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 44 healthy adults 1 to 4 times daily for 3 days, obtaining 200 measurements. Thesample data resulted in a sample mean of 98.2°F and a sample standard deviation of 0.9°E. 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.Но= 98.6°F98.6 FFind the test statistic.to = -6.29(Round to two decimal places as needed.)The P-value is(Round to three decimal places as needed.)

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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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The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita of oranges is 19.2 with a standard deviation of 4 pounds. what annual per capita consumption of oranges represents the 5th percentile?
On a standardized exam, the scores are normally distributed with a mean of 350 and a standard deviation of 20. Find the z-score of a person who scored 400 on the exam.
Assume blood glucose levels are normally distributed with a mean of 80 mg/dL and a standard deviation of 35 mg/dL. The normal range for blood glucose is considered to be 65-120 mg/dL. Values in the range 120-180 mg/dLare considered high and values greater than 180 mg/dL considered abnormal. what is the percentile for someone with a value of 135 mg/dL
The mean systolic blood pressure for white males aged 35-44 in Canada is U. A report said that the mean blood pressure and standard deviation of a sample of 13 diabetic males aged 35-44 are 128.53 and 7.59, respectively. Let μ denote the true mean systolic blood pressure for diabetic males aged 35-44. H0: μ = 126.38 versus Ha: μ > 126.38 What is the p-value? A.) 0.836 B.) 0.327 C.) 0.418 D.) 0.164
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
The standard deviation of pulse rates of adult males is less than 10 bpm. For a random sample of 144 adult males, the pulse rates have a standard deviation of 9.1 bpm. Find the value of the test statistic.
Steel rods are manufactured with a mean length of 25 centimeters. Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08cm. Any rods that are shorter than 24.81cm or longer than 25.19cm are discarded. What proportion of the rods will be discarded?
A random sample of 100 observations from a quantitative population produced a sample mean of 28.0 and a sample standard deviation of 6.5. Use the p-value approach to determine whether the population mean is different from 31.
A researcher believes the mean weight of males sulcata tortoises is more than 205 pounds. She samples 18 males sulcatas and find their mean to be 216.2 pounds with a standard deviation of 13.5pounds. Find the p-value p =
The time to smoke fish is normally distributed with an average of 5.3 hours and a standard deviation of 2.1 hours. What is the z score for a fish that take 10 hours to smoke?
The average high-density lipoprotein (HDL) cholesterol level of adult females is 53 milligrams per deciliter. You want to determine whether the true mean female HDL cholesterol level is more than the average. You decide to pull a random sample of 12 adult females and measure their HDL cholesterol level. You find the sample mean is 54.1 milligrams per deciliter and the standard deviation is 1.78 milligrams per deciliter. What are the test statistic and the p-value? O The test statistic is 2.14 and the p-value is 0.0278. O The test statistic is 0.0278 and the p-value is 2.14. O The test statistic is 1.1 and the p-value is 0.0278. O The test statistic is 0.0278 and the p-value is 1.1. O The test statistic is 0.51 and the p-value is 2.14.

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