6. A psychologist believes that it will take at least an hour for certain disturbed children to learn a task. To test this hypothesis, a random sample of 25 children will be used. What appropriate hypothesis test should be used for n = 25 and σ is unknown?*A. z-testB. t-testC. f-testD. r-test
Question
6. A psychologist believes that it will take at least an hour for certain disturbed children to learn a task. To test this hypothesis, a random sample of 25 children will be used. What appropriate hypothesis test should be used for n = 25 and σ is unknown?*A. z-testB. t-testC. f-testD. r-test
Solution
The appropriate hypothesis test to use when the sample size (n) is 25 and the population standard deviation (σ) is unknown is the t-test (Option B). The t-test is used when the sample size is small (typically less than 30) and the population standard deviation is not known.
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At one school, the average amount of time that tenth-graders spend watching television each week is 18.4 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased. Formulate the null and alternative hypotheses for the study described.Question 17Answera.H0: µ = 18.4 ; H1 µ ≠18.4b.H0: µ < 18.4 ; H1 µ > 18.4c.H0: µ = 18.4 ; H1 µ <18.4d.H0: µ > 18.4 ; H1 µ <18.4
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Determine a testable hypothesis for this investigation.
Are you smarter than a second grader? A random sample of 70 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is =x55. Assume the standard deviation of test scores is =σ21. The nationwide average score on this test is 50. The school superintendent wants to know whether the second graders in her school district have greater math skills than the nationwide average. Use the =α0.05 level of significance and the P-value method with the TI-84 Plus calculator.Part 1 of 5(a) State the appropriate null and alternate hypotheses.:H0 =μ50:H1 >μ50This hypothesis test is a ▼right-tailed test.Part 2 of 5(b) Compute the value of the test statistic. Round the answer to two decimal places.z=1.9Correct Answer:=z1.99Part: 2 / 52 of 5 Parts CompletePart 3 of 5(c) Compute the P-value of the test statistic. Round the answer to four decimal places.P-value=Skip PartCheckSave For LaterSubmit Assignment
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