The average amount of time boys and girls ages 7 to 11 spend playing sports each day is believed to be the same. A study is done and data are collected, resulting in the data in table. Each populations has a normal distribution. Order goes from left to right: Sample size, avg # of hrs playing sports per day, sample standard deviation Girls 9 2 0.8660 Boys 16 3.2 1.0 is there a difference in the mean amount of time boys and girls age 7 to 11 play sports each day? Test at the 5% level of significance. Assume that the variances are not equal. Subscripts: 1: Girls; 2: Boys What is the question/claim to be tested in symbols the hypothesis is Ho: Ha: which hypothesis matches the claim test objective is to reject or support level of significance a=.05 type of test (left, right, two-tailed) the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST) calculate the applicable test statistic z or t= p-value= compare p-value to a (eg. p-value greater than or less than a) decision (reject Ho/Failed to reject) evidence (enough/not enough) test objective is to (reject/support): conclusion: at __ level of significance, _ ___ that there is a difference in the mean amount of time boys and girls aged seven to 11 play sports each day.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average amount of time boys and girls ages 7 to 11 spend playing sports each day is believed to be the same. A study is done and data are collected, resulting in the data in table. Each populations has a normal distribution.

Order goes from left to right: Sample size, avg # of hrs playing sports per day, sample standard deviation

Girls	9	2	0.8660
Boys	16	3.2	1.0

is there a difference in the mean amount of time boys and girls age 7 to 11 play sports each day? Test at the 5% level of significance. Assume that the variances are not equal.

Subscripts: 1: Girls; 2: Boys

What is the question/claim to be tested in symbols

the hypothesis is

Ho:

Ha:

which hypothesis matches the claim

test objective is to reject or support

level of significance a=.05

type of test (left, right, two-tailed)

the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)

calculate the applicable test to be applied is (2-sampZTEST/2-sampTTEST, 2-propZTEST)

calculate the applicable test statistic
z or t=

p-value=

compare p-value to a (eg. p-value greater than or less than a)

decision (reject Ho/Failed to reject)

evidence (enough/not enough)

test objective is to (reject/support):

conclusion:

at ____ level of significance, _____ _____ that there is a difference in the mean amount of time boys and girls aged seven to 11 play sports each day.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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