using the information from the uploaded picture: a) (Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) b) State the null and alternate hypotheses. H0: ?1 = ?2; H1: ?1 ≠ ?2 H0: ?1 = ?2; H1: ?1 > ?2 H0: ?1 > ?2; H1: ?1 = ?2 H0: ?1 = ?2; H1: ?1 < ?2 c) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that both population distributions are approximately normal with known standard deviations. The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with known standard deviations.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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using the information from the uploaded picture:

a) (Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.)

b) State the null and alternate hypotheses.
H0: ?1 = ?2; H1: ?1 ≠ ?2
H0: ?1 = ?2; H1: ?1 > ?2
H0: ?1 > ?2; H1: ?1 = ?2
H0: ?1 = ?2; H1: ?1 < ?2

c) What sampling distribution will you use? What assumptions are you making?
The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.

A random sample of n,- 16 communities in western Kansas gave the following information for people under 25 years of age.
x1: Rate of hay fever per 1000 population for people under 25
97 91 122 126 93 123 112 93
125 95 125 117 97 122 127 B8
A random sample of n,- 14 regions in western Kansas gave the following information for people over 50 years old.
X3 Rate of hay fever per 1000 population for people over 50
96 108
99 95 111 88 110
79 115 100 89 114 85
96
A USE SALT
Transcribed Image Text:A random sample of n,- 16 communities in western Kansas gave the following information for people under 25 years of age. x1: Rate of hay fever per 1000 population for people under 25 97 91 122 126 93 123 112 93 125 95 125 117 97 122 127 B8 A random sample of n,- 14 regions in western Kansas gave the following information for people over 50 years old. X3 Rate of hay fever per 1000 population for people over 50 96 108 99 95 111 88 110 79 115 100 89 114 85 96 A USE SALT
Expert Solution
Step 1

In order to determine whether the mean rate of hay fever per 1000 population for people over 50 years old is significantly less than that for people under 25 years old, conduct a two mean comparison hypotheses test.


The hypothesis test will contain two hypotheses: the null hypothesis and the alternate hypothesis. The alternate hypothesis is about the claim which is to be tested. If the population standard deviation for both the populations is known and both the sample sizes are 30 or greater than 30, then the sampling distribution can be assumed as a normal distribution.

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