A data set includes 107 body temperatures of healthy adult humans having a mean of 98.7°F and a standard deviation of 0.72°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature?Click here to view a t distribution table.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.---What is the confidence interval estimate of the population mean μ?[ ] °F < μ < [ ] °F(Round to three decimal places as needed.) The image features three graphs on the left and a table on the right. Here's a detailed transcription and explanation:### Graphs1. **Left Tail Graph:** - This graph represents the left tail of a t-distribution. - The critical value is indicated at the left tail with a negative sign (α).2. **Right Tail Graph:** - This graph represents the right tail of a t-distribution. - The critical value is indicated at the right tail with a positive sign (α).3. **Two Tails Graph:** - This graph shows a two-tailed t-distribution. - Critical values are located on both tails, indicated with negative and positive signs (α/2).### TableThe table displays "t Distribution: Critical t Values" based on degrees of freedom and various significance levels. It is structured into several columns and rows:- **Columns:** - The first column: "Degrees of Freedom" - Subsequent columns under "Area in One Tail": 0.005, 0.01, 0.025, 0.05, 0.10 - The area in "Two Tails" is half of the one tail; this is calculated as (2*) 0.005, 0.01, 0.025, 0.05, 0.10.- **Rows:** - Lists degrees of freedom from 1 to 30, followed by 40, 60, 120, and 1000.For example:- For 1 degree of freedom and an area of 0.05 in one tail, the critical t value is 6.314.- For 10 degrees of freedom and an area of 0.025 in two tails, the critical t value is 2.228.This table is used to determine the critical t values for conducting hypothesis tests and constructing confidence intervals in statistics.

Answered: ck here to view a t distribution table.…

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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Qu The test statistic of z = 1.98 is obtained when testing the claim that p 0.572. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject Ho or should we fail to reject H,? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a test. b. P-value = (Round to three decimal places as needed.) %3D c. Choose the correct conclusion below. O A. Fail to reject Ho. There is sufficient evidence to support the claim that p #0.572. B. Reject Ho. There is sufficient evidence to support the claim that p # 0.572. O C. Reject Ho. There is not sufficient evidence to support the claim that p#0.572. D. Fail to reject Ho. There is not sufficient evidence to support the claim that p 0.572.
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ASK YOUR TEACHER PRACTICE ANOTH The method of tree-ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1,222 1,180 1,243 1,187 1,268 1,316 1,275 1,317 1,275 n USE SALT (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to four decimal places.) X = A.D. S = yr (b) When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal plāces.) t = What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number.) E = Find a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. (Round your answers to the nearest whole number.) lower limit A.D. upper limit A.D. Need Help? Watch It…
Pulse Rates of Males Refer to Data Set 1 “Body Data” in Appendix B and use the pulse rates of males. a. Find the mean and standard deviation, and verify that the pulse rates have a distribution that is roughly normal. b. Treating the unrounded values of the mean and standard deviation as parameters, and assuming that male pulse rates are normally distributed, find the pulse rate separating the lowest 2.5% and the pulse rate separating the highest 2.5%. These values could be helpful when physicians try to determine whether pulse rates are significantly low or significantly high.
Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
J 1
← # Use technology to construct the confidence intervals for the population variance o2 and the population standard deviation o. Assume the sample is taken from a normally distributed population. c= 0.99, s=31, n = 15 The confidence interval for the population variance is). (Round to two decimal places as needed.)
In estimation, data from the population is used to estimate the population parameters the mean of the population equals to the mean of the sample data form the sample is used to estimate the sample statistics O data from the sample is used to estimate the population parameters
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K A person's body mass index (BMI) is computed by dividing the weight (kg) by the square of height (m). The accompanying table contains the BMI statistics for random samples of males and females. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be females. Complete parts (a) through (c) below. Click the icon to view the table of statistics. D. Ho: H1 H2 H₁: H1 H2 Statistics Female BMI: n = 70 x=29.35 S=7.18 Male BMI: n=82 x=28.45 S=5.53 The test statistic is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. the null hypothesis. There Print Done sufficient evidence to warrant rejection of the claim that females and males have the same mean BMI. b. Construct a confidence interval appropriate for testing the claim in part (a). The % confidence interval…
Which statements regarding the mean and standard deviation are TRUE? I. As the number of measurements increases, approaches µ if there is no random error. II. The square of the standard deviation is the average deviation. III. The mean is the center of the Gaussian distribution. IV. The standard deviation measures the width of the Gaussian distribution. I and II ○ III and IV ○ II, III, and IV O I, III, and IV O I, II, and IV
Construct a confidence interval of the population proportion at the given level of confidence. x= 120, n = 1200, 96% confidence Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). The lower bound of the confidence interval is. (Round to three decimal places as needed.) Part 1 of 2

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ck here to view a t distribution table. ck here to view page 1 of the standard normal distribution table. ck here to view page 2 of the standard normal distribution table. at is the confidence interval estimate of the population mean μ?