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 982°F and a sample standard deviation of 0.9°F 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 significanceState the hypotheses.Ho98.6 F98 6 F

From the given data state the hypotheses

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 mean consumption of water per household in a city was 1244 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 96 households was found to be 1164 cubic feet per month. The population standard deviation is given to be 257 cubic feet. a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaign by the city council. Would you reject the null hypothesis at a = 0.025? Round your answer to four decimal places. p-value = We i b. Make the test of part a using the critical-value approach and a = 0.025. Zobserved Round your answer for z to two decimal places. We Ho. i Ho. We conclude that the mean consumption of water per household has due to the campaign by the city council.
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
The mean consumption of water per household in a city was 1239 cubic feet per month Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 92 househoids was found to be 1157 cubic feet per month. The population standard deviation is given to be 251 cubic feet a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaipn by the city council. Would you reject the null hypothesis at a = 0.025? Round your answer to four decimal places. pvalue =i We b. Make the test of part a using the critical-value approach and a = 0.025. Round your answer for z to two decimal places. Zoberved We We conclude that the mean consumption of water per household has due to the campaign by the city council.
Use the 1odwing Wildlife: Coyotes A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be z = 2.05 years, with sample standard deviation 8 = 0.82 years (based on information from the book Coyotes: Biology, Behavior and Management by M. Bekoff, Academic Press). However, it is thought that the overall population mean age of coyotes is µ=1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. Fl in the blanks a 007 • Ho u- 175 years * H u> 176 yean QUESTION 7 What is your test statistic? (t-statistic) 2.48 QUESTION 8 What is your p-value? (Hint You will need the degrees of freedom to find the p-value.) <0.01d QUESTION 9 Do you reject the null hypothesis? O Yes No
At the alpha = 0.01 level , what is the correct conclusion for this test? The daily temperatures in fall and winter months in Virginia have a mean of 62F. A meteorologist in southwest Virginia believes the mean temperature is colder in this area. The meteorologist takes a random sample of 30 daily temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature for the sample is 59 degrees * F with a standard deviation of 6.21 degrees * F The meteorologist conducts a one -sample t-test for and calculates a P value of 0.007. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is not convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist…
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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.)
Yane is a researcher who studies bacteria. They are trying to ascertain the mean lifespan for a bacteria species. It is believed that the standard deviation of their lifespan is o = 4 hours. They would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 99% level of confidence. What sample size should they gather to achieve this? Remember your answer must be a whole number. n= bacteria
Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At=α0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. State the hypotheses and identify the claim with the correct hypothesis. :H0 =μ24 ▼not claim :H1 <μ24 ▼claim the hypothesis test is a ▼one-tailed test. Part 2 of 5 Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):
A gallon of paint claims to cover 400 sq ft. This feels too high. To test this, a research lab obtained 30 random gallons of paint and recruited 30 volunteers to each paint as much wall space as they could with a gallon, and the lab techs measured the area covered. They computed a mean of 396 sq ft with a standard deviation of 27 sq ft. They performed a test of hypothesis and computed a p-value of 0.212. What is the appropriate conclusion?
Based on a sample of 50 US citizens, the American Film Institute found that a typical American spent around 78 hours watching movies. The standard deviation of the sample is 9 hours. Develop a 95% CI for the population mean number of hours spent watching TV last year. Interpret the interval found. How large a sample should be used to be 90% confident that the sample mean is within 1 hour of the population mean?
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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