A sociologist develops a test to measure attitudes about public transportation, and 25 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. Construct the 95% confidence interval for the mean score of all such subjects
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A sociologist develops a test to measure attitudes about public transportation, and 25 randomly selected subjects are given the test. Their
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- Exercise: Medical researchers conducted a study to determine whether treadmill exercise could improve the walking ability of patients suffering from claudication, which is pain caused by insufficient blood flow to the muscles of the legs. A sample of 51 patients walked on a treadmill for six minutes every day. After six months, the mean distance walked in six minutes was 370 meters, with a standard deviation of 83 meters. For a control group of 41 patients who did not walk on a treadmill, the mean distance was 330 meters with a standard deviation of 84 meters. Can you conclude that the mean distance walked for patients using a treadmill is greater than the mean for the controls? Let μ1 denote the mean distance walked for patients who used a treadmill. Use the =α0.01 level of significance and the TI-84 Plus calculator.An interactive poll found that 397 of 2,391 adults aged 18 or older have at least one tattoo. A. Construct the 95% confidence interval. Lower bound - Upper bound - B. Construct the 98% confidence interval. Lower Bound- Upper Bound-Do people walk faster in the airport when they are departing or when they are arriving? Researchers measured the walking speed of 45 departing travelers and 71 arriving travelers at Sacramento International Airport. They found that departing travelers had a mean walking speed of 256 ft/min, and arriving travelers had a mean walking speed of 241 ft/min. The standard deviation was 31 ft/min for departing travelers and 58 ft/min for arriving travelers. a. Construct a 89% confidence interval for the difference in mean walking speed between departing and arriving travelers. Round your answers to 3 decimals. Use the smallest of the two degrees of freedom. Critical value: 2* or t* Margin of Error: E = Confidence Interval: [ (Enter the positive one.) ]
- 2. A sociologist develops a test to measure attitudes about public transportation, and 20 randomly selected subjects are given the test. Their mean score is 80 and their standard deviation is 16 Construct 90% confidence interval for the mean score of all such subjects.Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 25 with a standard deviation of 4.5, while the 200 students in group 2 had a mean score of 19.6 with a standard deviation of 4.3. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, μ₁ −μ₂. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.)Several years ago, 44% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,075 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,075 surveyed, 479 indicated that they were satisfied. Construct a 95% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed. What are the null and alternative hypotheses? Ho: P versus H1: p (Round to two decimal places as needed.)
- A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 707.6. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 43 high-income individuals and found the sample mean credit score to be 718.3 with a standard deviation of 83.1. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a= 0.05 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Fill in the correct answers below. Hồn H₁: H (Type integers or decimals. Do not round.) Identify the t-statistic. to=(Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range Make a…A learn-to-type software program claims that it can improve your typing skills. To test the claim and possibly help yourself out, you and five of your friends decide to try the program and see what happens. Use the table below to construct a 99% confidence interval for the true mean change in the typing speeds for people who have completed the typing program. Let Population 1 be the typing speed before taking the program and Population 2 be the typing speed after taking the program. Round the endpoints of the interval to one decimal place, if necessary. Typing Speeds (in Words per Minute) Before After 52 47 44 42 40 46 50 43 46 34 38 50 Lower end point upper end pointA credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. ACcording to a survey, the mean credit score is 702.6. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 36 high-income individuals and found the sample mean credit score to be 713.5 with a standard deviation of 83.3. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Ho: H H: p (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. V the null hypothesis.…
- A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 702.5. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 39 high-income individuals and found the sample mean credit score to be 714.6 with a standard deviation of 84.3. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. ..... State the null and alternative hypotheses. Ho:H = 702.5 H;:H > 702.5 (Type integers or decimals. Do not round.) Identify the t-statistic. to = 0.90 (Round to two decimal places as needed.) Identify the P-value, P-value = 0.188 (Round to three decimal places as needed.) Make a conclusion regarding the…A high school counselor is interested in determining factors that contribute to high school drop out rates. One factor of interest to her is whether kids who are involved in team sports as children are less likely to drop out of high school. She surveys 41 high school graduates and finds that 30 were involved in team sports as children. She then surveys 38 high school dropouts and finds that 23 were involved in team sports as children. Construct and interpret a 90% confidence interval for the true difference between the proportions of high school graduates and dropouts who participated in team sports as children. Does this data suggest that there is a difference between these proportions at this level of confidence? Correctly round your results to the nearest tenth of a percent (one decimal place) in the intepretation of your interval.A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $195. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards? Carry out a hypothesis test using a significance level of 0.01. In USE SALT State the appropriate null and alternative hypotheses. Но: и 907 Но: и 3D 907 На: и # 907 a' O Ho: µ = 907 H: H 907 Н: и…
