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Scenario: During recent seasons, Major League Baseball has been criticized for the length of the games. A report indicated that the average game lasts 3 hours and 30 minutes. A sample of 17 games revealed the following times to completion. (Note that the minutes have been changed to fractions of hours, so that a game that lasted 2 hours and 24 minutes is reported at 2.40 hours.)
Times:
2.98 2.40 2.70 2.25 3.23 3.17 2.93 3.18 2.80
2.38 3.75 3.20 3.27 2.52 2.58 4.45 2.45
Question:
Can we conclude that the mean time for a game is less than 3.50 hours? Use the .05 significance level.
You want to determine if your widgets from machine 1 are the same as machine 2. Machine 1 has a sample mean of 50 and a population standard deviation of 5 and a sample size of 25.
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About 40% of the general population donate time and energy to community projects. Suppose 15 people have been randomly selected from a community and each asked whether he or she donates time and energy to community projects.
Calculate the value of the chi-square statistic and test whether all regions are statistically the same at 5% and 1% level tests.
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Conduct a one-tailed hypothesis test given the information below. A certain brand of Green Energy light bulbs was advertised as having an average illumination life-span of 2,500 hours.
Use the 5% level of significance. (a) Define null and alternate hypotheses. (b) Determine the value of sample test statistic? (c) Determine(or estimate) P-value.
Find the probability that student A made no mistakes when entering a randomly selected form. Find the probability that student B made no mistakes when entering a randomly selected form.
A poll found that 38% of male voters and 46% of female voters support a particular candidate. To test whether this candidate has equal levels of support between male and female voters, the null hypothesis should be:
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