Testing Goodness-of-Fit with a Normal Distribution Refer to Da...

Question

Testing Goodness-of-Fit with a Normal Distribution Refer to Data Set 1 “Body Data” in Appendix B for the heights of females.

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a. Enter the observed frequencies in the table above.

Accepted Answer

Welcome back, everyone. A botanist measures the heights in centimeters of 16 sunflower plants and records the following values. Use the height intervals be allowed to complete the frequency table by counting how many sunflower heights fall into each category. So we're given our table. In the first row, we're given heights and centimeters, and in the second one, there's frequency. So let's begin with the first category. It says less than 45.0. So now let's analyze our data set and let's identify the values that are less than 45.0. Those would be 42.3 and 44.8, right? We can notice that our values are arranged in ascending order, so the third value is 46.2, which is greater than 45.0, meaning we only have two values, so our frequency is 2. Now, the second category is between 45 and 55, right? So let's identify those. We have 46.2, 48.0, 50.5, 53.7, and 54.9. So this is where we stop because the next value is 56.1 and it is greater than 55. So now, let's count how many of those we have. One. 234, and 5, right? So we have a total of 5, which means that our frequency is 5. The next category is between 55 and 65, so those would be 56.1, 58.3, 60, 62.5, and 64.8. The next value is 66.2, which is higher than 65. So now, how many of those do we have? That would be 123. 4 and 5. So again, we have a frequency of 5, and finally greater than 65.0. So those will be 66.2, 68.0, 70.5, and 72.1, 1234 values, meaning the frequency is 4. Well then, so we have identified all of the frequencies for the table and thank you for watching.

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Testing Goodness-of-Fit with a Normal Distribution Refer to Data Set 1 “Body Data” in Appendix B for the heights of females.

a. Enter the observed frequencies in the table above.

Key Concepts

Goodness-of-Fit Test

Observed Frequencies

Normal Distribution

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Testing Goodness-of-Fit with a Normal Distribution Refer to Data Set 1 “Body Data” in Appendix B for the heights of females.a. Enter the observed frequencies in the table above.