Question

In: Statistics and Probability

A computer random number generator was used to generate 550 random digits (0,1,...,9). The observed frequences...

A computer random number generator was used to generate 550 random digits (0,1,...,9). The observed frequences of the digits are given in the table below. 0 1 2 3 4 5 6 7 8 9 58 55 45 50 53 50 57 57 46 79 Test the claim that all the outcomes are equally likely using the significance level ?=0.05.

The expected frequency of each outcome is

E=

The test statistic is

?2=

The p-value is

Is there sufficient evidence to warrant the rejection of the claim that all the outcomes are equally likely?

A. Yes

B. No

Expert Solution

(a)

The Expected Frequency (E) of each outcome = 550/10 = 55

(b)

O (O - E)²/E

58 0.1552

55 0

45 2.2222

50 0.5

53 0.0755

50 0.5

57 0.8596

46 1.7609

79 7.2911

----------------------------------------------

= 13.7241

Test statistic is:

13.7241

(c)

= 13.7241

ndf = 10 - 1 = 9

By Technology,

p-value = 0.1325

(d) Since p-value is greater than , Fail to reject H0.

Correct option:

B. No

orchestra answered 2 years ago

A computer random number generator was used to generate 750 random digits (0,1,...,9). The observed frequences...

A computer random number generator was used to generate 750 random digits (0,1,...,9). The observed frequences of the digits are given in the table below. 0 1 2 3 4 5 6 7 8 9 81 62 74 82 76 75 70 66 80 84 Test the claim that all the outcomes are equally likely using the significance level α=0.05α=0.05. The expected frequency of each outcome is E= The test statistic is χ2= The p-value is Is there sufficient evidence...

A computer random number generator was used to generate 950 random digits from 0 to 9....

A computer random number generator was used to generate 950 random digits from 0 to 9. The observed frequencies of the digits are given in the table below. 0 1 2 3 4 5 6 7 8 9 88 82 97 84 87 87 95 93 90 147 Using a 0.05significance level, test the claim that all of the digits are equally likely. (a) Find the rejection region. Reject H0 if χ2> (b) Find the test statistic. (Round your final...

A random number generator produces a sequence of 18 digits (0, 1, ..., 9). What is...

A random number generator produces a sequence of 18 digits (0, 1, ..., 9). What is the probability that the sequence contains at least one 3? (Hint: Consider the probability that it contains no 3's. Round your answer to four decimal places.)

Question 1. Go to random.org. This website is a random number generator. Use it to generate...

Question 1. Go to random.org. This website is a random number generator. Use it to generate three numbers a, b, c between -10 and 10. Now let your a, b and c be the coefficients of the quadratic function f(x)=ax2 +bx+c. (For example, if the numbers you generated happened to be a = 2,b = 12, c = −1, your function for the rest of the question would bef(x) = 2x2 +12x−1.) (a) Put f(x) into “standard” or “vertex” formf(x)=a(x−h)2...

Using MS Excel and the random number generator function, generate values for 30 observations for the...

Using MS Excel and the random number generator function, generate values for 30 observations for the following columns with average daily: Body weight with random values between 100 and 250lbs Calories intake with random values between 1000 and 3000 calories Workout duration with random values between 0 and 60 minutes Sleep duration with random values between 2 and 12 hours Work duration with random values between 0 and 12 hours Assuming that the values are averages over 1 year, conduct...

Develop a random number generator for a Poisson distribution with mean = 10. Generate five values...

Develop a random number generator for a Poisson distribution with mean = 10. Generate five values manually with a random number table. Please show work.

In java Modify your finished guessNumber.java program to include a random number generator to generate the...

In java Modify your finished guessNumber.java program to include a random number generator to generate the guessed number (from 1 to 10). use the Random class to generate a random number between a range of integers. In your program include an if … then statement to check if the number you entered is bigger or smaller than the guessed number, and display a message. Also included is a counter to keep track on how many times the user has guessed,...

Collect the Data: Use a random number generator to generate 50 values between 0 and 1...

Collect the Data: Use a random number generator to generate 50 values between 0 and 1 (inclusive). Theoretical Distribution In words, X = The theoretical distribution of X is X ~ U(0, 1). In theory, based upon the distribution X ~ U(0, 1), find μ = __________ σ = __________ 1st quartile = __________ 3rd quartile = __________ median = __________ Construct a box plot of the data. Be sure to use a ruler to scale accurately and draw straight...

9. Generate a random number between 1 and 8, which is the computer’s number. Ask the...

9. Generate a random number between 1 and 8, which is the computer’s number. Ask the user to guess a number between 1 and 8. Write a sentinel-controlled loop to continue to executed until the user’s guess matches the computer’s number. If the user's guess matches the random number, print a message in green on the SenseHat congratulating the user and then break out of the loop. Otherwise, print a message in red on the SenseHat to ask the user...

A computer was used to generate ten random numbers from a normal distribution with a set...

A computer was used to generate ten random numbers from a normal distribution with a set of unknown mean and variance: −1.1623, 0.2210, 1.6518, −1.1312, −0.2879, −1.0458, 1.3706, −0.7492, −0.1355, −1.2686. Eight more random normal numbers with the same variance perhaps a different mean were then generated (the mean may or may not actually be different): 0.3472, 2.2437, 1.0712, 2.5906, 0.5163, −1.1743, 0.0473, −0.8338. (a) What do you think the means of the random normal number generators were? What do...