Basic Business Statistics, Student Value Edition
14th Edition
ISBN: 9780134685113
Author: Mark L. Berenson, David M. Levine, David F. Stephan, Kathryn Szabat
Publisher: PEARSON
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Chapter 9, Problem 18PS
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A researcher conducts a hypothesis test using a sample of n = 20 with M = 34 and s 2 = 36 from an unknown population. What is the df value for the t statistic?
A researcher conducts a hypothesis test using a sample of n=20 with M =34 and s^2=36 from an unknown population.What is the df value for the t statistic?
A hypothesis test was conducted, at α = 0.05, to determine whether a certain chemical compound lasts longer than 30 seconds under a certain specified condition.
The hypotheses used were:
H0: µ = 30
Ha: µ > 30
A sample mean of 37.4 seconds was obtained from a sample of size n = 80. All statistical assumptions were met, and a p-value of p = 0.0089 was obtained.
Which of the following is correct?
a) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds from a sample of size n = 80 would be only .0089.
b) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or less) from a sample of size n = 80 would be only .0089.
c) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from…
Chapter 9 Solutions
Basic Business Statistics, Student Value Edition
Ch. 9 - If you use a 0.005 level of significance in a...Ch. 9 - If you use a 0.05 level of significance in a...Ch. 9 - If you use a 0.10 level of significance in a...Ch. 9 - If you use a 0.01 level of significance in a...Ch. 9 - What is your decision in problem 9.4 if...Ch. 9 - What is the p -value if, in a two-tail hypothesis...Ch. 9 - In problem 9.6, what is your statistical decision...Ch. 9 - What is the p-value if, in a two -tail hypothesis...Ch. 9 - In the U.S. legal system, a defendant is presumed...Ch. 9 - Suppose the defendant in Problem 9.9 is presumed...
Ch. 9 - Many consumer groups feel that U.S. Food and Drug...Ch. 9 - As a result of complaints from both students and...Ch. 9 - Do business senior at your school prepare for...Ch. 9 - The quality- control manager at a light emitting...Ch. 9 - Suppose that in problem 9.14, the standard...Ch. 9 - A bottled water distributor wants to determine...Ch. 9 - Suppose that in Problem 9.16, the standard...Ch. 9 - If, In a sample of n=16 selected from a normal...Ch. 9 - In Problem 9.18, how many degrees of freedom does...Ch. 9 - In Problem 9.18, 9.19, what are the Critical...Ch. 9 - In, Problem 9.18, 9.19, and 9.20, what is your...Ch. 9 - If, in a sample of n=16 selected from a...Ch. 9 - If, in a sample of n=160 selected from a...Ch. 9 - You are the manager of a restaurant for a...Ch. 9 - A manufacturer of chocolate candies uses machines...Ch. 9 - A marketing researcher wants to estimate the mean...Ch. 9 - The U.S. Department of Transportation requires...Ch. 9 - The file FastFood contains the amount that a...Ch. 9 - An insurance company has the business objective of...Ch. 9 - The following data (in Drink) represent the amount...Ch. 9 - One of the major measures of the quality of...Ch. 9 - A manufacturing company produces steel housings...Ch. 9 - One operation of a steel mill is to cut pieces of...Ch. 9 - In Problem 3.69 on page 156, you were introduced...Ch. 9 - We Are Social and Hootsuite reported that the...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.36, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.38, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.40, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.42, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.44, what is your statistical decision...Ch. 9 - The Washington Metropolitan Area Transit Authority...Ch. 9 - CarMD reports that after two years of flat U.S....Ch. 9 - Patient waiting is a common phenomenon the...Ch. 9 - You are the manager of a restaurant that delivers...Ch. 9 - A Survey of nonprofit organization showed that...Ch. 9 - The population mean waiting time to check out of a...Ch. 9 - If, a random sample of 400 items, 88 are...Ch. 9 - In Problem 9.52, if the null hypothesis is that 20...Ch. 9 - In Problem 9.52 and 9.53, suppose you are testing...Ch. 9 - According to a recent National Association of...Ch. 9 - The worldwide market share for the Chrome web...Ch. 9 - One of the issues facing organizations Is...Ch. 9 - What are companies’ biggest obstacles to...Ch. 9 - A cellphone provider has the business objective of...Ch. 9 - Actuation Consulting conducted a global survey of...Ch. 9 - What is the difference between a null hypothesis,...Ch. 9 - What is the difference between a Type I error and...Ch. 9 - What is meant by the power of a test?Ch. 9 - What is the difference between a one -tail test...Ch. 9 - What is meant by a p-value?Ch. 9 - How can a confidence interval estimate for the...Ch. 9 - What is the six-step critical value approach to...Ch. 9 - What is the five-step p-value approach to...Ch. 9 - In hypothesis testing, the common level of...Ch. 9 - Financial institutions utilize prediction models...Ch. 9 - IAB conducted a study of 821 U.S. adults to...Ch. 9 - The owner of a speciality coffee shop wants to...Ch. 9 - An auditor for a government agency was assigned...Ch. 9 - A bank branch located in a commercial district of...Ch. 9 - Call centers today play an important role in...Ch. 9 - An important quality characteristic used by the...Ch. 9 - Studies conducted by the manufacturer of Boston...Ch. 9 - The manufacturer of Boston and Vermont asphalt...Ch. 9 - Referring to the results of problems 9.76 through...
