What is the value of the pooled standard deviation

Assignment Help Engineering Mathematics
Reference no: EM131014162

Calculating the pooled standard deviation. An experiment was run to compare four groups. The sample sizes were 25, 28, 150, and 21, and the corresponding estimated standard deviations were 42, 38, 20, and 45.

(a) Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Give a reason for your answer.

(b) Give the values of the variances for the four groups.

(c) Find the pooled variance.

(d) What is the value of the pooled standard deviation?

(e) Explain why your answer in part (d) is much closer to the standard deviation for the third group than to any of the other standard deviations.

Reference no: EM131014162

Questions Cloud

Company break-even point in unit sales : Mauro Products distributes a single product, a woven basket whose selling price is $15 and whose variable expense is $12 per unit. The company's monthly fixed expense is $4,200.
What is the value of the f statistic : The One-Way ANOVA applet lets you see how the F statistic and the P-value depend on the variability of the data within groups and the differences among the means. The black dots are at the means of the three groups. Move these up and down until..
Find the area of the surface when the graph is rotated : Find the area of the surface when the graph of y = √(4 - x2) is rotated about the x-axis-i. for 0 ≤ x ≤ 1, ii. for 1 ≤ x ≤ 2 , and iii. for 2 ≤ x ≤ 3.
Describe the effect on the f statistic and its p-value : The effect of increased variation between groups. Set the pooled standard error for the One-Way ANOVA applet at a middle value. Drag the black dots so that they are approximately equal. What is the F statistic? Give its P-value.
What is the value of the pooled standard deviation : Calculating the pooled standard deviation. An experiment was run to compare four groups. The sample sizes were 25, 28, 150, and 21, and the corresponding estimated standard deviations were 42, 38, 20, and 45. Is it reasonable to use the ass..
What are the degrees of freedom for the anova f statistic : To compare the mean scores across classes, what are the degrees of freedom for the ANOVA F statistic? The MSG = 11.806. If sp = 2.16, what is the F statistic?
Plot the means versus the number of accommodations : Most reasonable approaches to the analysis of these data would conclude that the data fail to provide evidence that the number of accommodations is related to the mean grades. Does this imply that the accommodations are not needed or does it sugge..
What is the firms earnings growth rate : The newspaper reported last week that Bennington Enterprises earned $34 million this year. The report also stated that the firm’s return on equity is 16 percent. Bennington retains 80 percent of its earnings. What is the firm's earnings growth rate? ..
Firm save by raising all of the debt in a single issue : Euro corporation is financing an on going construction project the firm will need $ 5,000,000of new capital during each of the next 3 years. Yearly flotation costs for the separation issues of debt would be3.0% of the gross amount. Ignoring time valu..

Reviews

Write a Review

Engineering Mathematics Questions & Answers

  Resting heart rates of american adults

A normal resting heart rate for adults ranges from 60 to 100 beats a minute," reports Dr. Edward Laskowski of the Mayo Clinic. Lower resting heart rates are generally associated with higher cardiovascular fitness.

  Estimate the probability that demand

Demand for a product is normally distributed with mean demand equal to 200 units. There is a 0.95 probability that demand for this produce is between 180 to 220 units. Estimate the probability that demand for this product will exceed 195 units?

  Determine the cartesian equation of the plane

Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 2, -4, and 3 respectively and determine the Cartesian equation of the plane that passes through the origin and is parallel to the plane in part a.

  Feasible solution for an lp in standard form

Suppose we have an optimal basic feasible solution for an LP in standard form. If we increase the cost of a non-basic variable xn, the current solution will always remain optimal.

  Range of feasibility-sensitivity range

For a maximization problem, assume that a constraint is binding. If the original amount of a resource is 4 lbs., and the range of feasibility (sensitivity range) for this constraint is from 3 lbs. to 6 lbs., increasing the amount of this resource ..

  Manufacturing of a microwave oven

A production manager is faced with the question of how to allocate the manufacturing of a microwave oven between his own company and a subcontractor, because neither firm can handle the demand alone.

  Problem regarding the integer programming problem

Solve the integer programming model for the below problem.  For this problem, solve the integer programming model by using QM for Windows.

  Write down the set p

Write a closed form expression terms of n and simplify your expression - Write down the set P

  Draw the network representation

(a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Draw the network representation of this problem. (c) Obtain an optimal solution.

  Processing time-staff hours data for durham health clinic

Using the data provided inTable 8-5 in your textbook, determine the production frontiers for the Durham Health Clinic. Which station should be expanded to increase the overall capacity of the clinic, and why?

  What is the smallest possible total area

A wire 10 feet long is to be cut into two pieces, each of which is to formed into a square. What is the largest possible total area of the two squares? What is the smallest possible total area?

  Find the probability that the difference

Question: Using the information in A and B, find the probability that the difference in mean BMI for 30 women and 35 men selected independently and at random from the respective populations will exceed 3.20.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd