Problem1 (Use the Formula sheet and the Tables to answer this question, You should not use Mega-Stat)Health Care Knowledge Systems reported that an insured woman and an uninsured woman spend on average same number of days in the hospital for a routine childbirth, Assume two samples of 35 women each were used in both samples. The summary statistics are as follows: Sample sizeMeanStandard deviationInsured woman352.30.6Uninsured woman351.90.5 F-test for equality of variance 0.36variance: Insured woman 0.25variance: uninsured woman 1.44F .2926p-value Write the null Ho and alternative hypotheses H1 Test normality for the given data At a = 0.01. Use the above Mega-Stat output to test equality of the variances and choose appropriate T test Calculate the value of the test statistic T Use the Test statistic T to test the claim that the means are equal. Use a = 0.01, If the margin of error ME = 0.3499.Find the 99% confidence interval for the differences of the means. Use the confidence interval method to test the claim that the means are equal.

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

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Problem1 (Use the Formula sheet and the Tables to answer this question, You should not use Mega-Stat)

Health Care Knowledge Systems reported that an insured woman and an uninsured woman spend on average same number of days in the hospital for a routine childbirth, Assume two samples of 35 women each were used in both samples. The summary statistics are as follows:

	Sample size	Mean	Standard deviation
Insured woman	35	2.3	0.6
Uninsured woman	35	1.9	0.5

F-test for equality of variance
	0.36	variance: Insured woman
	0.25	variance: uninsured woman
	1.44	F
	.2926	p-value

Write the null Ho and alternative hypotheses H1

Test normality for the given data

At a = 0.01. Use the above Mega-Stat output to test equality of the variances and choose appropriate T test

Calculate the value of the test statistic T

Use the Test statistic T to test the claim that the means are equal. Use a = 0.01,

If the margin of error ME = 0.3499.

Find the 99% confidence interval for the differences of the means.

Use the confidence interval method to test the claim that the means are equal.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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