Question

In: Statistics and Probability

Questions 36-39: Six numbers are selected at random from a random number generator and entered into...

Questions 36-39: Six numbers are selected at random from a random number generator and entered into each of four rows. The summary statistics are presented in the chart below.

	Mean	SD
Row 1	5.8	0.78
Row 2	3.6	0.23
Row 3	5.5	0.32
Row 4	4.0	0.59

Assume the populations are normal with equal variances. It is of interest to test the following:
H_o: μ₁ = μ₂ = μ₃ = μ₄

36. What are the degrees of freedom for the test statistic?: *

(A) 3 and 18

(B) 3 and 20

(C) 4 and 22

(D) 4 and 24

37. What type of test should be used here?: *

(A) F test

(B) T test

(C) Chi-square test

(D) Kolmogorov-Smirnov test

38. What is the critical value at the 0.05 significance level?: *

(A) 3.1

(B) 2.7

(C) 2.1

(D) 4.9

39. What is the correct decision?: *

(A) Reject the null, because the test statistic is larger than the critical value.

(B) Don’t reject the null, because the test statistic is smaller than the critical value.

(C) Reject the null, because the test statistic is smaller than the critical value.

(D) Don’t reject the null, because the test statistic is larger than the critical value.

Expert Solution

orchestra answered 1 year ago

Below are 50 random numbers taken from a random number generator. 0.534 0.401 0.401 0.445 0.445...

Below are 50 random numbers taken from a random number generator. 0.534 0.401 0.401 0.445 0.445 0.125 0.094 0.094 0.104 0.104 0.345 0.259 0.259 0.288 0.288 0.785 0.589 0.589 0.654 0.654 0.975 0.731 0.731 0.813 0.813 0.834 0.626 0.626 0.695 0.695 0.683 0.512 0.512 0.569 0.569 0.322 0.242 0.242 0.268 0.268 0.526 0.395 0.395 0.438 0.438 0.234 0.176 0.177 0.198 0.196 a) Using 5 class intervals, determine the computed chi-square value. Answer in 1 decimal place. b) What is...

The Random class implements a random number generator, which produces sequences of numbers that appear to...

The Random class implements a random number generator, which produces sequences of numbers that appear to be random. To generate random integers, you construct an object of the Random class, and then apply the nextInt method. For example, the call generator.nextInt(6) gives you a random number between 0 and 5. Write a program DieSimulator that uses the Random class to simulate the cast of a die, printing a random number between 1 and 6 every time that the program is...

Suppose you have access to a random number generator Rng() that generates uniform random numbers in...

Suppose you have access to a random number generator Rng() that generates uniform random numbers in {0, 1, . . . , n − 1}. Design a function uses Rng() generate a uniform random number in {0, 1, . . . , m − 1}, where m ≤ n

Use a random number generator to produce 1000 uniformly distributed numbers with a mean of 10, a

Use a random number generator to produce 1000 uniformly distributed numbers with a mean of 10, a minimum of 2, and a maximum of 18. Obtain the mean and the histogram of these numbers, and discuss whether they appear uniformly distributed with the desired mean.

Use a random number generator to produce 1000 normally distributed numbers with a mean of 20

Use a random number generator to produce 1000 normally distributed numbers with a mean of 20 and a variance of 4. Obtain the mean, variance, and histogram of these numbers, and discuss whether they appear normally distributed with the desired mean and variance.

1. A random number generator claims to randomly choose real numbers between 0 and 3000. (a)...

1. A random number generator claims to randomly choose real numbers between 0 and 3000. (a) If this is true, what kind of distribution would the randomly chosen numbers have? (b) What would be the mean of this distribution? (c) What would be the standard deviation of this distribution? (d) Say we take a sample of 65 generated numbers and obtain a sample mean of 1552. What do we know about the sampling distribution of the sample mean and how...

A random number generator picks a number from 7 to 68 in a uniform manner. Round...

A random number generator picks a number from 7 to 68 in a uniform manner. Round answers to 4 decimal places when possible. The mean of this distribution is The standard deviation is The probability that the number will be exactly 42 is P(x = 42) = The probability that the number will be between 16 and 28 is P(16 < x < 28) = The probability that the number will be larger than 48 is P(x > 48) =...

1.) Using excel. A random number generator picks a number from one to nine in a...

1.) Using excel. A random number generator picks a number from one to nine in a uniform manner. X ~ _________ Graph the probability distribution. f(x) = _________ μ = _________ σ = _________ P(3.5 < x < 7.25) = _________ P(x > 5.67) P(x > 5|x > 3) = _________ Find the 90th percentile. 2) using excel A subway train on the Red Line arrives every eight minutes during rush hour. We are interested in the length of time...

A random number generator picks a number from 18 to 64 in a uniform manner. Round...

A random number generator picks a number from 18 to 64 in a uniform manner. Round answers to 4 decimal places when possible. The mean of the distribution is: The standard deviation is: The probability that the number will be exactly 20 is P(x = 20) = The probability that the number will be between 24 and 26 is P(24 < x < 26) = The probability that the number will be larger than 32 is P(x > 32) =...

A number is selected at random from the set {1,2,...,20}. Then a second number is selected...

A number is selected at random from the set {1,2,...,20}. Then a second number is selected randomly between 1 and the ﬁrst number selected. What is the probability that the second number is 5?