Suppose that we wish to test the hypothesesHo : μ = 75H₁ : μ # 75for scores on a test using an a = 0.01 level of significance, when it is known that o = 5. Find the sample sizerequired if the power of our test is to be 0.90 when the true mean is 69.O 101915O 2011 A sample of the thickness (in hundreths of an inch) of 15 pieces of Fruit Flavored Bubble Gum yielded asample mean of 6.841 and a standard deviation of 0.155. A second independent sample of thethickness of 10 pieces of Fruit Flavored Gum yielded a sample mean of 6.701 and standard deviation of0.108. A researcher claims that Fruit Flavored Bubble Gum should be thicker on average than FruitFlavored Gum because bubble gum has more elasticity than regular gum. Assume both distributions arenormally distributed.Which test statistic is appropriate for testing the researcher's claim?O t':O=t =O ťt' =O t =O2 =(1-T₂)-do/s/n₁+82/12C-140S√n(T1-T2)-do/o/n₁+02/n2(1-2)-do8p√√/1/n₁+1/n₂x-Hoo/√n

Let x1 denote the sample of thickness for the Bubble Gum and x2 denote the sample of thickness for…

Answered: A sample of the thickness (in hundreths…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: OHO: HF = HT H₁: HF HT O H₁: HF = HT H₁: PF PT t O Ho: PF = PT H₁: PF PT b) Determine the test statistic. Round to two decimals. c) Find the p-value and round to 4 decimals. p= d) Make a decision. O Reject the null hypothesis O Fail to reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college. O There is sufficient evidence to support the claim that enrollement is high at a four-year…
A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level.a) The null and alternative hypothesis would be: �0:��=��1:��>�� 0:��=��1:��≠�� 0:��=��1:��>�� 0:��=��1:��<�� 0:��=��1:��≠�� 0:��=��1:��<�� b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p =
A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 6,192 with a standard deviation of 699. Of the 35 two-year colleges surveyed, the mean enrollment was 4,354 with a standard deviation of 781. Test the student's claim at the 0.1 significance level. Determine the test statistic. Round to four decimal places.t=_________ Find the pp-value. Round to 4 decimals.p-value = _________
A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two- year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 6,954 with a standard deviation of 598. Of the 35 two-year colleges surveyed, the mean enrollment was 4,668 with a standard deviation of 606. Test the student's claim at the 0.01 significance level. Preliminary: a. Is it safe to assume that N4yr 30 and n2yr 30 ? O No Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: HAyr ? v H2yr Ha: H4yr ? v H2yr b. Determine the test statistic. Round to four decimal places. t c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Reject the null hypothesis. OFail to reject the null hypothesis. e. Write the conclusion. O There is sufficient evidence to support the claim that enrollement is higher at a four-year college than a two-year college. O There is not sufficient evidence to…
A pharmaceutical company needs to know if its new cholesterol drug, Praxor, is effective at lowering cholesterol levels. It believes that people who take Praxor will average a greater decrease in cholesterol level than people taking a placebo. After the experiment is complete, the researchers find that the 4848 participants in the treatment group lowered their cholesterol levels by a mean of 21.521.5 points with a standard deviation of 2.52.5 points. The 4040 participants in the control group lowered their cholesterol levels by a mean of 20.920.9 points with a standard deviation of 4.14.1 points. Assume that the population variances are not equal and test the company’s claim at the 0.100.10 level. Let the treatment group be Population 1 and let the control group be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places. step 3 of 3 : Conclusion- fail to reject/reject...insufficient/sufficient
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A food company claims that their packets of chips have an average weight of 50g. A consumer advocacy group takes a random sample of 25 packets and finds that the average weight is 49.8g with a standard deviation of 0.9g. Can the consumer advocacy group reject the claim of the food company at a significance level of 0.05?
A tire company claims that the lifetimes of its tires average 50,000 miles. The standard deviation of tire lifetimes is known to be 5,261 miles. You sample 100 tires and will test the hypothesis that the mean tire lifetime is at least 50,000 miles against the alternative that it is less. Assume, in fact, that the true mean lifetime is 49,545 miles. It is decided to reject Ho if the sample mean is less than 48,894. Find the level and power of this test. 0 Round your answers to four decimal places. Level of the test = Power of the test =
A private college in Ohio wishes to determine whether or not students living on campus have similar GPA’s to commuter students. They survey 120 resident students and find an average GPA of 2.82, with a sample standard deviation of .71. They also survey 90 commuter students and find an average GPA of 2.65, with a sample standard deviation of .58. Test the claim that resident students and commuter students have the same average GPA, against the alternative that these GPA’s differ, using a = .02.
It is said that a person’s height changes from morning to night, possibility in response to gravity compressing the spinal columns and the joints in the legs. The height of 14 persons (an equal number of men and women) were measured in the morning and at night and it was discovered that the average height in the morning was 1.750 m and 1.735 m. The mean change in height was 1.5 cm with a sample standard deviation of 3 cm. Any height change in the human population is known to be distributed normally. Is it correct to say that the true average change in height from morning to night is 2.5 cm with a significance level of 0.1)?

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