Consider the observed frequency distribution for a set of grouped random variables available below. Perform a...

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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 0. There is insufficient/sufficient evidence to conclude that the random variable does not follow the normal probability distribution.

math Statistics-And-Probability

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Answer 1

Answer #1

The statistical software output for this problem is:

Hence,

Chi - square test statistic = 3.9214

p - Value = 0.2701

Do not reject Ho. There is insufficient evidence to conclude that the random variable does not follow the normal probability distribution.

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Answer 2

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