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 150 students who completed this core set of courses results in a mean math score of 20.5 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 20 on the mathematics portion of the exam? Complete parts a) through d) below. The appropriate null and alternative hypotheses are Ho versus H, VV b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students' test scores were independent of one another. B. The sample data come from a population that is approximately normal. C. The sample size is larger than 30. D. A boxplot of the sample data shows no outliers E. The students were randomly sampled. F. None of the requirements are satisfied =) Use the P-value approach at the a=0.10 level of significance to test the hypotheses in part (a) dentify the test statistic =(Round to two decimal places as needed.) entify the P-value. value= (Round to three decimal places as needed.) Write a conclusion based on the results. Choose the correct answer below. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 20.

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 USA based cable broadband company wants to investigate whether it's east coasts customers have a higher average customer satisfaction score than compared to it's west coast customers. The customer survey asks for a score between 1 and 5, with 1 being poor and 5 being excellent. 174 east coast customers are surveyed, and the sample mean is 3.35 with a sample standard deviation of 0.51. For the west coast, 355 customers are surveyed, and the sample mean is 3.24 with a sample standard deviation of 0.52.

The manager of the shipping department of a mail-order operation located in New York advertises that the length of time it takes for customers in California to receive their orders is 8 days. However, the office has been receiving complaints from customers in California stating that orders do not arrive in time advertised. To learn more about this potential problem, the manager chose a random sample of 15 orders. The sample mean of delivery times was 12.25 days. The sample standard deviation was 3.67 days.The average time it takes for all California customers to receive their orders is to be estimated with a 99% confidence interval.  a. The ? − or ? −value that should be used to construct this interval is b. The margin of error is equal to