Q13: What is the raw score on Test 2 below which 97.5 percent of the scores can be found (i.e., the percentile point)? Round to two decimal places if necessary. Hint: Sketch and annotate a z distribution to clarify the portion of the distribution you are trying to quantify. Now, find the z score closest to the point below which 97.5 percent of the values fall. Last, write down the z equation with the values for z, µ, and o in their proper places and solve for X.
Q13: What is the raw score on Test 2 below which 97.5 percent of the scores can be found (i.e., the percentile point)? Round to two decimal places if necessary. Hint: Sketch and annotate a z distribution to clarify the portion of the distribution you are trying to quantify. Now, find the z score closest to the point below which 97.5 percent of the values fall. Last, write down the z equation with the values for z, µ, and o in their proper places and solve for X.
Q13: What is the raw score on Test 2 below which 97.5 percent of the scores can be found (i.e., the percentile point)? Round to two decimal places if necessary. Hint: Sketch and annotate a z distribution to clarify the portion of the distribution you are trying to quantify. Now, find the z score closest to the point below which 97.5 percent of the values fall. Last, write down the z equation with the values for z, µ, and o in their proper places and solve for X.
Test 2: population mean of 50 and standard deviation of 12
Transcribed Image Text:Q13: What is the raw score on Test 2 below which 97.5 percent of the scores can be found (i.e.,
the percentile point)? Round to two decimal places if necessary.
Hint: Sketch and annotate a z distribution to clarify the portion of the distribution you are trying
to quantify. Now, find the z score closest to the point below which 97.5 percent of the values
fall. Last, write down the z equation with the values for z, u, and o in their proper places and
solve for X.
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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