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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?
2.1 Modern hotels and certain establishments make use of an electronic door lock system. To open a door an electronic card is inserted into a slot. A green light indicates that the
Frequency distribution A frequency distribution is a series where a number of items with similar values are put in separate groups or bunches. In other words a frequency distri
You will recall the function pnorm() from lectures. Using this, or otherwise, Dteremine the probability of a standard Gaussian random variable exceeding 1.3. Using table(), or
Binomial Distribution Binomial distribution was discovered by swiss mathematician James Bernonulli, so this distribution is called as Bernoulli distribution also, this is a d
Test for Equality of Proportions For example, we may want to test whether the percentage of smokers (p 1 ) among the males equals the percentage of female smokers (p 2 ). W
A. Compute descriptive statistics for each stock and the S&P 500. Comment on your results. Which stocks are most volatile?
Using log(x1), log(x2) and log(x3) as the predictors, do pair wise scatterplots of all pairs of variables (including the response) and comment (use the pairs function). Do you thin
Sample Standard Deviation So far, we discussed the population standard deviation. Now, let us switch to sample standard deviation(s) that is analogous to the population stand
Linear Programming
Main stages of Statistical Inquiry The following are the various stages of a statistical inquiry (1) Planning the Inquiry: First of all we have to assess the problem und
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