Here are summary statistics for randomly selected weights of newborn girls: n = 36, \( \overline{x} = 3216.7 \) g, s = 688.5 g. Use a confidence level of 99% to complete parts (a) through (d) below.---**a. Identify the critical value \( t_{\alpha/2} \) used for finding the margin of error.**\( t_{\alpha/2} = \_\_ \)(Round to two decimal places as needed.)---**b. Find the margin of error.**\( E = \_\_ \) g(Round to one decimal place as needed.)---**c. Find the confidence interval estimate of \( \mu \).**\( \_\_ \) g \( < \mu < \) \_\_ g(Round to one decimal place as needed.)---**d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.**- A. One has 99% confidence that the sample mean weight of newborn girls is equal to the population mean weight of newborn girls.- B. Approximately 99% of sample mean weights of newborn girls will fall between the lower bound and the upper bound.- C. One has 99% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls.- D. There is a 99% chance that the true value of the population mean weight of newborn girls will fall between the lower bound and the upper bound.

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Answered: Here are summary statistics for…

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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Is the data accurate (mean = 97% of true value or 2% error) or precise (sd < 0.1)? If not, give ONE possible source of error.
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights of the seals (in kg). The purpose of the study was to determine if weights of seals could be determined from overhead photographs. Is there sufficient evidence to conclude that there is a correlation between overhead widths and the weights of the seals? Use a significance level of α=0.05. a. Determine rs. rs= (Round to three decimal places as needed.) b. Determine the critical values. Critical values are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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 lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 16 days. Using a TI 84 graphing calculator, Round to whole numbers and label. How many days in a pregnancy is located at the 45th percentile? Be sure to show calculator commands used
Use the following data set to answer Questions #12 and #13. 65 55 65 54 60 57 55 58 63 58 57 65 57 58 84 Are there any outliers? There exists at least one outlier in the data set at 84. There exists outliers in the data set at 55 and 84. O There are no outliers in the data set.
A study was undertaken to determine whether there was a significant weight (in lb) loss after one year course of therapy for diabetes, and whether the amount of weight (in lb) loss was related to initial weight. The following table gives the initial weight (x) and weight after one year of therapy (y) for 16 newly diagnosed adult diabetic patients. a. Is a one-sided or two sided test needed here? b. What is the mean weight for each time period? c. What is the standard deviation for each time period? d. Which statistical test is appropriate to use on these data? e. Carry out the hypothesis test(s) in question in above d. Use α=0.01 f. Are the means statistically different? g. Find the 99% confidence interval for the difference of the two means on weight. Interpret your finding.
People were polled on how many books they read the previous year. Initial survey results indicate that s = 14.3 books. Complete parts (a) through (d) below. Click the icon to view a partial table of critical values. (a) How many subjects are needed to estimate the mean number of books read the previous year within four books with 90% confidence? This 90% confidence level requires 35 subjects. (Round up to the nearest subject.) (b) How many subjects are needed to estimate the mean number of books read the previous year within two books with 90% confidence? This 90% confidence level requires subjects. (Round up to the nearest subject.)
Reports on a student's test score such as the SAT or a child's height or weight usually give the percentile as well as the actual value of the variable. The percentile is just the cumulative proportion stated as a percent: the percent of all values of the variable that were lower than this one. The upper arm lengths of females in the United States are approximately Normal with mean 35.735.7 cm and standard deviation 2.12.1 cm, and those for males are approximately Normal with mean 39.139.1 and standard deviation 2.32.3 cm. Larry, a 6060‑year‑old male in the United States, has a upper arm length of 37.837.8 cm. What is his percentile? (Enter your answer rounded to two decimal places.)
Suppose that you had collected the following sample data (in inches) on the diameters of tree trunks, measured at waist level and growing at 2000’ elevation in the Cascade Mountains: 9.0, 6.2, 6.5, 7.0, 10.5 and 8.8. The sample Inter Quartile Range is: (a) 5.5 (b) 4.5 (c) 3.5 (d) 2.5 (e) 4.0 (f) None of the above
People were polled on how many books they read the previous year. Initial survey results indicate that s = 11.9 books. Complete parts (a) through (d) below. A Click the icon to view a partial table of critical values. (a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95% confidence? This 95% confidence level requires subjects. (Round up to the nearest subject.) (b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95% confidence? This 95% confidence level requires subjects. (Round up to the nearest subject.) (c) What effect does doubling the required accuracy have on the sample size? O A. Doubling the required accuracy nearly halves the sample size. O B. Doubling the required accuracy nearly doubles the sample size. O C. Doubling the required accuracy nearly quarters the sample size. O D. Doubling the required accuracy nearly quadruples the sample size. (d)…
You would like to make an interval estimate of a population mean from a sample of size 25. Assume the population standard deviation is 6. Assuming 98% Confidence, what is the margin for error for the estimate.
Consider a sample data set with the summary statistics s= 112, Q = 58, and Q, =203. %3D a. Calculate IQR. b. Calculate IQR/s. c. Is the value of IQR/s approximately equal to 1.3? What does this imply? a. IQR =

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