X Homework 12.pdf Section IV. C. and Lab 12 Section IV. C. Questions A random sample...
A book about different colleges' reports that the mean time students at a particular university study each week is 1015 minutes. A dean says she believes the mean is greater than 1015 minutes. To test her claim, she takes a random sample of 64 students and finds that the sample mean is 1050 minutes, with standard deviation 150 minutes 4. Show that this meets the requirements for a significance test for a mean. State the null hypothesis and the alternate...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 33. At alpha=0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H0 and...
In a random sample of 1276 U.S. adults, 903 favor using mandatory testing to assess how well schools are educating students. In another random sample of 1112 U.S. adults taken 9 years ago, 799 favored using mandatory testing to assess how well schools are educating students. At α = 0.05, can you support the claim that the proportion of U.S. adults who favor mandatory testing to assess how well schools are educating students is less than it was 9 years...
A random sample of 172 marketing students was asked to rate, on a scale from 1 (not important) to 5 (extremely important), health benefits as a job characteristic. The sample mean rating was 4.06, and the sample standard deviation was 0.6. Test at the 1% significance level the null hypothesis that the population mean rating is at most 4 against the alternative that it is larger than 4. What are the null and alternative hypotheses for this test? For this...
From a sample of 37 stolen watches, you find that the mean cash value is $950. The standard deviation for your sample is $90. Test the null hypothesis that your sample came from a population whose mean cash value (Mu) is $1,000 against the alternative hypothesis that Mu is different than $1,000. Use alpha = .05. Formally state the alternative and the null hypothesis for this test (3 pts) What is the critical value(s) for this test? (3 pts) Compute...
From a sample of 37 stolen watches, you find that the mean cash value is $950. The standard deviation for your sample is $90. Test the null hypothesis that your sample came from a population whose mean cash value (Mu) is $1,000 against the alternative hypothesis that Mu is different than $1,000. Use alpha = .05. a. Formally state the alternative and the null hypothesis for this test b. What is the critical value(s) for this test? c. Compute and...
The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb... SOLVE PICTURE Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. 9) The health of employees is monitored by periodically weighing them in. A sample of 54 9) employees has a mean weight of 183.9 lb. Assuming that σ is known to be 121.2...
Perform hypothesis tests on the following five problems. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the hypotheses, test statistic, critical value(s), decision about the null hypothesis, and final conclusion. Claim: The mean IQ score of statistics professors is greater than 135. Sample data: n= 25, ?̅ = 137, s =15. The significance level is α = 0.05.
A random sample of size 15 is obtained from a normal population yielding a sample standard deviation of 20. Test the null hypothesis that the unknown population variance is greater than or equal to 162 versus the alternative that the unknown population variance is less than 162 using a 5% level of significance a. Set up the null and alternative hypotheses, clearly defining any unknown parameters. Note the “=” value is always in the null hypothesis. b. Find a test...
A random sample of 15 night students was taken with a sample mean GPA of 2.82 and a standard deviation of 0.05. A random sample of 17 day students was taken with a sample mean GPA of 2.79 and a standard deviation of 0.07. Test the claim that the mean GPA of night students (un) is greater than than the mean GPA of day students (up) at a = 0.10. Assume that the data come from normal populations with unequal...