A researcher wants to study the relationship between salary and gender. She randomly selects 218 individuals and determines their salary andgender. Can the researcher conclude that salary and gender are dependent?MaleBelow $25,00018$25,000-$50,00035$50,000-$75,000 26Above $75,00026105IncomeTotalFemale Total1230235860861844113218Step 6 of 8: Find the critical value of the test at the 0.005 level of significance. Round your answer to three decimal places.Copy Data

The null and alternative hypotheses are:

Answered: A researcher wants to study the…

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 researcher wants to investigate whether self-reported empathy is related to charitable donations. He recruits a sample of ten participants and asks them to report their empathy on a scale of 1 to 10, as well as how much money they have donated to charity in the past year. The raw scores are presented below: Participant Empathy Donations 1 6 30 2 7 40 3 10 10 4 3 30 5 5 30 6 4 50 7 8 0 8 2 80 9 6 20 10 9 10 What is the sum of products?A) -430B) 60C) 4800D) 55300 What is the covariance between empathy and charitable donations?A) -47.778B) -0.801C) 6.667D) 6144.444 What is the obtained t-value for the correlation between empathy and charitable donations?A) -0.801B) -1.258C) -3.788D) -10.716 What is the critical t-value?A) 2.306B) 2.262C) 2.101D) 2.093 What is your conclusion?A) There is no significant correlation between empathy and charitable donations.B) There is a significant positive correlation between empathy and charitable donations.C) There is a…
Suppose you have collected data on 1000 customers who visited your company's website last week. For each customer, the time spent on the page and the total amount of customer purchases during the visit were recorded. You want to explore the relationship between these two variables. What is the explanatory variable and what is the response variable? to. Explanatory: Time spent on the page Answer: Total amount of purchases b. It is not possible since neither explains c. Answer: Time spent on the page Explanatory: Total amount of purchases
Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students.The scores are shown below. 43 51 11 91 77 36 64 37 42 72 54 62 36 75 51 D 72 37 29 39 61 48 63 36 41 21 37 51 47 86 14 To find the 10% trimmed mean of a data set, order the data, delete the lowest 10% of the entries and the highest 10% of the entries, and find the mean of the remaining entries. Complete parts (a) through (c). (a) Find the 10% trimmed mean for the data. The 10% trimmed mean is (Round to the nearest tenth as needed.) (b) Compare the four measures of central tendency, including the midrange. Mean = (Round to the nearest tenth as needed.) Median = Mode = (Use a comma to separate answers as needed.) The midrange is found by the following formula. (Maximum data entry) + (Minimum data entry) Midrange = (Round to the nearest tenth as needed.) (c) What is the benefit of using a trimmed mean versus using a mean found using all data…
A statistics professor would like to build a model relating student scores on the first test to the scores on the second test. The test scores from a random sample of 2121 students who have previously taken the course are given in the table. Test Scores Student First Test Grade Second Test Grade 1 8989 7777 2 6060 7373 3 5252 6767 4 4444 6262 5 7474 7373 6 6969 7171 7 4343 6363 8 8080 7878 9 4747 6161 10 7676 7878 11 6565 7575 12 8989 7878 13 7878 7777 14 9696 8181 15 5252 6161 16 9393 8585 17 9090 8080 18 6767 6969 19 4343 6060 20 4848 6161 21 4646 6161 Copy Data Step 1 of 2: Using statistical software, estimate the parameters of the model Second Test Grade=β0+β1(First Test Grade)+εiSecond Test Grade=β0+β1(First Test Grade)+εi. Enter a negative estimate as a negative number in the regression model. Round your answers to 4 decimal places, if necessary.
he data on the number of chocolate chips per bag for 42 bags of Chips Ahoy! cookies were obtained by the students in an introductory statistics class at the United States Air Force Academy in response to the Chips Ahoy! 1,000 Chips Challenge sponsored by Nabisco, the makers of Chips Ahoy! Use the data collected by the students to answer the following questions and to conduct the analyses required in each part. They found ¯xx¯ = 1261.6 and s = 117.6 a. Determine a 95% confidence interval for the mean number of chips per bag for all bags of Chips Ahoy! cookies. ≤μ≤≤μ≤ b. Interpret your result in words. c. Can you conclude that the average bag of Chips Ahoy! Cookies contain at least 1000 chocolate chips? yes no
A researcher hypothesizes that different colors of cars result in different average speeds. To test this claim, she took a random sample of 20 people who own 4 different colors of colors of cars (n = 20, N = 80, G = 4), and she then tracks their average speed on the highway for a week of driving. The following ANOVA table has some of her results. Please help her answer her research questions by completing the following ANOVA table below and answering the follow-up questions. Be sure to label your answers with the appropriate letter and show all your work! Source Sums of Squares df Mean Square F Effect (between) Error (within) 100.90 ------ Total 170.10 ------- ------ a) What is the Sums of Squares (SS) between (effect)? b) What are the Mean Square (MS) between (effect) and the MS within (error)? c) What are the degrees of freedom (df) between, the df within, and the df total? d) What is the overall F-statistic? e) Based on the…
A new vaccination is being used in a laboratory-experiment to investigate whether it is effective. There are 258 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 55 62 117 Not Vaccinated 70 71 141 Total 125 133 258 Copy Data Step 6 of 8: Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.
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 director of student services at Oxnard College is interested in whether women are less likely to attend orientation than men before they begin their coursework. Arandom sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 335 No 314 392 344 What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Select an answer Select an answer v (please enter a decimal and note that Họ: Select an answer p1 and ul represent the proportion and mean for women and p2 and µ2 represent the proportion and mean for men.) H1: Select an answer Select an answer Select an answer | (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ?a e. Based on this, we should Select an answer f.…
A researcher wants to compare scores on two different IQ tests (A and B). Six randomly selected people take test A on one day and then they take test B the next day. The data is in the following table:

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