Female undergraduates in randomized groups of 15 took part in a self-esteem study. The study measured an index of self-esteem from the point of view of competence, social acceptance, and physical attractiveness. Let x1, x2, and x3 be random variables representing the measure of self-esteem through x1 (competence), x2 (social acceptance), and x3 (attractiveness). Higher index values mean a more positive influence on self- esteem. Variable Sample Mean Standard Deviation Population Size Mean 15 19.48 2.92 X1 X2 X3 (a) Find a 90% confidence interval for µ1 – H2. (Round your answers to two decimal places.) lower limit 15 19.90 3.98 H2 15 17.42 3.60 upper limit (b) Find a 90% confidence interval for µ1 - H3. (Round your answers to two decimal places.) lower limit upper limit (c) Find a 90% confidence interval for µ2 - 43. (Round your answers to two decimal places.) lower limit upper limit

Female undergraduates in randomized groups of 15 took part in a self-esteem study. The study measured an index of self-esteem from the point of view of competence, social acceptance, and physical attractiveness. Let x1, x2, and x3 be random variables representing the measure of self-esteem through x1 (competence), x2 (social acceptance), and x3 (attractiveness). Higher index values mean a more positive influence on self- esteem. Variable Sample Mean Standard Deviation Population Size Mean 15 19.48 2.92 X1 X2 X3 (a) Find a 90% confidence interval for µ1 – H2. (Round your answers to two decimal places.) lower limit 15 19.90 3.98 H2 15 17.42 3.60 upper limit (b) Find a 90% confidence interval for µ1 - H3. (Round your answers to two decimal places.) lower limit upper limit (c) Find a 90% confidence interval for µ2 - 43. (Round your answers to two decimal places.) lower limit upper limit

Name: Female undergraduates in randomized groups of15 took part in a self-e
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: Female undergraduates in randomized groups of15 took part in a self-esteem study. The studymeasured an index of self-esteem from the pointof view of competence, social acceptance, andphysical attractiveness. Let x1, x2, and x3 berandom variables rep

