essential of statistics for the behavioral science 9 edition essential of statis
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essential of statistics for the behavioral science 9 edition essential of statistics for the behavioral science 9 edition essential of statistics for the behavioral science 9 edition > R lagot successful . CAS co Ongcengage.com/static/nb/ui/index.html ?nbld-5940738nbNodeld 216736675&elSBN; 978133727 MINDTAP Do: Chapter 9 End-of-Chapter Problems é Due Today at 10 PM CD c Eack to Ansigmen Score:8 Attempts 2. Gravetter/Wallnau/Forzano, Essentials·Chapter 9 . End-of-diapter question 2 A sample of n-16 scores has a mean of M- 56 and a standard deviation of s-20 Explain what is measured by the sample standard deviation. The sample standard deviation describes the Aa Aa of the and In . this case, the standard distance between is 20 points. Compute the estimated standard error for the sample mean, and explain what is measured by the standard error The standard error provides a measure of and In this case, the estimated standard error is points. Graded Continue vidhout sanExplanation / Answer
(a) The sample standard deviation describes the spread of scores of the sample datasetabout its mean
In this case the standard distance between the mean and the points of the dataset is 20 points
(b) Now Standard error is a statistical term that measures the accuracy with which a sample represents a population.
In this case, standard error is given by t(alpha/2)*(s/Sqrt(n)) where t is the test statistic from the students t distribution and s is the sample standard deviation =20 and n is count od the dataset =16 in this case
degrees of freedom = n-1 = 15
So at a significance level of 0.05 and degrees of freedom =15, t (alpha/2) = t(0.025) = 2.131 which can be looked up through a t distribution table. Hence using the formula for standard error given earlier S.E. = 2.131*(20/sqrt(16)) = 10.66
Standard Error represents the interval between which the population parameter (in this case the mean) is most likely to fall
Hence population mean will lie between 56 (+-) 10.66 i.e between 45.34 and 66.66 with 95 % Confidence or accuracy
The standard error in this case provides a measure of the interval beween a population parameter and the sample parameter. In this case the estimated standard error is 10.66 points.
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