Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your responses to three or more decimal places. Send data to Excel Winter Spring Summer Fall Total Observed frequency 45 39 50 56 190 fo Expected frequency 47.50 47.50 fE 1.521 0.132 fg

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Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain in the Northwest asked just this question. Some data collected by the chain are summarized in the table below.

The data were obtained from a random sample of 190 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories.

 

−fOfE2
 
fE
=
 
−Observed frequencyExpected frequency2
 
Expected frequency
Part 1
Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your
responses to
fE
three or more decimal places.
Send data to Excel
Winter
Spring
Summer
Fall
Total
Observed
frequency
45
39
50
56
190
fo
Expected
frequency
47.50
47.50
fE
(fo fa
fE
1.521
0.132
Transcribed Image Text:Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your responses to fE three or more decimal places. Send data to Excel Winter Spring Summer Fall Total Observed frequency 45 39 50 56 190 fo Expected frequency 47.50 47.50 fE (fo fa fE 1.521 0.132
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