A statistics teacher claims that, on the average, 15% of her students get a grade of A, 25% get a B, 10% get a C, 15% get a D,and 35% get an F. The grades of a random sample of 110 students were recorded. The following table presents the results. Testthe hypothesis that the grades follow the distribution claimed by the teacher. Use the 0.05 level of significance and the P-valuemethod with the TI-84 Plus calculator.Grade A BObserved 5 32 15 23 35Send data to ExcelPart: 0 / 5Part 1 of 5C DF(a) How many of the students in the sample got a D? How many got a C?The number of students who got a D isThe number of students who got a C is

The claim is 15% of her students get a grade of A, 25% get a B, 10% get C, 15% get a D and 35% get…

Answered: A statistics teacher claims that, on…

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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The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 900 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 625 330 Women who disagree 275 70 Compute the test statistic, rounding to three decimal places. Find the critical value(s). (Round to three decimal places) What is the conclusion based on the hypothesis test?
A sample survey by Comcast asked a random sample of customers about use of the Internet and about the type of community they lived in. Here are the results: Internet Users: Rural: 433 Suburban: 1072 Urban: 536 Nonusers: Rural: 463 Suburban: 627 Urban: 388 Is there a relationship between Internet use and community type? Give statistical evidence to support your findings.
Caden then performs a significance test. First, he performs 100 simulations. For each simulation, he randomly reorganizes the subjects into two groups, A and B, of size 10. In the simulations, group A plays the role of the treatment group and group B plays the role of the control group. After each simulation, he subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram. 30 28 26 24 22 12 10 6. 2 Group A avg. - Group B avg. In the original experiment, the average for the treatment group was 0.8 higher than the average for the control group. Based on the 100 simulations, are the results of the experiment significant at the 5% level? yes no Number of simulations [-2.7, -2.2) [-2.2, -1.7) [-1.7, -1.2) [-1.2, -0.7) [-0.7, -0.2) [-0.2, 0.3) [0.3, 0.8) [0.8, 1.3) [1.3, 1.8) [1.8, 2.3) [2.3, 2.8)
Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1 equals smooth-yellow, 2 equals smooth-green, 3 equals wrinkled yellow, and 4 equals wrinkled-green. a. The range of the sample data is (Type an integer or a decimal. Do not round.) b. the standard deviation of the sample data is (Round to one decimal place as needed.) c. The variance of the sample data is (Round to one decimal place as needed.)
A researcher wanted to test whether there is a relationship between preferred sweet (Oreo cookies, Mars bars, or Twinkies) and age group (children, adolescents, or young adults). To test that, subjects from the three age groups were asked which of the three sweets they preferred. Which statistical test should be used to analyze the data? 1. chi square test of independece 2. chi square test for goodness of fit 3. one sample t test 4. one way anova test
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Hours 47 47 55 51 48 65 51 52 50 49 51 54 What are the correct hypotheses? Ho: Select an answer ✓ ? ✓ Ha: Select an answer ✓ Test Statistic= hours Based on the hypotheses, find the following: p-value= hours (Give answer to at least 4 decimal places.) (Give answer to at least 4 decimal places).
A statistics teacher claims that, on the average, 15% of her students get a grade of A, 15% get a B, 25% get a C, 15% get a D, and 30% get an F. The grades of a random sample of 130 students were recorded. The following table presents the results. Test the hypothesis that the grades follow the distribution claimed by the teacher. Use the 0.05 level of significance and the P-value method with the TI-84 Plus calculator. Grade B C D F Observed 8. 26 31 24 41 Send date to Excel Part: 0/5 Part 1 of 5 (a) How many of the students in the sample got an A? How many got a D? The number of students who got an A is The number of students who got a D is
A statistics teacher claims that, on the average, 5% of her students get a grade of A, 15% get a B, 35% get a C, 30% get a D, and 15% get an F. The grades of a random sample of 120 students were recorded. The following table presents the results. Test the hypothesis that the grades follow the distribution claimed by the teacher. Use the 0.025 level of significance and the p-value method with the TI-84 Plus calculator. Grade A, 9 observed, grade B, 4 observed, grade C, 48 observed, grade D, 37 observed, grade F, 22 observed. What is the p-value?
dults aged 18 years old and older were randomly selected for a survey on obesity. Adults are considered obese if their body mass index (BMI) is at least 30. The researchers wanted to determine if the proportion of southern women who are obese is less than the proportion of southern men who are obese. The results are shown in the table below. Test at the 1% level of significance. Number who are obese Sample size Men 42,773 155,525 Women 67,176 248,775 a.State the distribution to use for the test. (Round your answers to five decimal places. b. What is the test statistic c. Conduct a Hypothesis Test
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 Pew Research Center survey asked respondents if they would rather live in a place with a slower pace of life or a place with a faster pace of life. The survey also asked the respondent's gender. Consider the following sample data. Do not round your intermediate calculations. Gender Preferred Pace of Life Male Female Slower 229 221 No Preference 18 26 Faster 93 43 a. Is the preferred pace of life independent of gender? Using a .05 level of significance, what is the p-value? Compute the value of the x test statistic (to 3 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? - Select your answer - v that the preferred pace of life is not independent of gender. b. What are the percentage responses for each gender (to 1 decimal)?
A study tested the effects of 4 different dosages of a new antidepressant on reducing depressive symptoms in one group of depressed participants. The order of the four dosages was counterbalanced across participants. Which statistical test should be used? Select one: a. One-way between subjects ANOVA b. One-way repeated measures ANOVA c. Two-way between subjects ANOVA Incorrect d. None of these options

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