A researcher knows that the weights of 3-year old children are normally distribu

Question

A researcher knows that the weights of 3-year old children are normally distributed with mu = 40 pounds and sigma = 8. She speculates that children in poverty-stricken regions are undernourished and therefore underweight. With a sample of N = 12 children in a poverty-stricken zone of a large metropolitan city, the researcher obtained the weights of each child. Determine if the weights for this sample are significantly lower than what would be expected for the regular population of 3-year-olds. The weights (in pounds) for this sample are: 48, 45, 42, 37, 29, 33, 35, 39, 24, 32, 40, 42 Which hypothesis test needs to be employed here, the z test or the one-sample t test? z test one-sample t test An administrator in charge of undergraduate education at UT Permian Basin wanted to know whether the number of books that professors require of students per course has changed in Spring semester as compared to the previous Spring semester a year ago. The administrator knows that a year ago in Spring the mean number of books that instructors required per course was normally distributed with mu = 2.2 and sigma = 0.6. With a sample of N = 15 classes this current Spring semester, the administrator obtained the following number of books that a professor required per class: 1, 3, 0, 2, 1, 5, 4, 2, 2, 7, 1, 1, 2, 2, 3 Is this a one-tailed H_A or a two-tailed H_A? one-tailed two-tailed

Explanation / Answer

Q4) Z test because population is normally distributed and population standard deviation is known

Q5) Two tailed test because we want to know whether the mean has changed or not

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