A test was conducted to see whether CGPA of final year students taking Science and Technology courses is normally distributed. The first column in Table 2 shows normal distribution divided into 4 ranges. The second column shows the proportions of a normal distribution falling in the ranges specified in the first column. Note that if the distribution were normal, then there would have been only about 35 scores between 0 and 1, whereas 60 were observed. Table 2 Range proportion observe frequency above 1 0.159 9 0 to 1 0.341 60 -1 to 0 0.341 17 below -1 0.159 19 (i) Find the expected values for each range. (ii) If the test statistic is ?2 = 12.156, state your conclusion on the CGPA distribution of the final year students whether it is normally distributed at ? = 0.01.

A test was conducted to see whether CGPA of final year students taking Science and Technology courses is normally distributed. The first column in Table 2 shows normal distribution divided into 4 ranges. The second column shows the proportions of a normal distribution falling in the ranges specified in the first column. Note that if the distribution were normal, then there would have been only about 35 scores between 0 and 1, whereas 60 were observed. Table 2 Range proportion observe frequency above 1 0.159 9 0 to 1 0.341 60 -1 to 0 0.341 17 below -1 0.159 19 (i) Find the expected values for each range. (ii) If the test statistic is ?2 = 12.156, state your conclusion on the CGPA distribution of the final year students whether it is normally distributed at ? = 0.01.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A population has a mean of 45 If 6 points are added to each score What is the mean for the new distribution?
What type of distribution is this : you measure the GPA of every student in a high school to the nearest thousandth?
Define population and sample. List typical parameters from population and sample statistics.
Under what circumstances would you consider the mean, the median and the mode be the most suitable averages to be used to describe the central tendency of distribution. Also highlight the desirable qualities of a good average.
find the sample variance for the following data set using xi and (xi^2) 20.2, 21.8, 17.6 , 21.6 , 19.5 , 19.8 , 18.6
How is a frequency distribution chart incorrectly constructed?
Mean = 5.2 Median=3 Mode= 2 Graph what the distribution would look like. Is it normally distributed? If not, how is it skewed and what might cause this type of skew to the distribution?
Where are most of the data gathered in a negatively skewed distribution? Which value is largerthe mean or the median?
Can the measure of central tendency tell a researcher how spread out the scores are in a distribution?
F budy A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, μ, of cars rented in the U.S. this year. The consumer group has good reason to believe that the mean monthly mileage of cars rented in the U.S. this year is greater than last year's mean, which was 2700 miles. The group plans to do a statistical test regarding the value of u. It chooses a random sample of monthly mileages and computes the mean of the sample to be 2800 miles and the standard deviation to be 750 miles. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? H₂ : Η H₁ :0 (b) Suppose that the group decides to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ (c) Suppose the true mean monthly mileage of cars rented in the U.S. this year is 2700. Fill in…