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 u = 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 = 8.7 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. O Ho: H = 7.4; H,:H<7.4 O Ho: H > 7.4; H;: µ = 7.4 O Ho: H = 7.4; H;:u#7.4 O Ho: H = 7.4; H;: µ > 7.4 O Ho: H#7.4; H: H = 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is known. The standard normal, since the sample size is large and o is unknown. The Student's t, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and o is known.

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 u = 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 = 8.7 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. O Ho: H = 7.4; H,:H<7.4 O Ho: H > 7.4; H;: µ = 7.4 O Ho: H = 7.4; H;:u#7.4 O Ho: H = 7.4; H;: µ > 7.4 O Ho: H#7.4; H: H = 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is known. The standard normal, since the sample size is large and o is unknown. The Student's t, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and o is known.

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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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

How would you figure this out?

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 µ = 7.4.t 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 = 8.7 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.
O Ho: H = 7.4; H,: µ < 7.4
Ο H,: μ> 7.4; Η : μ = 7.4
O Ho: H = 7.4; H,: µ # 7.4
Ο H, : μ=7.4; H : μ > 7.4
Ho: H # 7.4; H,H = 7.4
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The standard normal, since the sample size is large and o is known.
O The standard normal, since the sample size is large and o is unknown.
O The Student's t, since the sample size is large and o is unknown.
O The Student's t, since the sample size is large and o is known.

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