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Consider a F-curve with df=(2,14)

Find the F-value with an area0.01 to its right.

Short Answer

Expert verified

From the above plot the F-value with area 0.01 to its right is 6.51.

Step by step solution

01

Given information

The given F-curve has

df=(2,14)

02

Explanation

Plot the probability distribution plot using any software.

As the numerator of df=2and the denominator of df=14, enter the given data.

0.01is the probability value.

The probability curve is then shown below.

From the above plot the F-value with area 0.01to its right is 6.51.

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Most popular questions from this chapter

A study by E. Anionwu et al. published as the paper "Sickle Cell Disease in a British Urban Community", measured the steady-state hemoglobin levels of patients with three different types of sickle cell disease: HB SS, HB ST and HB SC. The data are presented on the WeissStats site.

a. Obtain individual normal probability plots and the standard deviations of the sample.

b. Perform a residual analysis

c. use your results from part (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so, also do parts (d) and (e).

d. use a one-way ANOVA test to decide, at the\(5%\) significance level whether, the data provide sufficient evidence to conclude that a difference exists among the means of the populations from which the samples were taken.

e. Interpret your results from part (d).

Refer to Exercise 13.74. Suppose that you have obtained a 95%confidence interval for each of the two differences, ฮผ1-ฮผ2and ฮผ1-ฮผ3. Can you be95% confident of both results simultaneously, that is, that both differences are contained in their corresponding confidence intervals? Explain your answer.

How many degrees of freedom does an F-curve have? What are those degrees of freedom called?

In this problem, consider an F-curve with df=(2,14).

Identify the degrees of freedom for the denominator.

Show that, for two populations, MSE=sp2, where sp2is the pooled variance defined in Section 10.2 on page 407 . Conclude thatMSE is the pooled sample standard deviation, sp.

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