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Assume that a simple random sample has been selected from a normally distribute population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim.
In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 242.2 sec and a standard deviation of 53.81 sec. Use a 0.05 significance level and the accompanying Minitab display to test the claim that the sample is from a population of songs with a mean greater than 210 sec. What do these results suggest about the advice given in the manual?
Minitab display
One-Sample T
Test of mu = 210 vs> 210
N 40 Mean 242.20 StDev 53.81 SE Mean 8.51 95% Lower Bound 227.86 T 3.78 P 0.000
What are the hypotheses?
construction of control chart,n chart
Median Median is a position average. It is the value of middle item of a variable when the items are arranged according to their values either in ascending or descending order.
Explain any two applications of statistics
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Examples of grouped, simple and frequency distribution data
Grouped Data In order to find the median, the median class is to be first located and then interpolation is to be used by assuming that items are evenly spaced over the entire
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