An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Chapter 6.3, Problem 4Q
Suppose
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It has been found that 27.6% of men (Group 1) 20 years and older suffer from hypertension
(high blood pressure) and 33.1% of women (Group 2) are hypertensive. A random sample of
169 of each gender was selected from recent hospital records, and the following results were
obtained. Can you conclude that a higher percentage of women have high blood pressure?
Use α=0.05.
Men: 39 patients had high blood pressure
Women: 54 patients had high blood pressure
Required: Test Value
Only the final answer should be rounded-off to TWO decimal places.
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A study was conducted to determine whether there is a significant difference in the population mean for two groups with a sample size of n = 10 for each group. The results from the Wilcoxon Signed-Ranks Test resulted in a T-value of 15 and a p-value of 0.03. What conclusion can we make about the population means of the two groups?
A sample set of n=16 is selected from a population with a mean of u=65 and s2=30,and a treatment is administered to the individuals in the same sample.The teacher intends to use a t statistic to evaluate the effect of the treatment.If the sample mean is M=69,then what is the effect size?
Chapter 6 Solutions
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Ch. 6.2 - State the decision rule that would be used to test...Ch. 6.2 - An herbalist is experimenting with juices...Ch. 6.2 - (a) Suppose H0:=0 is rejected in favor of H1:0 at...Ch. 6.2 - Company records show that drivers get an average...Ch. 6.2 - If H0:=0 is rejected in favor of H1:0, will it...Ch. 6.2 - A random sample of size 16 is drawn from a normal...Ch. 6.2 - Recall the breath analyzers described in Example...Ch. 6.2 - Calculate the P-values for the hypothesis tests...Ch. 6.2 - Suppose H0:=120 is tested against H1:120. If =10...Ch. 6.2 - As a class research project, Rosaura wants to see...
Ch. 6.2 - As input for a new inflation model, economists...Ch. 6.3 - Commercial fishermen working certain parts of the...Ch. 6.3 - Efforts to find a genetic explanation for why...Ch. 6.3 - Defeated in his most recent attempt to win a...Ch. 6.3 - Suppose H0:p=0.45 is to be tested against H1:p0.45...Ch. 6.3 - Recall the median test described in Example 5.3.2....Ch. 6.3 - Among the early attempts to revisit the death...Ch. 6.3 - What levels are possible with a decision rule of...Ch. 6.3 - Suppose H0:p=0.75 is to be tested against H1:p0.75...Ch. 6.4 - Recall the Math for the Twenty-First Century...Ch. 6.4 - Carry out the details to verify the decision rule...Ch. 6.4 - For the decision rule found in Question 6.2.2 to...Ch. 6.4 - Construct a power curve for the =0.05 test of...Ch. 6.4 - If H0:=240 is tested against H1:240 at the =0.01...Ch. 6.4 - Suppose n=36 observations are taken from a normal...Ch. 6.4 - If H0:=200 is to be tested against H1:200 at the...Ch. 6.4 - Will n=45 be a sufficiently large sample to test...Ch. 6.4 - If H0:=30 is tested against H1:30 using n=16...Ch. 6.4 - Suppose a sample of size 1 is taken from the pdf...Ch. 6.4 - Polygraphs used in criminal investigations...Ch. 6.4 - Prob. 12QCh. 6.4 - Prob. 13QCh. 6.4 - A sample of size 1 is taken from the pdf...Ch. 6.4 - Prob. 15QCh. 6.4 - Prob. 16QCh. 6.4 - Prob. 17QCh. 6.4 - Prob. 18QCh. 6.4 - Prob. 19QCh. 6.4 - Suppose that one observation from the exponential...Ch. 6.4 - Prob. 21QCh. 6.4 - Prob. 22QCh. 6.4 - Prob. 23QCh. 6.4 - Given the pdf fY(y;)=2y2,0y. Take a sample of size...Ch. 6.5 - Let k1,k2,...,kn be a random sample from the...Ch. 6.5 - Let y1,y2,...,y10 be a random sample from an...Ch. 6.5 - Let y1,y2,...,yn be a random sample from a normal...Ch. 6.5 - Let k denote the number of successes observed in a...Ch. 6.5 - Suppose a sufficient statistic exists for the...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Data from the Department of Motor Vehicles indicate that 80% of all licensed drivers are older than age 25 (thus, 20% or drivers are 25 or younger). In a sample of n = 50 people who recently received speeding tickets, 32 were older than 25 years and the other 18 were age 25 or younger. Is the age distribution for this sample significantly different from the distribution for the population of licensed drivers? Use α = .05.arrow_forwardIn a previous year, 61% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 417 are living alone. Is there sufficient evidence at the a= 0.01 level of significance to conclude the proportion has changed? Because npo (1- Po) =D 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) In a survey, 32% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 220 pet owners and discovered that 64 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.05 level of significance. Because npo (1- Po) "O 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis…arrow_forwardIn a previous year, 59% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 400 females aged 15 and older and finds that 246 are living alone. Is there sufficient evidence at the a = 0.1 level of significance to conclude the proportion has changed? ... Because npo (1- Po) 10, the sample size is V 5% of the population size, and the sample V the requirements for testing the hypothesis V satisfied. (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho: versus H1: (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. Zo (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value = |(Round to three decimal places as needed.) State the conclusion for this hypothesis test. A. Reject Ho. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the…arrow_forward
- In a previous year, 54% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 and older and finds that 264 are living alone. Is there sufficient evidence at the α=0.05 level of significance to conclude the proportion haschanged?arrow_forwardA sample of n = 25 scores is selected from a population with μ = 70 and σ = 20. It is very unlikely that the sample mean will be greater than 72. True or Falsearrow_forward
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