It is desired to obtain a 95% confidence interval for the mean time µ= 120 minutes to take the mathematics exam for UPN students. A random sample of 16 students produces a mean and standard deviation of 115 and 8.6 minutes, respe
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It is desired to obtain a 95% confidence interval for the mean time µ= 120 minutes to take the mathematics exam for UPN students. A random sample of 16 students produces a mean and standard deviation of 115 and 8.6 minutes, respectively.
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- A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 23.7 on the college entrance exam with a standard deviation of 3.5. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the mathematics portion of the exam? Complete parts a) through d) below. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. versus H₁ The appropriate null and alternative hypotheses are Ho h 4For a new study conducted by a fitness magazine, 220 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 260 females was chosen independently of the first. For each of them, the mean daily calorie consumption was calculated for a March-August period. During the September-February period, participants consumed a mean of 2385.8 calories daily with a standard deviation of 218. During the March-August period, participants consumed a mean of 2414.2 calories daily with a standard deviation of 267.5. The population standard deviations of daily calories consumed for females in the two periods can be estimated using the sample standard deviations, as the samples that were used to compute them were quite large. Construct a 90% confidence interval for −μ1μ2, the difference between the mean daily calorie consumption μ1 of females in September-February and the mean daily calorie consumption μ2 of females…A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 24.3 on the college entrance exam with a standard deviation of 3.2. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 24 on the math portion of the exam? Complete parts a) through d) below. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho versus H,: ▼ Enter your answer in the edit fields and then click Check Answer. Clear All Check Answer parts 4 remaining MacBook Alir DD 111 80 888 7 FS F4 esc F2 F3 F1 $ delet @…
- A researcher selected a sample of 156 former student leaders from a list of graduates of a large university. She discovered that it had taken an average of 4.97 years for the graduates to finish their degrees, with a standard deviation of 1.23. The average for the entire student body is 4.56 years. Is the difference statistically significant? Alpha = 0.05; two-tailed test.A college entrance exam company determined that a score of 21 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 21.7 on the college entrance exam with a standard deviation of 3.4. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 21 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. ... The/studentsyere randony ampled. eampleata ne froaopu lato that is approximately normal. le students test sc es were hdependetbhe another. F. None of he requirements are satişfied. ((c) Yse the P-value approach at the a = 0.10 level of significance to test…A college entrance exam company determined that a score of 21 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 21.2 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 21 on the math portion of the exam? Complete parts a) through d) below. iueiuiy uie LUSI SiauSuc. to = 0.96 (Round to two decimal places as needed.) Identify the P-value, P-value = (Round to three decimal places as needed.)
- A marine biologist claims that a harbor seal's average dive time is at least 5.8 minutes. A random sample of 35 dive durations has a mean of 4.9 minutes and a standard deviation of 1.8 minutes. Is there enough evidence to reject the claim at a = 0.01?A randomized controlled trial is run to evaluate the effectiveness of a new drug for asthma in children. A total of 250 children are randomized to either the new drug or a placebo (125 per group). The mean age of children assigned to the new drug is 12.4 with a standard deviation of 3.6 years. The mean age of children assigned to the placebo is 13.0 with a standard deviation of 4.0 years. Suppose that there are 63 boys assigned to the new drug group and 58 boys assigned to the placebo group. Is there a statistically significant difference in the proportions of boys assigned to the treatments? Run the appropriate test at a 5% level of significance.A college entrance exam company determined that a score of 20 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 20.3 on the college entrance exam with a standard deviation of 3.4. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test using the t-distribution are satisfied. Select all that apply. A. The students' test scores were independent of one another. B. The students were randomly sampled. C.…