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 meantemperature of humans is less than 98.6°F. They measured the temperatures of 56 healthy adults 1 to 4 times daily for 3 days, obtaining 250 measurements. Thesample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1°FE. Use the P-value approach to conduct a hypothesis test to judge whetherthe mean temperature of humans is less than 98.6°F at the a= 0.01 level of significance.State the hypotheses.Ho-V98.6°FH4v 98.6°F

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Answered: It has long been stated that the mean…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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I also need the standardized test statistic and whether it's required to reject or fail to reject the hypothesis and interpret the decision in the context of the original claim
A sample of 100 observations from a normal population has a mean of 50 and a standard deviation of 10. The null hypothesis is that the population mean is equal to 48, and the alternative hypothesis is that the population mean is greater than 48. Using a significance level of 0.05, what is the decision and conclusion of the hypothesis test?
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…
Carl Wunderlich reported that the mean temperature of humans is 98.6F. TO test this long-held belief, medical researchers measured the temperature of 36 randomly selected healthy adults. The sample data resulted in a sample mean of 98.2F and a population standard deviation of 0.6F. Assuming that the population is normal, test whether the mean temperature of humans is different from 98.6F at the 5% significance level. a) Find the p-value. b) State the decision and the conclusion in the context of the problem c) Calculate a 95% confidence interval for the population mean and interpret your interval in the context of this problem
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 98.4°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 oa = 0.01 level of significance. State the hypotheses. Ho: H = 98.6°F H1: H < 98.6°F Find the test statistic. tn = - 3.00 (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)
Using traditional methods, it takes 10.4 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 10.8 hours with a standard deviation of 1.9. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. State the null and alternative hypotheses. E Keypad E Tables Keyboard Shortcuts Answer "H Submit Answer O 2021 Hawkes Learning search 31°F Clear ^ E %96
The heights are measured for a simple random sample of 9 supermodels. They have a mean of 7 = 70.0 inches and a standard deviation of s = 1.5 inches. A data set of 40 randomly selected women who are not supermodels has a mean of z = 63.2 inches and a standard deviation of s = 1.27 inches. Use a 0.01 significance level to test the claim that the mean height of supermodels is greater than the mean height of women who are not supermodels.
A random sample of 100 pumpkins is obtained and the mean circumferenceis found to be 40.5 cm and standard deviation 1.6 cm. Use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm.
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 )
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 11 bag sample had a mean of 428 grams with a standard deviation of 26. Assume the population normally distributed. A level of significance of 0.05 will be used. Specify the type of hypothesis test.
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
Using traditional methods, it takes 11.7 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 11.3 hours with a standard deviation of 1.4 A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis. Is it reject null hypothesis or fail to reject null hypothesis

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