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- .A sample of 9 measurements, randomly selected from a normally distributed population, resulted in x= 2.6, and s= 0.9 Conduct a hypothesis test to verify the claim that the population mean is greater than 2.5 . Use a=.05arrow_forwardIn a test of H0:p=0.4 against Ha:p≠0.4, a sample of size 100 produces z=1.28 for the value of the test statistic. Thus the p-value of the test is approximately equal to?arrow_forwardA researcher conducts a hypothesis test using a sample from an unknown population. If df = 30 for the t-statistic and M = 46 and s2 = 10, how many individuals were in the sample?arrow_forward
- Independent samples from two populations are taken, and a t-statistic is used to test the null hypothesis Ho: u1 = u2 against the alternative Ha: u1>u2. The resulting p-value is 0.04.Using the same samples but change the alternative hypothesis to u1 is NOT EQUAL TO u2. What is the new p-value? a) 0.04 b) 0.08 c) 0.05 d) 0.02 e) cannot be determinedarrow_forwardThe major of a very small town wants to compare the number of flu cases that she has in her town(a sample) to the number of flu cases nation wide (the population) to see differ. What is the null hypothesis for the scenario? A)Ho: r=0 B)Ho:u1=u2 C)Ho:X=u D)Ho: u1=u2=u3arrow_forwardIn testing the hypotheses H 0 : p = 0.50 H0:p=0.50 versus H A : p ≠ 0.50 HA:p≠0.50 , a sample of 100 observations produces a test statistic z = 0 z=0 . What is the p p -value for this test? a1.0000 b 0.6915 c 0.5000 d 0.0000 cNone of the above.arrow_forward
- d.If α is 0.10 and you find a P-value of 0.08 in your hypothesis test, what would you conclude? e.How do you calculate the standard error of ?̅?arrow_forwardIf the critical t is ±1.796 and the obtained t is -2.09, what decision would you make regarding the null hypothesis?arrow_forwardSuppose we are testing the null hypothesis H 0: = 20 and the alternative H a: 20, for a Normal population with = 14. A random sample of 25 observations is drawn from the population, and we find that the sample mean of these observations is = 17.6. The P-value is closest to: a. 0.0668. b. .391. c. 0.0027. d. .247.arrow_forward
- A study found that 1 out of 200 adult males have green eyes. If a random sample of 400 adult males is obtained, is the sampling of the sample proportion of males that have green eyes approximately normal? A. Yes, the sample size is greater than 10% of the population. B. Yes, the sample was randomly selected C. No, because np < 10 D. No, because nq < 10arrow_forwardIn a test of H0: p = .43 versus Ha: p ≠ .43, a sample of size 1500 leads to a p-value of 0.087. Which of the following must be true if a = 0.05? A. The Ho should be rejected at the 5% level B. The Ho should fail to be rejected at the 5% level C. The Ho should be accepted at the 5% levelarrow_forwardIn the tt-test of significance for the hypotheses H0:μ=11 and Ha:μ<11, the value of the test statistic was found to be t = 1.205 using a sample of size 18. Estimate the upper bound for the P-value associated with this test. That is, fill in the blank P <P< _____. Please show work!arrow_forward
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