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

According to a study on the effects of smoking by pregnant women on rates of asthma in their children, for expectant mothers who smoke 20 cigarettes per day, 22.2% of their children developed asthma by the age of two in the US. A biology professor at a university would like to test if the percentage is different in another country. She randomly selects 319 women who only deliver one child and smoke 20 cigarettes per day during pregnancy in that country and finds that 82 of the children developed asthma by the age of two. In this hypothesis test, Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and #4 4. Find the p-value. 5. The biology professor should Question 10 -- the null hypothesis.
A recent college graduate is trying to decide whether or not pursuing a Master's degree is worth it. He decides examine this question at the a 0.05 level of significance, by comparing the salaries of a random sample of adults with only a Bachelor's degree to a random sample of adults with a Master's degree to see if the adults with a Master's degree earn more money. Let uB represent the average salary of an adult with a Bachelor's degree only and uM represent the average salary of an adult with a Master's degree. Which would be correct hypotheses for this test? O Ho: HB = M, H1: HB > µM O Ho:HB µM, H1 : µB = µM O Ho: HB = HM, H1: HB < µM O Ho: HB = µM, H1: HB # UM A random sample of 68 adults with only a Bachelor's degree had an average salary of $45452, with a standard deviation of $1187. A random sample of 40 adults with a Master's degree had an average salary of $47214, with a standard deviation of $1769. Find the test statistic (2 decimal places): Give the P-value (4 decimal places…
It is claimed that the average amount of time boys and girls (age between 7 and 11) spend playing each day is the same. A child psychologist believes that boys, on average, spend more time playing sports than girls. He randomly selected 60 girls and 95 boys and observed their play time on sports. From his samples he found that girls have spend on average 2.6 hours, and boys have spent on average 3.9 hours playing sports. It is found that the time spent playing sports is normally distributed for girls with a standard deviation of 0.34 hours and for boys with a standard deviation of 1.53 hours. Is this day sufficient to support the psychologist claim? Do the test at 5% level of significance. Assume girls belong to population 1 and boys belong to population 2. Data given in this question are: y-bar1 = 2.6, y-bar2 = 3.9, sigma1 = 0.34, sigma2 = 1.53 mu1 = 2.6, mu2 = 3.9, sigma1 = 0.34, sigma2 = 1.53 y-bar1 = 2.6, y-bar2 = 3.9, s1 = 0.34, s2 = 1.53 mu1 = 2.6,…
Whirling disease is a deadly disease that affects trout in Montana riversIn a follow-up to a 2006 study conducted by the Montana Department of FishWildlife and Parks (FWP)researchers sought to determine if the proportion of trout afflicted by whirling disease in the Gallatin river differs between rainbow trout and brown trout. To test this theory, researchers collected a representative sample of 527 rainbow trout and 459 brown trout. Of the 527 rainbow trout collected, 120 had developed whirling disease; of the 459 brown trout collected, 74 had developed whirling disease Calculate the relative risk of whirling disease for rainbow trout compared to brown trout in this sample.
People who work out vigorously for an hour or more experience loss of electrolytes such as calcium, potassium, and sodium that are released from the body by sweat. Potassium is a very important part of many bodily functions for athletes, including transmitting nerve signals and fluid balance. A random sample of 9 athletes were given water after a vigorous one-hour workout and their electrolytes were then checked and recorded. After another vigorous one-hour workout on a different day, the same 9 athletes’ electrolytes were checked after being given a sports drink. Their potassium levels are given below. Do sports drinks help replenish lost potassium levels more than water after a vigorous workout? Refer to the table below. Water: 4.17, 2.88, 4.71, 4.79, 5.11, 4.12, 3.95, 4.22, 3.86 Sports Drink: 4.20, 3.30, 4.69, 4.82, 5.17, 4.08, 4.49, 4.54,3.71 hypothesis test needed Hypothesis test needed
A large clinical trial of the effect of diet on breast cancer assigned women at random to either a normal diet or a low-fat diet. To check that the random assignment did produce comparable groups, we can compare the two groups at the start of the study. Asked if there is a family history of breast cancer, 3396 of the 19,541 women in the low-fat group and 4929 of the 29,294 women in the control group said “yes.” Does this data provide evidence of a difference in the observed proportions of a family history of breast cancer? Assume α = .05; show work. What are the null hypothesis H0 and the alternative hypothesis Ha. Identify the rejection region. Compute the test statistic State your conclusion, using α = .05. What is the p-value of the test statistic?
Researchers recruited 1000 10- and 20-year-olds to participate in a study about age differences in aggression and the impact of violent video games on aggression. For 1-hour per day, half the participants were randomly assigned to play violent video games, while the other half played a nonviolent video game. A test for aggression was administered at the end of the year, and each participant received a score between 1 and 50 (higher scores indicate greater aggression). The results of the study are shown below: Factor 1 10 years 20 years old old Violent 35 25 Factor games 2 Nonviolent 25 45 games Is there a main effect of age? If so, which age shows more aggression?
Using the latest in medical technology, an orthopedic doctor has developed a new surgical procedure that he believes is an improvement over the standard procedure. He wants to study whether the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure. The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 10 patients who have the standard procedure. (These samples are chosen independently.) The doctor records each patient's recovery time (in days). These data are shown in the table. Recovery times (in days) 350, 284, 291, 393, 295, 377, 401, 371, 423, 449, 364 New procedure Standard procedure 435, 409, 419, 423, 388, 410, 412, 438, 396, 424 Send data to calculator Send data to Excel Assume that the two populations of recovery times are approximately normally distributed. Can the doctor conclude, at the 0.01 level of significance, that the population mean of the…
This experiment examines the performance, as measured by the number of errors made, on a motor skills task. 24 subjects, 12 young and 12 old, were assigned to either an easy or hard motor skills task. There were 2 factors in the study: age (young/old) and difficulty of the motor skills task (easy/hard). The number of errors made on the motor skills task was recorded for each person and is presented in the table below. Null and Alternative Hypotheses: H0: There is not an interaction between young and old H0: µYoung = µOld H1: There is an interaction between young and old H1: µYoung ≠ µOld H0: There is not an interaction between easy and hard H0: µEasy = µHard H1: There is an interaction between young and old H1: µEasy ≠ µHard H0: There is not an interaction between age and difficulty H0: µAge = µDifficulty H1: There is an interaction between age and difficulty. H1: µAge ≠ µDifficulty My question: Report the results of the hypothesis tests below. Be sure to express the results in the…
A sports psychologist studied the effect of a motivational program on number of injuries in one year among players of three different sports (baseball, football, and basketball). Players were randomly assigned to one of two conditions: either participate in a motivational program or none (control). Data was collected on the number of injuries sustained by each athlete that season. Question: If p = .024 for the main effect of sports, what should the researcher conclude?
A variety of variables were measured for all tornadoes in the United States in 2017. (a) Since 1950, the proportion of tornadoes that have been F0 is 0.465. Test whether a different proportion of F0 tornadoes occur in Texas than nationally. Note: Treat the tornadoes that struck in Texas as a simple random sample of all tornadoes that struck Texas since 1950 using a 0.05 level of significance. The summarized data show that 82 of 168 tornadoes in Texas were F0 during 2017. State the null and alternative hypotheses. Họ: H1: (Type integers or decimals. Do not round.) Because the data is treated as a simple random sample; npo(1- Po) V10: and the sample size n is less than 5% of the population size, we may the normal model to test the hypothesis. The P-value is. (Type integers or decimals rounded to four decimal places as needed.) If we obtained 100 independent random samples of size 168 from the state of Texas, we would expect (Type integers or decimals rounded to three decimal places as…
A ski resort tracks the proportion of seasonal employees who are rehired each season. Rehiring a seasonal employee is beneficial in many ways, including lowering the costs incurred during the hiring process such as training costs. A random sample of 755 full-time and 415 part-time seasonal employees from 2009 showed that 419 full-time employees were rehired compared with 186 part-time employees. (a) Is there a significant difference in the proportion of rehires between the full-time and part-time seasonal employees? (Use α = 0.02.) (a-1) Specify the decision rule. (A negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) Reject the null hypothesis if zcalc > _____ or zcalc < ______. (a-2) Find the test statistic zcalc. (Round intermediate calculations to 4 decimal places. Round your answer to 3 decimal places.) zcalc_______ (b) Find the p-value. (Round your answer to 4 decimal places.) p-value ______