a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. x = %3D c. What are the degrees of freedom? degrees of freedom %3D
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Acme Toy Company prints baseball cards. The company claims that 30% of the cards are rookies, 60% are
veterans, and 10% are All-Stars. Suppose a random sample has the following cards. Test Acme's claim that
the distribution is a good fit with the prints of baseball cards at an a = 0.05 level of significance.
Observed
Expected
Frequency
Category
Frequency
Rookies
25
Veterans
110
All-Stars
15
a. Complete the table by calculating the expected frequencies.
b. What is the chi-square test statistic? Round to three decimal places.
c. What are the degrees of freedom?
degrees of freedom =
d. What is the p-value for this sample? Round to four decimal places.
p-value =
e. Is the p-value less than a? ?
f. Make a decision.
O Reject the null.
O Fail to reject the null.
g. Make a conclusion.
O There is not sufficient evidence to support the claim that Acme's distribution of baseball cards
is a good fit.
There is sufficient evidence to support the claim that Acme's distribution of baseball cards is a
good fit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbaf8f87-9a19-4b4f-ab9f-8e0e0ef63545%2F67fc7d00-a4cf-4867-9eb1-4feb70d5c179%2Frzhmr6p_processed.jpeg&w=3840&q=75)
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