The adhesive strength of medical monitoring device has a known standard deviation of 0.55 dynecm. Tests on the first five prototypes of a new model yielded the following values of adhesivestrength: 2.96, 5.67, 2.76, 1.26 and 4.21 dyne-cm'.a. What is the 95% confidence interval for the mean adhesion?b. If the manufacturer wants the confidence interval to be no wider than 0.62 dyne-cm2, how many1.observations should they take?

In this question, it has been given that,Known population standard deviation = 0.55Sample size =…

Answered: The adhesive strength of medical…

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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A coin-operated drink machine was designed to discharge a mean of 8 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 22 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 8.11 fluid ounces and 0.19 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 8 fluid ounces? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. : (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) (e)…
i only get half of it right, having trouble on this one
The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 99% confidence interval for the difference µ, - H, between in the mean recovery times for the two medications, assuming normal populations with equal variances. Medication 1 n = = 10 x, = 17 = 1.9 Medication 2 n2 = 14 X2 = Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. = 19 S2 = 1.5 .... . The confidence interval is
Here are summary statistics for randomly selected weights of newborn girls: n=36, x=3211.1g, s=689.4g. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value tα/2 used for finding the margin of error. tα/2=enter your response here (Round to two decimal places as needed.) Part 2 b. Find the margin of error. E=enter your response here g (Round to one decimal place as needed.) Part 3 c. Find the confidence interval estimate of μ. enter your response here g<μ<enter your response here g (Round to one decimal place as needed.) Part 4 d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. A. One has 95% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls. B. One has 95% confidence that the sample mean weight of newborn girls is equal to the population mean weight of…
A researcher has obtained the following scatter plot depicting the relationship between Y and X. On the graph, you can see three possible regression lines, which have a common y-intercept of bo = 35.48. Lines A, B and C cross the y-axis at coordinates (52, 106.78), (52, 66.52) and (52, 36.67), respectively. Given the confidence interval is (0.333, 1.122), choose the correct answer(s). rise Hint: Calculate slope of each line using known formula slope = run 35.48 0 Line A Line B Line C O O O 60 X 8 00 52 106.78 66.52 36.67 Select one or more: ✔a. The slope of Line A is within the confidence interval. ✓b. The slope of Line B is within the confidence interval. ✓ C. The slope of Line C is within the confidence interval.
A sample of 14 male college students consumes an average of 14.3 gallons of beer per month, with a sample standard deviation of 5.2 gallons. You can safely assume that the population of monthly beer consumption is Normally distributed. What is the margin of error for a 90% Confidence Interval for the mean? (Leave your answer to two decimal places, ex: 18.12)
A random sample of n = 16 mid-sized cars tested for fuel consumption gave a mean of x ¯ = 21.69 miles per gallon with a standard deviation of s = 2.51 miles per gallon. Assuming that the miles per gallon given by all mid-sized cars have a normal distribution, find a 99 % confidence interval for the population mean, μ .Round your answers to two decimal places.
Preliminary analyses indicate that you can consider the assumptions for using nonpooled t-procedures satisfied. Researchers obtained the following data on the number of acute postoperative days in the hospital using the dynamic and static systems. Obtain a 90% confidence interval for the difference, μ₁ −μ₂, between the mean numbers of acute postoperative days in the hospital with the dynamic and static systems. (Note: x₁ = 7.42, s₁ = 1.38, x₂ = 11.67, and s2 = 4.68) The 90% confidence interval is from to (Round to three decimal places as needed.) 8 7 10 Dynamic 4 8 7 8 60 00 8 8 Static 14 6 8 9 13 7 9 19
A coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 9 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 6.77 fluid ounces and 0.27 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, μ, differs from 7 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₁ : μ = 7 H₁ μ‡7 (b) Determine the type of test statistic to use. Degrees of freedom: (c) Find the value of the test statistic. (Round to three or more decimal places.) t (d) Find the p-value. (Round to three or…
Find the a/2 ( the area in one tail outside of the confidence interval) and the critical value z a/2 necessary to construct an 80% confidence interval.

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