Homework Help is Here – Start Your Trial Now!
Math
Statistics
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.)

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.)

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
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.) S= (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.78? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: M> 4.78; H₁: μ = 4.78 H₁: μ = 4.78; H₁: μ< 4.78 Ho: M < 4.78; H₁: μ = 4.78 Ho: μ = 4.78; H₁: μ> 4.78 OH₁: M = 4.78; H₁: μ # 4.78 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution and σ is known. The Student's t, since we assume that x has a normal distribution and is unknown. O The standard normal, since we assume that x has a normal distribution and σ is unknown. The standard normal, since we assume that x has a normal distribution and o is known. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. OP-value > 0.250 0.100< P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 O P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 ^^ 4 -2 0 2 2 -4 -2 -2 0 2 2 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the x = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. 4 (e) Interpret your conclusion in the context of the application. There is sufficient evidence at the 0.05 level to conclude that the population mean RBC count for the patient is lower than 4.78. There is insufficient evidence at the 0.05 level to conclude that the population mean RBC count for the patient is lower than 4.78.
Transcribed Image Text: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.) S= (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.78? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: M> 4.78; H₁: μ = 4.78 H₁: μ = 4.78; H₁: μ< 4.78 Ho: M < 4.78; H₁: μ = 4.78 Ho: μ = 4.78; H₁: μ> 4.78 OH₁: M = 4.78; H₁: μ # 4.78 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution and σ is known. The Student's t, since we assume that x has a normal distribution and is unknown. O The standard normal, since we assume that x has a normal distribution and σ is unknown. The standard normal, since we assume that x has a normal distribution and o is known. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. OP-value > 0.250 0.100< P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 O P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 ^^ 4 -2 0 2 2 -4 -2 -2 0 2 2 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the x = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. 4 (e) Interpret your conclusion in the context of the application. There is sufficient evidence at the 0.05 level to conclude that the population mean RBC count for the patient is lower than 4.78. There is insufficient evidence at the 0.05 level to conclude that the population mean RBC count for the patient is lower than 4.78.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS