According to the N.Y. Times Almanac the mean family size in the U.S. is 3.18. A sample of a college math class resulted in the following family sizes: 5; 4; 5; 4; 4; 3; 5; 4; 3; 2; 5; 5; 6; 2; 3; 2; 7; 4; 5; 2; 2; 3; 4; 2. At  ? = 0.05  level, is the class's mean family size greater than the national average? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)   a)State alpha. (Enter an exact number as an integer, fraction, or decimal.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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According to the N.Y. Times Almanac the mean family size in the U.S. is 3.18. A sample of a college math class resulted in the following family sizes:

5; 4; 5; 4; 4; 3; 5; 4; 3; 2; 5; 5; 6; 2; 3; 2; 7; 4; 5; 2; 2; 3; 4; 2.

At 

? = 0.05

 level, is the class's mean family size greater than the national average?

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

 

a)State alpha. (Enter an exact number as an integer, fraction, or decimal.)

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