2) You wish to know if the distribution of preferences for cake, ice cream, or cookies differs across men and women. The nullhypothesis is that these variables are independent; that is, the distribution is the same across men and women. You collect data from60 Americans and find the following:CakeIce Cream10-Men•Women101215Cookies85•Conduct a chi square test for independence and draw a conclusion.+3) Study and then define, give examples of, and write out notation for set, subset, union, intersection, sample space, event, andcomplement of an event.4) Consider a partition of the sample space representing possible states of reality (drug helps, null, drug hurts). You initially assumethat P(helps)=.45, P(null)=.10, P(hurts)=.45. You collect data and you find that P(data/helps)=.3, P(data null)= 2, andP(data/hurts).1. Apply Bayes Rule to compute your updated probability that the drug helps.

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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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11. In the following studies, state whether you would use a one-sample t test or a two independent samples t test. 11a. A study testing whether night-shift workers sleep the recommended 8 hours per day.(Select A or B) A. one sample t test B. two independent samples t test Answer for 11a = 11b. A study measuring differences in attitudes about morality among men and women. = .27 (Select A or B) A. one sample t test B. two independent samples t test Answer for 11b = 11c. An experiment measuring differences in brain activity among rats placed on either a continuous or an intermittent reward schedule. = .26 (Select A or B) A. one sample t test B. two independent samples t test Answer for 11c =
A forestry official is comparing the causes of forest fires in three regions. The following table shows the causes of fire for 100 randomly selected recent fires in these three regions. Lighting Accident Arson Others Region A 12 8 4 8 Region B 5 11 14 5 Region C 4 12 2 15 Test at a 5% significance level whether causes of fire and regions of fires are related.
13. Priti, a shopkeeper, is studying whether customers' preference for striped or solid-color ties differs by age. She asks 180 customers to indicate their preference, and she records whether each customer is under or over 30 years old. Here is the distribution of responses: Striped Solid-Color Under 30 90 40 Over 30 10 40 Priti conducts a hypothesis test (a = .05) and obtains a value of 35.45 for the test statistic. %3D Which statistical test did Priti use? Be specific. Why did she use this particular test? What is the critical value of the test statistic in Priti's test? What is the effect size? Report the results in APA style, including the relevant descriptives.
I ONLY need help with C. I cannot come up with an answer. Not enough information for me to solve. Thank you. A teacher wishes to know whether the males in his/her class have more conservative attitudes than the females. A questionnaire is distributed assessing attitudes. a. Is this a sampling or a census? b. Is this an observational study or an experiment? c. Are there any possible sources of bias in this study?
C. Predicting Student Success STA believes there is a relationship between high school GPA (on a four-point scale) and college performance (as measured by GPA on a four-point scale). The following data were randomly selected from among students enrolling Fall 2020. HS GPA STA GPA Student 1 HS GPA STAGPA Student 21 2.9 2.5 3.6 3.4 2 3.4 3.1 3.0 22 3.4 4.0 1.7 3 3.1 23 2.9 2.9 1.7 3.0 3.2 3.3 4 24 3.5 5 3.4 25 4.0 3.6 3.6 3.0 26 3.6 3.8 3.2 3.9 3.1 27 8. 4.0 3.9 28 3.4 3.6 3.2 9. 3.0 3.0 29 3.7 10 2.9 2.0 3.0 30 4.0 3.3 4.0 3.2 11 3.3 31 12 3.6 3.8 32 3.7 3.2 3.4 3.0 13 3.7 3.9 33 14 3.8 3.6 34 2.5 2.0 15 2.5 2.5 35 2.9 2.9 3.7 2.2 16 2.9 2.5 36 3.8 17 2.8 2.1 37 2.9 18 3.8 1.7 3.5 38 3.6 3.5 3.6 19 3.7 39 3.6 20 3.9 3.0 40 3.1 3.6 Is high school GPA a good predictor of STA GPA? Why? What STA GPA would you predict for a student with a high school GPA of 3.75? How you would make the prediction.
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 96 Married, no children 29% 118 Single parent 9% 37 One person 25% 95 Other (e.g., roommates, siblings) 11% 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are the same.H1: The distributions are different. H0: The distributions are different.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different. (b) Find the…
A marketer is examining the effectiveness of color scheme on the willingness to subscribe to a user's social media account. She creates three different profiles using three different color schemes: red, blue, and green. Twenty participants are asked to evaluate how much they like each of the profiles using a scale of 1 (do not like) to 5 (like a lot). What statistical procedure should you use to analyze these data? O independent groups t test O correlated groups t test O One Way Between Subjects ANOVA O One Way Repeated Measures ANOVA
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 type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community Percent of U.S. Type of Household Households Married with children 26% 110 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 101 32 25% 98 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the nul and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Hg: The distributions are the same. H: The distributions are different. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test…
The sample data below represent the number of late and on time flights for three airlines. Flight Late 1 Airline 2 3 81 93 98 On Time 219 207 302 (a) Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines. P₂ P3 O Ho: Not all population proportions are equal. Ha: P₁ = P₂ = P3 Ho: P₁ = P₂ = P3 H: Not all population proportions are equal. O Ho: All population proportions are not equal. Ha: P₁ = P₂ = P3 O Ho: P₁ = P₂ = P3 H: All population proportions are not equal. (b) Conduct the hypothesis test with a 0.05 level of significance. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = Need Help? Read It State your conclusion. Reject H. We cannot conclude that not all of the population proportions are equal. O Do not reject Ho. We conclude that not all of the population proportions are equal. O Reject H. We…
1. An educational psychologist at a large university wants to estimate the mean IQ of the students in tertiary institutes in UK. A random sample of 15 students (in universities in UK) gives the following data on IQs. From further investigation, the data are normally distributed. 113 120 103 118 104 98 110 126 88 110 126 112 120 101 115 a. At the 5% significance level, do the data provide sufficient evidence to conclude that the IQ of tertiary students in UK is higher than the common UK adults? b. Obtain the 95% confidence interval for the mean IQ of tertiary students in UK.(Given that IQs of UK adults are normally distributed with µ = 100 and  = 16.) 2. In US, the mean weekly earning of male works was $1005 last year. A random sample of 50 female workers, their weekly earnings also last year in dollars are provided in the following table. 560 360 688 1301 49 582 751 4131 3211 646 1312 1931 764 297 232 699…
A researcher believe that increasing attention given to children will improve academic performance. He invites parents to volunteer during school to help the children with their activities. At the end of the school year he compares the academic performance of these children with the mean and standard deviation of historical rate on academic achievement. Which statistic test is appropriate for this study and why? (By using the decision tree). A. Z test B. Single sample t test C. Two independent samples t test D. Two related samples t test E. One way between subjects ANOVA F. Correlation

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