In each of Exercises we have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the pooled t-test and pooled t-interval procedure is reasonable. Explain your answer. x1 = 118, s1 = 12.04, n1 = 99,x2 = 110, s2 = 11.25, n2 = 80

Question

In each of Exercises we have provided summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide, in each case, whether use of the pooled t-test and pooled t-interval procedure is reasonable. Explain your answer.

x1 = 118, s1 = 12.04, n1 = 99,
x2 = 110, s2 = 11.25, n2 = 80

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Washing Hands Based on results from a Bradley Corporation poll, assume that 70% of adults always was...

A: a)Define the random variable x as the number of adults washing their hands after using the public re...

Q: LEDs and CFLs. Light-emitting diodes (LEDs) and compact fluorescent lights (CFLs) are lightbulbs tha...

A: Given brightness of 18 different 60 - watt LED and CFL lightbulbs as shown below.The histogram for t...

Q: The number of gallons of paint that Home Depot sells in a given day is normally distributed with a m...

A: Click to see the answer

Q: Type I Error and Type II Error a. In general, what is a type I error? In general, what is a type II ...

A: In this case, Exercise 6 can be considered as follows:

Q: In Exercises, we have given the value obtained for the test statistic, z, in a one-mean z-test. We h...

A: Click to see the answer

Q: Fill in the following blanks. a. The t-test is_______to moderate violations of the normality assumpt...

A: a.For t-test, the samples should be normally distributed but the populations need not to be normally...

Q: Exercises pertain to critical values for a Wilcoxon signed-rank test. Use Table V in Appendix A to d...

A: a)For 1% level of significance,

Q: Bakery Products. TheMill Avenue Bakery packages its products in three sizes: one-half-pound, one-pou...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Fi...

A: The five number summary for highway mileage (mpg) is obtained below:The five number summary is obtai...

Q: Problems pertain to the P-value approach to hypothesis testing. Assess the evidence against the null...

A: The below table explains the evidence against null hypothesis corresponding to the p-values:

Q: Blood Pressure Medication. A medical researcher wants to determine factors that affect a patient’s r...

A: (a)Justification:Response variable:Response variable in a regression equation is the dependent varia...

Q: Suppose that you want to perform a hypothesis test for a population mean, µ. a. Express the null hyp...

A: Hypothesis testing:         Hypothesis testing was introduced by R.A.Fisher (Ronald Fisher).It is a ...

Q: In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, wh...

A: The following assumptions are required for the small sample confidence interval about mean to be val...

Q: Testing Hypotheses. In Exercises 13–24, assume that a simple random sample has been selected and tes...

A: Test statistics for one sample t:The test statistic formula for the one sample t test is,

Q: The times ( in seconds) for a sample of seven sports cars to accelerate from 0 to 60 miles per hour ...

A: The number of standard deviation is 3.8 away from the mean is obtained below:From the data set 3.8 h...

Q: Regarding the regression of a response variable, y, on predictor variable, x, what is meant by strai...

A: Straightening the scatterplot:To fit a simple linear regression line, the data set of the predictor ...

Q: Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothe...

A: Denote the x as the number of specified characteristics, the hypothesized proportion as p and the sa...

Q: What kind of plot is useful for deciding whether it is reasonable to find a regression to find a reg...

A: Scatterplot matrix:A scatterplot matrix is an array or a collection of scatterplots, consisting of a...

Q: In each of Exercises, we have provided a scenario for a hypothesis test for a population mean. Decid...

A: Criteria for using the z testIf sample size is less than 15 and the variable is normally distributed...

Q: Understanding the Concepts and SkillsExplain the meaning ofa. qualitative variable.b. discrete, quan...

A: From the given question,The variables can be defined into broad category which as follows:Qualitativ...

Q: Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothe...

A: GivenClaim = the proportion of sales are overchagre is different from 1% Level of significance = 5%L...

Q: Job Applicants The Society for Human Resource Management conducted a survey of 347 human resource pr...

A: a)Here, the number of respondents or the human resource professionals are 347 and 73% reported that ...

Q: Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarize...

A: The class boundary between the third and fourth classes is obtained below:Introduction:For given cla...

Q: Electricity Costs. The monthly service charge for electricity for a residential customer who is usin...

A: a)For the customer, the fixed cost that has to be paid for using the Two Period Plan is $4.10.

Q: Explain the meaning of the term hypothesis as used in inferential statistics.

A: Hypothesis testing:         Hypothesis testing was introduced by R.A.Fisher (Ronald Fisher).It is a ...

Q: My question asks me to find the class width, limits, boundaries, midpoints, frequencies, relative fr...

A: Selection of number of classes:“2 to the k rule” suggests that the number of classes is the smallest...

Q: Exercises pertain to critical values for a Wilcoxon signed-rank test. Use Table V in Appendix A to d...

A: Click to see the answer

Q: Conclusions True or false: In hypothesis testing, it is never valid to form a conclusion of supporti...

A: Click to see the answer

Q: Infant Mortality Rate. A social scientist wants to predict the infant mortality rate in cities in th...

A: (a)Justification:Predictor variable:Predictor variable in a regression is the independent variable, ...

Q: Exercises pertain to P-values for a one-mean t-test. For each exercise, do the following tasks. a.Us...

A: a)For left tailed test

Q: In each of Exercises, suppose that you want to perform a hypothesis test for a population mean. Assu...

A: For testing population mean:If sample size is small and the population is normally distributed then ...

Q: In each of Exercises, suppose that you want to perform a hypothesis test for a population mean. Assu...

A: For testing population mean:If sample size is small and the population is normally distributed then ...

Q: The Wilcoxon signed-rank test can be used to perform a hypothesis test for a population median, η, a...

A: Criteria for using the Wilcoxon signed-ranked test:The sample should be randomly selected.The distri...

Q: A researcher conducts a multiple regression analysis with two-tailed α = .05. They predict thermomet...

A: The hypotheses are given below:Null hypothesis:H0:β1=0Alternative hypothesis:H1:β1≠0Conclusion for p...

Q: Regarding multiple linear regression analysis: a. What sum of squares is made as small as possible w...

A: (a)Justification:Method of least squares:

Q: Express each of the following using the summation notation: a. [2X1 +2X2 +2X3][5X1 +5X2 +5X33] b...

A: Solution: We have to express each of given terms using the summation notation.a. [2X1 +2X2 +2X3][5X1...

Q: Purse Snatching. The Federal Bureau of Investigation (FBI) compiles information on robbery and prope...

A: Click to see the answer