birds. A plot of their data and the results of their analysis are shown below. Yellowness 160 150 140 130 new X Feather old Welch Two Sample t-test = data: Yellowness by Feather t = 1.5832, df 37.986, p-value 165 sample estimates: mean in group new mean in group old 147.9623 143.3000 160 New 155 150 145 140 135 = 0.1217 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -1.299296 10.623962 T T T T T 130 135 140 145 150 155 160 Old a) From the results above, what is the null hypothesis and what statistical conclusion do you make concerning it?
The Variance of Population for the following data:X = 155, 175, 125, 155, 175, %3D 195, 185, 525, 255, 425, 355, 455 is : * O 19350 O 15403 O 18600 O 17400
The figure shows population density (people per square mile) for all states of a certain country. The states are divided into four geographical regions: A, B, C, and D. Answer the questions below. D- 0 100 200 300 400 500 600 700 800 900 1000 1100 People per Square Mile Why is it best to compare medians and interquartile ranges for these data, rather than comparing means and standard deviations? OA. These data are fairly symmetric and do not have outliers, and the median and interquartile range provide more reliable information in these circumstances. B. Some of these data have outliers and/or are skewed, and the median and interquartile range amplify the effects of outliers and skewness. OC. Some of these data have outliers and/or are skewed, and the median and interquartile range are resistant to outliers. OD. Some of these data have vastly different centers, and the median and interquartile range provide more reliable information in these circumstances. List the approximate median…
Morgan wants to test the speed for two different routes she can take to ride her bicycle home from work. Route A involves riding her bicycle on a busy road, and Route B involves riding her bicycle along a scenic trail. Assume that the population variances are not equal.Morgan collects some data, given below:Route A: xA=17.1 minutes, sA=4.6 minutes, nA=33 Route B: xB=15.8 minutes, sB=4.2 minutes, nB=39 _______________________________________________________________________________________ a. State the null and alternative hypothesis for the claim that Route A takes longer on average than Route B. b. We will use a/an (unpooled or pooled) t-test with _____ degrees of freedom. c. Calculate the standardized test statistic for the hypothesis test, rounded to 2 decimal places. Keep in mind that the formula for the denominator depends on whether the test is pooled or unpooled.
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
7h. A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. CurrentYear PreviousYear 345 315 526 451 420 450 216 206 285 263 405 432 635 585 710 650 605 545 517 547 570 496 610 580 Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value =
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
The distribution of male height (X) in the US is known to be normally distributed with mean of about 70 inches and variance of 25 inches. What is the IQR? (hint: think about what the IQR represents in a boxplot with regard to percentiles). The z tables can be found at the bottom of the written portion of the exam or at the end of Lecture Note 10. a.) 5.0 b.) 9.0 c.) 7.3 d.) 10.0 e.) 6.7
A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory, the studio randomly selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for each movie. The results of the survey are as follows. Assume that the population variances are approximately equal. Box Office Revenues (Millions of Dollars) n x S Drama 14 150 50 Comedy 16 120 10 Copy Data Calculate a 99 % confidence interval for the difference in mean revenue at the box office for drama and comedy movies. Let dramas be Population 1 and comedies be Population 2. Write your answer using interval notation and round the interval endpoints to two decimal places.
Please help me with this question.
If two large random samples are drawn from two populations, each having a mean of $100, the relevant sampling distribution of their difference has a mean of a. 200 b. The Sum of the 2 Sample Means C. 0 D. The difference between the two sample means.

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