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Virty [35]
2 years ago
12

Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for ea

ch roll should be: 1 2 3 4 5 6 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % You roll the die 84 times and come up with the
Mathematics
1 answer:
Sonja [21]2 years ago
3 0

Answer:

Goodness of fit

Step-by-step explanation:

Given

The theoretical probabilities

<em>See comment for complete question</em>

<em></em>

Required

The type of test to be use

From the question, we understand that you are to test if the die is loaded or not using the given theoretical probabilities.

This test can be carried out using goodness of fit test because the goodness of fit is basically used to check the possibility of getting the outcome variable from a distribution. In this case, the outcome of the variables are the given theoretical probabilities.

In a nutshell, the goodness fit of test determines if the given data (in this case, the theoretical probabilities) is a reflection of what to expect in the original population.

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Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

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d. None of the above.

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Assume men's height follow a normal curve ; and :

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Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

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