Suppose x has a distribution with a mean of 70 and a standard deviation of 44. Random samples of size n = 64 are drawn. A USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has -Select- v distribution with mean u = and standard deviation o %3D (b) Find the z value corresponding to x = 75.5. Z = 0.125 (c) Find P(x < 75.5). (Round your answer to four decimal places.) P(x < 75.5) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 75.5? Explain. O Yes, it would be unusual because more than 5% of all such samples have means less than 75.5. O No, it would not be unusual because less than 5% of all such samples have means less than 75.5. O No, it would not be unusual because more than 5% of all such samples have means less than 75.5. O Yes, it would be unusual because less than 5% of all such samples have means less than 75.5.

Suppose x has a distribution with a mean of 70 and a standard deviation of 44. Random samples of size n = 64 are drawn. A USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has -Select- v distribution with mean u = and standard deviation o %3D (b) Find the z value corresponding to x = 75.5. Z = 0.125 (c) Find P(x < 75.5). (Round your answer to four decimal places.) P(x < 75.5) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 75.5? Explain. O Yes, it would be unusual because more than 5% of all such samples have means less than 75.5. O No, it would not be unusual because less than 5% of all such samples have means less than 75.5. O No, it would not be unusual because more than 5% of all such samples have means less than 75.5. O Yes, it would be unusual because less than 5% of all such samples have means less than 75.5.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The random variable X is described by using the gamma distribution with α = 5 and λ = 1. Find the standard deviation of X.
The one in the yellow is the previous tab.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.80 ml/kg for the distribution of blood plasma. (d) Find the sample size necessary for a 99% confidence level with maximal margin of error E = 2.90 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.) ________ male firefighters
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.78. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.78? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: ? < 4.78; H1: ? = 4.78H0: ? = 4.78; H1: ? ≠ 4.78 H0: ? = 4.78; H1: ? < 4.78H0: ? = 4.78; H1: ? > 4.78H0: ? > 4.78; H1: ? = 4.78 (b) What sampling…
A population has a mean µ = 161 and a standard deviation o = 20. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 56. The mean is = μx (Round to three decimal places as needed.) and the standard deviation is o- = X 3 X
The average grade in an exam is (65 + N) and the standard deviation is 8. A grade (C) will be given between 45% and 64% of the grades received by the students. Find the required grade for the student to get (C). (Assume that the distribution of the notes is normally distributed.)
Medical Operations The director of a medical hospital feels that her surgeons perform fewer operations per year than the national average of 211. She selected a random sample of 15 surgeons and found that the mean number of operations they performed was 209.3. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at =α0.01? Assume that the population is approximately normally distributed. Use the critical value method and tables.
Assume a distribution with mean of 50 and a standard devivation of 12. For an x-value of 65, the z-score is . (two-decimal accuracy) For a z-score of -2.3, x = . (one-decimal accuracy)
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 distributedpopulations, and do not assume that the population standard deviations are equal. Let population 1 be females. Female BMI: n=69 x=29.14 s=7.41 Male BMI: n=79 x=28.18 s=5.24 The test statistic is The P-value is Construct a confidence interval appropriate for testing the claim in part (a). The ___% confidence interval estimate is ___<μ1−μ2<___.
A random sample of 16 adult male wolves from the Canadian Northwest Territories gave an average weight x₁ = 97 lb with estimated sample standard deviation s₁ = 6.7 lb. Another sample of 26 adult male 14 wolves from Alaska gave an average weight x2 = 88 lb with estimated sample standard deviation $₂ = 7.5 lb. USE SALT (a) Let u represent the population mean weight of adult male wolves from the Northwest Territories, and let μ2 represent the population mean weight of adult male wolves from Alaska. Find a 75% confidence interval for μ1-2. (Round your answers to one decimal place.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 75% level of confidence, does it appear that the average weight of adult male wolves from the Northwest Territories is greater than that of the Alaska wolves? Because the interval contains only…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 42 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 8.00 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) the distribution of volumes is uniform? is knownn is largethe distribution of volumes is normal? is unknown (c) Interpret your results in the context of this problem. We are 99% confident that the true average blood…
Let ex be a random variable that represents the hemoglobin count (HC) in human blood (measured in grams per milliliter). In healthy adult females, x has a approximately normal distribution with a population mean of 14.0 and population standard deviation equal 2.3. Suppose a female patient had 10 blood test over the past year , and the sample mean HC was determined to be 15.3. With a level of significance a= 0.05, determine whether the patient's HC is higher than the population averages. Specifically do the following: write the data state null hypothesis H0 and the alternate hypothesis H1