Stats: Data and Models
Stats: Data and Models
5th Edition
ISBN: 9780135164013
Author: DeVeaux
Publisher: PEARSON CO
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Chapter 22, Problem 1E

a.

To determine

Find the expected number of birth in each season if there is no “seasonal effect” on births.

a.

Expert Solution
Check Mark

Answer to Problem 1E

The expected number of birth in each season is 30 births per season.

Explanation of Solution

Given info:

The data represents the census of 120 students who are born in different season namely summer with 32, winter with 25, spring with 35 and fall with 28.

Calculation:

The general formula for expected count:

Expected count=observed frequency×percentage of each season.

The expected count for each seasonal value can be obtained by the product of observed frequency with the percentage of each season:

Let observed value is the value of total students in the class which is 120 and percentage value is 0.25(25 percent) which does not change due to seasonal effect in the data.

Expected count for summer=observed frequency×percentage of summer=120×0.25=30

Therefore, the remaining expected count for each season as follows:

SeasonExpected count
Winter30
Summer30
Spring30
Fall30

Thus, the expected number of birth in each season is 30 births per season.

b.

To determine

Compute the χ2statistic value.

b.

Expert Solution
Check Mark

Answer to Problem 1E

The value of χ2 is 1.933.

Explanation of Solution

Calculation:

The test statistic can be obtained as follows:

χ2=observedExpected2Expected=2530230+3530230+3230230+28302301.933

Thus the value of test statistic is 1.933.

c.

To determine

Compute degrees of freedom for the χ2statistic value.

c.

Expert Solution
Check Mark

Answer to Problem 1E

The degree of freedom for the test statistic is 3.

Explanation of Solution

Calculation:

Degrees of freedom:

Here, there are four seasons.

The degrees of freedom is,

Number of seasons1=41=3

Thus, the degree of freedom for the test statistic is 3.

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Chapter 22 Solutions

Stats: Data and Models

Ch. 22 - 2. Bank cards At a major credit card bank, the...Ch. 22 - 3. Human births, again For the births in Exercise...Ch. 22 - 4. Bank cards, again For the customers in Exercise...Ch. 22 - 5. Customer ages An analyst at a local bank...Ch. 22 - 6. Bank cards, once more A market researcher...Ch. 22 - Prob. 7ECh. 22 - Prob. 8ECh. 22 - Prob. 9ECh. 22 - 10. Iliad weapons The Iliad also reports the cause...Ch. 22 - Prob. 11ECh. 22 - 12. Which test, again? For each of the following...Ch. 22 - 13. Dice After getting trounced by your little...Ch. 22 - 14. M&M’s As noted in an earlier chapter, Mars...Ch. 22 - Prob. 15ECh. 22 - 16. Mileage A salesman who is on the road visiting...Ch. 22 - 17. NYPD and race Census data for New York City...Ch. 22 - Prob. 18ECh. 22 - 19. Fruit flies Offspring of certain fruit flies...Ch. 22 - 20. Pi Many people know the mathematical constant...Ch. 22 - Prob. 21ECh. 22 - 22. Lottery numbers The fairness of the South...Ch. 22 - Prob. 23ECh. 22 - Prob. 24ECh. 22 - Prob. 25ECh. 22 - Prob. 26ECh. 22 - 27. Childbirth, part 3 In Exercises 23 and 25,...Ch. 22 - 28. Does your doctor know? (part 3) In Exercises...Ch. 22 - Prob. 29ECh. 22 - Prob. 30ECh. 22 - Prob. 31ECh. 22 - Prob. 32ECh. 22 - Prob. 33ECh. 22 - Prob. 34ECh. 22 - Prob. 35ECh. 22 - 36. NYPD again Examine and comment on this table...Ch. 22 - Prob. 37ECh. 22 - 38. Car origins A random survey of autos parked in...Ch. 22 - 39. Montana A poll conducted by the University of...Ch. 22 - 40. Fish diet Medical researchers followed 6272...Ch. 22 - Prob. 41ECh. 22 - 42. Working parents In April 2009, Gallup...Ch. 22 - Prob. 43ECh. 22 - Prob. 44ECh. 22 - Prob. 45ECh. 22 - 46. Full moon, next phase In Exercise 44, you...Ch. 22 - Prob. 47ECh. 22 - Prob. 48ECh. 22 - Prob. 49ECh. 22 - Prob. 50E
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