Consider the observed frequency distribution for a set of grouped random variables available below. Perform a chi-square test using a=0.05 to determine if the observed frequencies follow the normal probability distribution with mu=99 and sigma=21.
Random Variables X | Frequency Fo |
Less than 78 | 10 |
78 to under 99 | 15 |
99 to under 120 | 19 |
120 and more | 6 |
Total | 50 |
Calculate the chi-square test statistic, chi squared χ2=_____.
p-value=______.
Consider the observed frequency distribution for a set of grouped random variables available below. Perform a...
Consider the observed frequency distribution for a set of grouped random variables available below. Perform a chi-square test using a alpha=0.05 to determine if the observed frequencies follow the normal probability distribution with mu=99 and sigma=20. Random Variable, x Frequency, f o Less than 79 9 79 to under 99 16 99 to under 119 18 119 and more 7 Total 50 Calculate the chi-square test statistic, χ2. χ2.=____ Determine the p-value_____ State the appropriate conclusion: Do not reject/Reject H...
Consider the observed frequency distribution for the set of random variables. a. Perform a chi-square test using alpha=0.05 to determine if the observed frequencies follow the binomial probability distribution when p=0.50 and n=4. b. Determine the p-value and interpret its meaning. Random Variable, X Frequency, Fo 0 29 1 96 2 151 3 96 4 28 Total 400 The chi-square test statistic is chi squared, χ2=______ p-value=______
Consider the observed frequency distribution for a set of grouped random variables available below. Perform a chi square test using a α =0.05 to determine if the observed frequencies follow the normal probability distribution with u-101 and ơ-19 EEl Click the icon to view the observed frequency distribution. State the appropriate null and alternative hypotheses. What is the null hypothesis? O A. H The mean number of the random variable is equal to 101 O B. Ho: The mean number...
A distribution and the observed frequencies of the values of a variable from a simple random sample of the population are provided below. Use the chi-square goodness-of-fit test to decide, at the specified significance level, whether the distribution of the variable differs from the given distribution Distribution: 0.1875, 0.1875, Observed frequencies: 16, 20, 24, 36 Significance level 0.05 0.3125, 0.3125 Determine the null and alternative hypotheses. Choose the correct answer below. OA. H: The distribution of the variable differs from...
Consider the following discrete probability distribution along with observed frequencies for each day of the week. Complete parts a and b below. Weekday Monday Tuesday Wednesday Thursday Friday Total Probability 0.10 0.20 0.05 0.30 0.35 1.00 Observed Frequency, f Subscript o 12 26 9 39 44 130 a. Perform a chi-square test using alphaequals0.05 to determine if the observed frequencies follow a discrete probability distribution. Determine the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0:...
A large number of random variables observed in nature possess a frequency distribution that is approximately mound-shaped and can be modelled by a normal probability distri- bution. (1) True. (2) False.
Consider the following frequency table of observations on the random variable X. Values 0 1 2 3 4 5 Observed Frequency 8 25 22 21 16 8 (a) Based on these 100 observations, is a Poisson distribution with a mean of 2.4 an appropriate model? Perform a goodness-of-fit procedure with α=0.05. Which of the following is the correct conclusion? (b) Which of the following are the correct bounds on the P-value for this test.
Using the given table, calculate the following answers. Show all equations used. Use an alpha value of 0.05 Observed Frequencies Under 39 39 to 49 50 and over Promoted 42 36 18 Not Promoted 78 44 40 9 What is the Expected Frequency for "Under 39" and "Not Promoted?" 10 What is the Expected Frequency for "50 and over" and "Promoted?" 11 What is the value for the Test Statistic? 12 What is the p-value for this Chi-square Test of...
The frequency distribution shows the results of 200 test scores. Are the test scores normally distributed? Use a =0.01. Complete parts (a) through (e). Class boundaries 49.5-58.5 58.5-67.5 Frequency, f 19 62 D 67.5-76.5 81 76.5-85.5 33 85.5-94.5 5 Using a chi-square goodness-of-fit test, you can decide, with some degree of certainty, whether a variable is normally distributed. In all chi-square tests for normality, the null and alternative hypotheses are as follows. Ho: The test scores have a normal distribution....
I know that the sum of square of normal random variables follow a chi-square distribution. But when I learn how to do a goodness-fit test I don't know why the ratio of (O-E)^2/E follows a chi-square. I tried to square root of it first so that I might get something looks like a normal, but my new question arises : why (O-E)/sqrt(E) follows a normal-distribution? I know from sampling distribution that if the sample is from the same distribution as...