Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Question
Chapter 12.1, Problem 7AYU
a.
To determine
The
χ 2
b.
To determine
The degrees of freedom.
c.
To determine
The critical value using
α = 0.05
d.
To determine
To test: The hypothesis at
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2) Suppose that we are testing Ho:µ = 4 vs Ha: µ > 4. A p-value of 0.023 was
determined. Which of the following is a correct interpretation of this p-value?
(a) The null hypothesis would be rejected at a 5% level but not a 1% level.
(b) The null hypothesis would be rejected at a 1% level but not a 5% level.
(c) The null hypothesis would be rejected at both 5% and 1% levels.
(d) The null hypothesis would not be rejected at either the 5% or 1% level.
3. Suppose you are testing
Ho: µ = 62
H1: µ + 62
versus
where o? is unknown and n = 14. The data come from a normal population. From your
data, you calculate your test statistic value as -2.483.
(a) Should you use z or t when finding a p-value for this scenario?
(b) Calculate the p-value for this scenario.
(c) What is the smallest level of significance (a value) such that we Reject Ho in this
scenario?
1. You are performing a two-tailed test with a sample size of 44.If α=.02α=.02, find the positive critical value, to four decimal places.tα/2= ?
2. You are performing a two-tailed test with a sample size of 88.If α=.01α=.01, find the positive critical value, to four decimal places.tα/2= ?
Chapter 12 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 12.1 - True or False: The shape of the chi-square...Ch. 12.1 - A _____ test is an inferential procedure used to...Ch. 12.1 - Suppose there are n independent trials of an...Ch. 12.1 - What are the two requirements that must be...Ch. 12.1 - In Problems 5 and 6, determine the expected counts...Ch. 12.1 - In Problems 5 and 6, determine the expected counts...Ch. 12.1 - Prob. 7AYUCh. 12.1 - Prob. 8AYUCh. 12.1 - In Problems 710, determine (a) the 2 test...Ch. 12.1 - In Problems 710, determine (a) the 2 test...
Ch. 12.1 - Applying the Concepts 11. NW Plain MMs According...Ch. 12.1 - Peanut MMs According to the manufacturer of MMs,...Ch. 12.1 - Prob. 13AYUCh. 12.1 - Prob. 14AYUCh. 12.1 - Always Wear a Helmet The National Highway Traffic...Ch. 12.1 - Religion in Congress Is the religious make-up of...Ch. 12.1 - Does It Matter Where I Sit? Does the location of...Ch. 12.1 - Racial Profiling On January 1, 2004, it became...Ch. 12.1 - Prob. 19AYUCh. 12.1 - Prob. 20AYUCh. 12.1 - Prob. 21AYUCh. 12.1 - Is the Die Loaded? A player in a craps game...Ch. 12.1 - Grade Distributions At Joliet Junior College, the...Ch. 12.1 - Population Shift An urban economist wonders if the...Ch. 12.1 - Prob. 25AYUCh. 12.1 - Living Alone? In 2000, 25.8% of Americans 15 years...Ch. 12.1 - Putting It Together: The V-2 Rocket in London In...Ch. 12.1 - Putting It Together: Weldons Dice On February 2,...Ch. 12.1 - Buying a New Car How much does the typical person...Ch. 12.1 - Why is goodness of fit a good choice for the title...Ch. 12.1 - Explain why chi-square goodness-of-fit tests are...Ch. 12.1 - Prob. 32AYUCh. 12.2 - True or False: The expected frequencies in a...Ch. 12.2 - In a chi-square test for ____ of proportions, we...Ch. 12.2 - The following table contains observed values and...Ch. 12.2 - The table in the next column contains observed...Ch. 12.2 - Prob. 5AYUCh. 12.2 - Prob. 6AYUCh. 