A simple random sample from a population with a normal distribution of 104 body temperatures has \(\bar{x} = 98.40^\circ F\) and \(s = 0.69^\circ F\). Construct a 95% confidence interval estimate of the standard deviation of body temperature of all healthy humans.Click the icon to view the table of Chi-Square critical values.\[ \Box^\circ F < \sigma < \Box^\circ F \](Round to two decimal places as needed.)There is a prompt to get more help or to clear all inputs.

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Answered: A simple random sample from a…

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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Claim: The mean systolic blood pressure of all healthy adults is less than than 121 mm Hg. Sample data: For 272 healthy adults, the mean systolic blood pressure level is 120.59 mm Hg and the standard deviation is 15.61 mm Hg. The null and alternative hypotheses are Ho: I = 121 and H,: I< 121. Question: Find the value of the test statistic.
You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of T = 74 hours. The population standard deviation is known to be 5.8 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 90% level of confidence. How many more bacteria should you sample to achieve a 0.5 hour margin of error? n bacteria %3D
Please give a detailed explanation, not just the answer. Thanks in advance! The average American consumes 91 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 10 randomly selected college students and found that they averaged 72.8 liters of alcohol consumed per year with a standard deviation of 20 liters. What can be concluded at the α = 0.01 level of significance? The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ α
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=62.5σ=62.5. You would like to be 95% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required? Round up to nearest whole number.
The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=38.7σ=38.7. You would like to be 98% confident that your estimate is within 5 of the true population mean. How large of a sample size is required?
Babies: A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of 4.3 pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is greater than 7 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance.
Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per serving. We want to test this hypothesis and to see whether we believe that is true or that the mean amount of fiber is significantly different from 3 grams. A random sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the sample standard deviation in the amount of fiber, s = .8 grams. %3D Assume that software has determined the p-value to be.02. Carry out the test at the 5% level of significance. Be sure to state your decision rule and your decision for the test. O Fail to Reject the null hypothesis since the p-value is .05 O Fail to Reject the null hypothesis since the p-value is > .05
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=74.5σ=74.5. You would like to be 98% confident that your estimate is within 2.5 of the true population mean. How large of a sample size is required?n =
A random sample of 15 exam scores showed a standard deviation of 6.0 points. Find the 95 percent confidence interval for the population standard deviation. Use Appendix E to obtain the values of χ2LχL2 and χ2UχU2 . (Round your answers to 2 decimal places.) The 95% confidence interval is from ______ to __________ .
Research suggests a link between mothers alcohol consumption with the birth weight of newborns. Random sampke of 100 mothers who drank during pregnancy, average birth weight od their babies is 7.2 lbs. Average birth weight nationwide is 7.8 lbs. And standard deviation is 1.56. Do mothers who drink have babiea that are significantly smaller compared to nationwide? Use alpha = 01. A. State the null abd the research hypothesisB. Identify the critical values of z or t used to define the decision ruleC. Calculate the test statisticD. Report the p-valueE. Report your findings
75 specimens of the new chip were tested and 67 specimens of the old chip were tested. The average speed, in MHz, for the new chips was 494.9 and the standard deviation was 19.3. The average speed of the old chips was 485.8 and the standard deviation was 16.7. Suppose we wish to test Ho : Hx - Hy = 0 versus H1 : Hx - Hy # 0. Calculate the z-score. (answers are considered correct if they're within 5% of the correct value)

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