Snoop Incorporated is a firm that does market surveys. The Rollum Sound Company hired Snoop to study the age distribution of people who stream music. To check the Snoop report, Rollum used a random sample of 519 customers and obtained the following data. Customer Age (yrs) Percent of Customers from Snoop Report Number of Customers from Sample Less than 14 12% 93 14 - 18 29% 128 29 - 23 11% 50 24 - 28 10% 44 29 - 33 14% 71 More than 33 24% 133 Using a 1% level of significance, test the claim that the distribution of customer ages in the Snoop report agrees with that of the sample report. a) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
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.
Snoop Incorporated is a firm that does market surveys. The Rollum Sound Company hired Snoop to study the age distribution of people who stream music. To check the Snoop report, Rollum used a random sample of 519 customers and obtained the following data.
| Customer Age (yrs) | Percent of Customers from Snoop Report | Number of Customers from Sample |
| Less than 14 | 12% | 93 |
| 14 - 18 | 29% | 128 |
| 29 - 23 | 11% | 50 |
| 24 - 28 | 10% | 44 |
| 29 - 33 | 14% | 71 |
| More than 33 | 24% | 133 |
Using a 1% level of significance, test the claim that the distribution of customer ages in the Snoop report agrees with that of the sample report.
a) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
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