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
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- A study revealed that the average time for a university graduate to find a job was 7.4 months, with a standard deviation of 1.35 months. Determine a 90% confidence interval for the mean time to find a job if a sample of 64 graduates was surveyed.For a new study conducted by a fitness magazine, 280 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 240 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 2385.7 calories daily with a standard deviation of 210. During the March-August period, participants consumed a mean of 2414.3 calories daily with a standard deviation of 285. 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 u, -u,, the difference between the mean daily calorie consumption u, of females in September-February and the mean daily calorie consumption u, of females in…A credit bureau analysis of undergraduate students' credit records found that the average number of credit cards in an undergraduate's wallet was 4.06. It was also reported that in a random sample of 134 undergraduates, the sample mean number of credit cards that the students said they carried was 2.5. The sample standard deviation was not reported, but for purposes of this exercise, suppose that it was 1.2. Is there convincing evidence that the mean number of credit cards that undergraduates report carrying is less than the credit bureau's figure of 4.06?
- 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 200 students who completed this core set of courses results in a mean math score of 23.8 on the college entrance exam with a standard deviation of 3.6. 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 math portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: versus H,: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 23.2 on the college entrance exam with a standard deviation of 3.7. 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. Click the icon to view the table of critical t-values. ... (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are H,: versus H,: (Type integers or decimals. Do not round.) (b) Verify that the requirements to perform the test…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 4
- 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 150 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 3.7. 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 math portion of the exam? Complete parts a) through d) below. b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students were randomly sampled. B. The students' test scores were independent of one another. C. The sample size is larger than 30. D. None of the requirements are satisfied.Suppose that an independent research company was tasked with testing the validity of complaints against a pesticide manufacturing firm for under-filling their 20 lb bags of pesticide. Past experience has shown that the amount of pesticide dispensed by the machines that fill the bags follows a normal distribution with a mean of 20 lb and a standard deviation of 0.6 lb. To verify the validity of the complaints, a researcher randomly selected 16 of the firm's 20 lb pesticide bags and recorded the following weights. 19.69, 19.5, 18.85, 18.56, 20.23, 20.3, 20.14, 19.11, 19.65, 18.87, 19.22, 19.24, 18.82, 20.23, 20.46, 18.66 If you wish, you may download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc The mean weight of the 16 bags collected was 19.471 lb. Calculate the value of the one-sample z- statistic. Give your answer precise to three decimal places.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 200 students who completed this core set of courses results in a mean math score of 23.4 on the college entrance exam with a standard deviation of 3.9. 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. The appropriate null and alternative hypotheses are H: V versus H, b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. O A. The sample data come from a population…
- Historically, evening long-distance calls from a particular city have averaged 15.1 minutes per call. In a random sample of 37 calls, the sample mean time was 13.3 minutes. Assume the standard deviation is known to be 5 minutes. Using a 0.05 level of significance, is there sufficient evidence to conclude that the average evening long-distance call has decreased?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.)
