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Test the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion about the null hypothesis, and final conclusion that address the original claim.
A manual states that in order to be a hit, a song must be no longer than three minutes and ten seconds (or 190 seconds). A simple random sample of 45 current hit songs results in a mean length of 255.0 sec. Assume the population standard deviation of song lengths is 53.5 sec. Use a 0.05 significance level to test the claim that the sample is from a population of songs with a mean greater than 190 sec. What do these results suggest about the advice given in the manual?
What are the null and alternative hypotheses?
operation
Quota sampling Under this method enumerators shall select the respondents in place of those not available, as per the quota fixed according to guide lines provided to them.
Importance of official statistic
Multi stage or Cluster Random sampling Under this method, the random selection is made of primary, intermediate and final units from a given population. The area of investigat
If the test is two-tailed, H1: μ ≠ μ 0 then the test is called two-tailed test and in such a case the critical region lies in both the right and left tails of the sampling distr
Systematic Random Sampling This method is generally used in such cases where a complete list of the population is available from which sample has to be selected. Under this
In an examination 600 candidates appeared, boys outnumbered girls by 16% of all candidates. number of passed candidates exceeded the number of failed candidates by 310. Boys failin
Definition of Central Tendency The central tendency of a variable means a typical value around which other values tend to concentrate which can be measured. Such concentration
The mean tax-return preparation fee H&R Block charged retail customers in 2012 was $183 (The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume t
Mathematical Properties The sum of deviations of the items from the arithmetic mean (taking signs into account) is always zero, i.e. = 0. The sum of
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