6. Suppose a team of biologists has been studying the Pinedale children's fishing pond. Let x represent thelength of a single trout taken at random from the pond. This group of biologists has determined that x has anormal distribution with mean u = 10.2 inches and standard deviation o = 1.4 inches.a) What is the probability that a single trout taken at random from the pond is between 8 and 12 inches long?That's find P(8 < x < 12)b) What is the probability that the mean length x of five trout taken at random is between 8 and 12 inches long?That's find P(8

Given that. X~N( μ , ?^2 ) μ=10.2 , ?=1.4 Z-score =( x - μ )/?

Answered: 6. Suppose a team of biologists has…

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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Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.8 with sample standard deviation s = 3.5. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (a) What is the level of significance? State the null and alternate hypotheses. H0: ? ≠ 7.4; H1: ? = 7.4H0: ? = 7.4; H1: ? ≠ 7.4 H0: ? = 7.4; H1: ? > 7.4H0: ? = 7.4; H1: ? < 7.4H0: ? > 7.4; H1: ? = 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and ? is known.The Student's t, since the sample size is large and ? is…
Suppose that the blood pressure of the human inhabitants of a certain Pacific island is distributed with mean, μ = 90 mmHg and standard deviation , σ = 8 mmHg. According to Chebyshev's Theorem, at least what percentage of the islander's have blood pressure in the range from 74 mmHg to 106 mmHg ?
2. A person’s blood glucose level and diabetes are closely related. Let x be a random variable measuredin milligrams of glucose per deciliter) 1/10 of a liter) of blood. After a 12- hour fast, the random variable xwill have a distribution that is approximately normal with mean µ = 85 and standard deviation ợ = 25(Source: Diagnostic Tests with Nursing Implications, edited by S. Loeb, Springhouse Press). Note: After 50years of age, both the mean and standard deviation tend to increase. What is the probability that, for an adult(under 50 years old) after 12- hour fast? (a) X is more than 60? (b) X is less than 110? (c) X is between 60 and 110?
A population has a meanu= 157 and a standard deviation o= 27. Find the mean and standard deviation of the sampling distribution of sample means with sample size n= 54. The mean is µ; = |, and the standard deviation is o; = (Round to three decimal places as needed.)
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 13 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with ? = 0.20 gram. (d) Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.06 for the mean weights of the hummingbirds. (Round up to the nearest whole number.) ____________ hummingbirds
A person's level of blood glucose and diabetes are closely related. Let x be a random variablemeasured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a12-hour fast, the random variable x will have a distribution that is approximately normal withmean μ = 84 and standard deviation of σ = 26 What is the probability that, for an adult after a12-hour fast, x is less than 81? Group of answer choices 0.546 0.454 0.023 0.273 0.227
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.5 with sample standard deviation s = 3.0. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. What is the value of the sample test statistic? (c) Estimate the P-value. Sketch the sampling distribution and show the area corresponding to the P-value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the…
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with sample standard deviation s = 3.0. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (A) What is the value of the sample test statistic? (Round your answer to three decimal places.) (B) Find the P-value. (Round your answer to four decimal places.)
A random sample of size 25 is to be taken from a population that normally distributed with mean 60 and standard deviation of 10. The mean sample of observation in our sample is to be computed. The sampling distribution of x ___ A. is Normal with mean 60 and standard deviation 2. B. has unknown shape with mean 60 and standard deviation of 2 C. is approximately Normal with mean 60 and standard deviation 10. D. is Normal with mean 60 and standard deviation 10.
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.8 with sample standard deviation s = 3.1. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. a) What is the level of significance? b) What is the value of the sample test statistic? (Round your answer to three decimal places.)
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.4 with sample standard deviation s = 2.5. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. What is the level of significance: 0.05 H0: ? = 7.4; H1: ? ≠ 7.4 What is the value of the sample test statistic? (Round your answer to three decimal places.)
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with sample standard deviation s = 3.5. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. What is the level of significance?

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