It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than98.6°F. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.4°F and a samplestandard deviation of 1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the a = 0.01 level of significance.JU.0rH,: H98.6°FFind the test statistic.to =[(Round to two decimal places as needed.)

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Answered: as long been stated that the mean…

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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Ivanna recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 120 millimeters of mercury (mmHg). Ivanna believes the value is actually higher. She bases her belief on a recently reported study of 18 randomly selected, elderly females. The sample mean systolic blood pressure was 125 mmHg, and the sample standard deviation was 22 mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.05 level of significance, can it be concluded that μ, the population mean systolic blood pressure among elderly females, is greater than 120 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 Ho ! H₁ (b)…
humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 61 It has long been stated that the mean temperature healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the a = 0.01 level of significance. State the hypotheses Họ: H 98.6°F H: H 98.6°F Find the test statistic. (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) What can be concluded? What can be concluded? A. Reject Ho since the P-value is not less than the significance level. B. Reject Ho since the P-value is less than the significance level. C. Do not reject H, since the P-value is not less than the significance level. D. Do…
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about µ = 28 ml/kg with a standard deviation of 4.75ml/kg. Red blood cells volume that is too low or too high can indicate a medical problem. Suppose he does a hypothesis test with a significance level of 0.01. Roger has had seven blood tests and the red blood cell volumes were: 32 25 41 35 30 37 29 Roger’s null hypothesis is that his blood tests are normal and that his alternative hypothesis is that something is wrong. Symbolically, the null and hypotheses are as follows Ho: µ = 28 ml/kg and Hi: µ ≠ 28 ml/kg What value of the test statistic (z) should he report? (Sampling a Normal Distribution for the Mean µ) Group of answer choices a. 0.99 b.2.42 c.2.62 d.2.22
Has the average time between telephone orders changed from 3.8 minutes, the mean of two years ago? This is the question facing a telephone mail-order company that has just started selling items based on special promotional materials. The population standard deviation from initial study was 0.5 minutes. A random sample of 100 telephone orders reveals a sample mean of 4 minutes. A significance level of 0.02 is chosen for this hypothesis test. Test the hypothesis using the p-value and choose which of the following outcomes is true. Select one: a. p-value = 0.00003, less than the significance level 0.02, reject the null hypothesis b. p-value = 0.00006, less than the significance level 0.02, reject the null hypothesis c. p-value = 0.99997, greater than the significance level 0.02, fail to reject the null hypothesis d. p-value = 0.00003, less than the significance level 0.02, fail to reject the null hypothesis
A researcher tests whether listening to music while taking an exam has any effect. The population mean of people taking an exam while not listening to music is 50, with a standard deviation of 12. The researcher tests a sample of 57 people who listen to music while taking an exam and they produce a mean of 54.36. Using a one-tailed test with a p value of .05, the critical value is -1.65 and 1.65. Make a decision about your hypothesis.
The water consumption per week by Brampton residences is normally distributed with an average of 125 gallons of water and a standard deviation of 10 gallons. The city of Brampton claims that the average water consumed in the state of Brampton is not 125 gallons. A team of AU students draws a simple random sample of 10 residences and find the mean consumption value of 120.3 gallons. Calculate the Zc and p-value showing all the steps.
A study found that the average stopping distance of a school bus traveling 50 mph was 264 feet. a group of automotive engineers decided to conduct a study of its school buses and found that for 40 buses, the average stopping distance of buses traveling 50 mph was 262.3 feet. the standard deviation of the population was 3.0 feet. test the claim that the average stopping distance of this company's buses is actually less than 264 feet. perform an appropriate hypothesis test. be sure to clearly define your parameter, check your conditions, and list all four steps of the test.study found that the average stopping distance of a school bus traveling 50 mph was 264 feet. a group of automotive engineers decided to conduct a study of its school buses and found that for 40 buses, the average stopping distance of buses traveling 50 mph was 262.3 feet. the standard deviation of the population was 3.0 feet. test the claim that the average stopping distance of this company's buses is actually less…
Among private universities in the United States, the mean ratio of students to professors is 35.2 (i.e., 35.2 students for each professor) with a standard deviation of 8.8. Suppose a random sample of 50 universities is selected and the observed mean student-to-professor ratio is 38. Is there evidence that the reported mean ratio actually exceeds 35.2? Use  = 0.05 and conduct the appropriate hypothesis test. ( See attached picture )
It has long been stated that the mean temperature of humans is 98.6 degrees F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6 degrees F. They measured the temperatures of 56 healthy adults 1 to 4 times daily for 3 days, obtaining 250 measurements. The sample data resulted in a sample mean of 98.3 degrees F and a sample standard deviation of 0.9 degrees F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6 degrees F at the alpha equals0.01 level of significance.
The average American consumes 97 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged 79.1 liters of alcohol consumed per year with a standard deviation of 19 liters. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer ✓ c. The test statistic ? v = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value =
It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 50 healthy adults 1 to 4 times daily for 3 days, obtaining 225 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 0.9°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the a = 0.01 level of significance. State the hypotheses. Ho: H = 98.6°F H,: H < 98.6°F Find the test statistic, to = (Round to two decimal places as needed.)
A researcher claimed that for people that smoke cigarettes, the average number of cigarettes smoked per day is greater than 9. To test her claim, she selected a random sample of 36 smokers and found the mean number of cigarettes smoked per day was 10. The standard deviation of the population is 2.5 cigarettes. At a = 0.05, conduct all steps of a hypothesis test to test the researcher's claim.

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