In many cases, your homework problems state, "assume the data is normally distributed". Why is testing for normality important?
A normality test is used to determine whether sample data has been drawn from a normally distributed population (within some tolerance). A number of statistical tests, such as the Student's t-test and the one-way and two-way ANOVA require a normally distributed sample population.
Deviations from normality, called non-normality, render those statistical tests inaccurate, so it is important to know if your data are normal or not.
In many cases, your homework problems state, "assume the data is normally distributed". Why is testing for...
Exercises For the following problems, unless instructed otherwise, assume that the residuals are normally distributed and variances homogeneous. For each problem, recognize the ANOVA design involved, state the null hypothesis or hypotheses, and, using statistical software, construct an ANOVA table. State a biological conclusion based on your statisti- cal analysis. Where appropriate, construct an inter- action plot and interpret. All exercises are suitable for a computer solution.
According to National Testing data, college math class testing times are Normally distributed with a mean of 55 minutes and standard deviation 6 minutes. The bell curve below represents the probability distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the three indicated boxes.
Problems 1-4 assume a normally distributed population with a mean = 48 and standard deviation = 5. Be sure to sketch the curve, include formulas & work, round appropriately, and circle your final answer. What percent of the scores fall: at or below 54? at or above 40? What proportion of scores lie between 31 and 48? 31 and 54? Suppose we took a sample of 5000 scores from this distribution. Of those 5000 scores, how many would you expect...
State whether one would expect the data set described below to be normally distributed . Explain why or why not. The maximum jumping distance of all college students.
On March 28 at 1:30 pm, the actual average number of cases in a U.S. state was 2102. Does this value fall in the interval you found in question 1. Discuss why or why not, and the reason you found the result you did. Note: Here is Question 1 (On March 28 at 1:30 pm, I randomly selected 10 states and found the number of coronavirus cases in each of them. This gave me an average of 939 cases with a...
A. Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between z=−1.5z=-1.5 and z=1.5z=1.5 standard deviations of the mean (or within 1.5 standard deviations of the mean). What percent of the data points will fall in that range? Answer:___ percent (Enter a number between 0 and 100, not 0 and 1 and round to 2 decimal places) B. Assume that z-scores are normally distributed with a mean of 0 and a...
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not? Provide an example. There are many examples currently on the Chegg database, PLEASE use a DIFFERENT example. Thank you!
Unit 6 [Hypothesis Testing/Decision Making] For all Hypothesis\Decision Making Problems, please do the following: 1. Answer: Is the data discrete or continuous? 2. List the assumptions. 3. State the null and alternate hypothesis. 4 Write down the proper test statistic, Show all calculations, i.e. impute the numbers. . Set up Decision rules. Show the critical value. Reject or Fail to reject. 5. State your conclusions. 6.2.3 A random...
Use the normally distributed data below to develop the rcquested intervals. For each problem, clearly show the necessary critical value(s), a portion of the calculation steps, the final answer, and an interpretation of the interval. 46.4 43 49.6 45.7 46.8 52.8 37.4 1. Create a two-sided 95% CI for the standard deviation. (Usually, you would use a Normal Probability Plot to test the assumption of normality before constructing the interval, but we already know the data are normal.) cs canned...
Problem 1) Consider the data provided in Problem 1 of your Homework 1. Assume that the probability of State of Nature 1 is 0.30 (Prob(SNI)-0.30), the probability of State of Nature 2 is 0.45 (Rrok(SN2)-0.45), and the probability of State of Nature 3 is 0.25 Prob (SN3)-0.25). What decision is made and what is the corresponding payoff when using the expected value approach? Problem 2) Consider the data provided in Problem 2 of your Homework 1. Assume that the probability...