12.2 - NW Family Structure and Sexual Activity A...Ch. 12.2 - Prenatal Care An obstetrician wants to learn...Ch. 12.2 - Health and Happiness Are health and happiness...Ch. 12.2 - Health and Education Does amount of education play...Ch. 12.2 - Social Well-Being and Obesity The Gallup...Ch. 12.2 - Profile of Smokers The following data represent...Ch. 12.2 - Efficacy of e-Cigs Do electronic cigarettes assist...Ch. 12.2 - Celebrex Celebrex, a drug manufactured by Pfizer,...Ch. 12.2 - NW Whats in a Word? In a recent survey conducted...Ch. 12.2 - Whats in a Word? Part II In a recent survey...Ch. 12.2 - Dropping a Course A survey was conducted at a...Ch. 12.2 - Prob. 18AYUCh. 12.2 - Prob. 19AYUCh. 12.2 - Prob. 20AYUCh. 12.2 - Putting It Together: Women, Aspirin, and Heart...Ch. 12.2 - Homeruns Go to...Ch. 12.2 - Explain the differences between the chi-square...Ch. 12.2 - Why does the test for homogeneity follow the same...Ch. 12.3 - Suppose a least-squares regression line is given...Ch. 12.3 - Prob. 2AYUCh. 12.3 - Prob. 3AYUCh. 12.3 - Prob. 4AYUCh. 12.3 - Prob. 5AYUCh. 12.3 - Prob. 6AYUCh. 12.3 - Prob. 7AYUCh. 12.3 - Prob. 8AYUCh. 12.3 - Prob. 9AYUCh. 12.3 - Prob. 10AYUCh. 12.3 - An Unhealthy Commute The following data represent...Ch. 12.3 - Credit Scores An economist wants to determine the...Ch. 12.3 - Height versus Head Circumference A pediatrician...Ch. 12.3 - Hurricanes The data in the next column represent...Ch. 12.3 - Concrete As concrete cures, it gains strength. The...Ch. 12.3 - Tar and Nicotine Every year the Federal Trade...Ch. 12.3 - Invest in Education Go to...Ch. 12.3 - American Black Bears In 1969, Dr. Michael R....Ch. 12.3 - CEO Performance (Refer to Problem 31 in Section...Ch. 12.3 - Bear Markets (Refer to Problem 32. Section 4.1) A...Ch. 12.3 - Age versus HDL Cholesterol A doctor wanted to...Ch. 12.3 - Prob. 22AYUCh. 12.3 - Influential Observations Zillow.com is a site that...Ch. 12.3 - Why is it important to perform graphical as well...Ch. 12.3 - Prob. 25AYUCh. 12.3 - Why is it desirable to have the explanatory...Ch. 12.4 - Intervals constructed about the predicted value of...Ch. 12.4 - Prob. 2AYUCh. 12.4 - Prob. 3AYUCh. 12.4 - Using the sample data from Problem 6 in Section...Ch. 12.4 - Prob. 5AYUCh. 12.4 - Prob. 6AYUCh. 12.4 - Prob. 7AYUCh. 12.4 - Prob. 8AYUCh. 12.4 - Prob. 9AYUCh. 12.4 - Prob. 10AYUCh. 12.4 - Prob. 11AYUCh. 12.4 - Tar and Nicotine Use the results of Problem 16 in...Ch. 12.4 - Prob. 13AYUCh. 12.4 - Prob. 14AYUCh. 12.4 - CEO Performance Use the results of Problem 19 from...Ch. 12.4 - Prob. 16AYUCh. 12.4 - Prob. 17AYUCh. 12 - Roulette Wheel A pit boss suspects that a roulette...Ch. 12 - Prob. 2RECh. 12 - Titanic With 20% of men, 74% of women, and 52% of...Ch. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Seat Choice and GPA A biology professor wants to...Ch. 12 - Apartments The following data represent the square...Ch. 12 - Calories versus Sugar The following data represent...Ch. 12 - A pit boss is concerned that a pair of dice being...Ch. 12 - Prob. 2CTCh. 12 - The Harris Poll asked a random sample of adult...Ch. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Crickets make a chirping noise by sliding their...Ch. 12 - The following data represent the height (inches)...Ch. 12 - A researcher believes that as age increases, the...Ch. 12 - CASE STUDY Feeling Lucky? Well, Are You? In fiscal...
