Two independent samples from normal distributions are being compared. The sample data are summarized in the table.PopulationPopulationmeanSamplesizeSamplemeanSample standarddeviationStandard errorestimate1?1?1=16x¯1=15.3s1=2.010SE1=0.5032?2?2=14x¯2=13.8s2=2.330SE2=0.623The estimated standard error of the difference of the two sample means is SE=0.800.Compute the value of the two-sample ?t‑statistic used to test the null hypothesis ?0:?1=?2H0:μ1=μ2. Please give your answer precise to three decimal places.

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Description: Two independent samples from normal distributions are being compared. The sample data are summarized in the table.PopulationPopulationmeanSamplesizeSamplemeanSample standarddeviationStandard errorestimate1?1?1=16x¯1=15.3s1=2.010SE1=0.5032?2?2=14x¯2=1

Answered: Two independent samples from normal…

MATLAB: An Introduction with Applications

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Two independent samples from normal distributions are being compared. The sample data are summarized in the table.

Population	Population mean	Sample size	Sample mean	Sample standard deviation	Standard error estimate
1	?1	?1=16	x¯1=15.3	s1=2.010	SE1=0.503
2	?2	?2=14	x¯2=13.8	s2=2.330	SE2=0.623

The estimated standard error of the difference of the two sample means is SE=0.800.

Compute the value of the two-sample ?t‑statistic used to test the null hypothesis ?0:?1=?2H0:μ1=μ2. Please give your answer precise to three decimal places.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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