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Similar questions
- 3. For the data in the source table, what decision can be made about the hypotheses being tested? Source df F 2 4 Between-groups Subjects Within-groups Total O SS 10.1 7.4 8.5 26 d. 8 14 Oa. Fail to reject the null hypothesis and conclude that there is no effect of the independent variable. Ob. Fail to reject the null hypothesis because the F statistic does not exceed the critical cutoff. Oc. Reject the null hypothesis and conclude that the independent variable has no effect. MS 5.05 1.85 1.063 Reject the null hypothesis and conclude that there are differences among the levels of the independent variable.arrow_forwardIf a =0.05 and df=26 for a left-tailed test, what is the critical value of x?? A. Xổ 05 = 38.885 Xổ.05 В. 15.379 C. Xã.95 = 38.885 2 D. Xá.95 = 15.379arrow_forward4. The amount of contaminants in two independent samples (comprised of independent subjects) from two distinct bird species is measured in a veterinary hospital. The summary of the data is presented below. Data from Pop. 1 Data from Pop. 2 n1=13 71=1.12 $1=0.52 72=D15 I2=1.49 S2=0.70 We are interesting in testing Ho: -P2=0, versus H,: A-A20. And we will mnake the normality assumption. (a) Suppose that we know the population variances: of = 0.1, o = 0.2. Design the test and find its pvalue. What conclusion do you reach at significance level 5%? (b) Suppose that the researchers do not trust these population vari- ance values, and would like to do the test based on the sample variances provided above. Assuming equal variance, how would your conclusions changed? %3Darrow_forward
- 6. Show that 1 s2 E1(Xi – x)² is unbiased estimator of the population variance o? i=1 п-1arrow_forwardThis is a 4 part question.arrow_forward3. In an experiment on immunization of cattle from tuberculosis, the following results were obtained : Affected Not affected Inoculated 12 26 Not inoculated 16 6 Calculate x and discuss the effect of vaccine in controlling susceptibility to tuberculosşis (5% value of x for one degree of freedom = 3.84).arrow_forward
- 12. A random sample of n = 4 individuals is selected from a population with µ = 35, and a treatment is %3D administered to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with a = .05.arrow_forward1. A researcher reports an F-ratio with df(between) = 3 and df(within) = 28. How many treatment conditions were compared in the experiment? If samples have an equal number of participants, how many are in each treatment? 2. A researcher obtains an F = 4.10 with df = 2, 14. Is this value sufficient to reject the null with α = .05? Is it sufficient enough to reject the null with α = .01?arrow_forward7. Suppose you are testing Ho: μ = 91 versus H₁: μ #91 where o² is unknown and n = 11. The data come from a normal population. From your data, you calculate your test statistic value as -2.396. (a) Should you use z or t when finding a p-value for this scenario? (b) Calculate the p-value for this scenario. (c) What is the smallest level of significance (a value) such that we Reject Ho in this scenario?arrow_forward
- A question of medical interest is whether jogging leads to a reduction in systolic blood pressure. To learn about this question, eight non-jogging volunteers have agreed to begin a 1-month jogging program. At the end of the month, their blood pressures were determined and compared with earlier values. The data are presented in the Table 1. a. The appropriate hypotheses are: H0 :μ1−μ2 =0 versus Ha :μ1−μ2 /= (does not equal) 0 H0 :μ1−μ2 =0 versus Ha :μ1−μ2 <0 H0 :μ1−μ2 =0 versus Ha :μ1−μ2 >0 b. The value of test statistic is 1. 0.577 2. −0.577 3. 0.237 4. -0.237 c. The p−value of test is 1. 0.816 2. 0.408 3. 0.582 4. 0.291 d. At the significance level calculated in part (c), we conclude that jogging i. Leads to reduction in systolic blood pressureii. Does not lead to reduction in systolic blood pressurearrow_forwardEvaluate the following grades: (Case 1) a grade of 220 points on an exam with u = 200 ando = 21. (Case 2) a grade of 90 points on an exam with µ = 80 and o = 8. * The better grade cannot be determined. The first grade is better. The two grades are equal statistically. The second grade is better.arrow_forwardProblems: 1. Suppose you are testing Но: и 3D 75 H1: µ > 75 versus where ơ² is known and n = 50. From your data, you calculate your test statistic value as +2.01. (a) Should you use z or t when finding a p-value for this scenario? (b) Calculate the p-value for this scenario. (c) Using a significance level of 0.027. what decision should you make (Reject Ho or Do Not Reject Ho)?arrow_forward
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