Textbook ExpertVerified Tutor
23 Nov 2021
Given information
Instructions: For the following ten exercises,
Hypothesis testing: For the following ten exercises, answer each question.
State the null and alternate hypotheses.
State the p-value.
. State alpha.
. What is your decision?
Write a conclusion.
Answer any other questions asked in the problem.The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 
inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 
inches with a standard deviation of 1.3 inches.
inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be inches with a standard deviation of 1.3 inches.Step-by-step explanation
Step 1.
The null hypothesis states that mean rainfall is greater than or equal to the reported average inches.
In symbols:
The alternative hypothesis states that mean rainfall is less than the reported average inches.
In symbols:
The degree of freedom is calculated as follows:
Now, the test static is calculated as follows:
By using excel function 
, the p-value is:
Since 
and 
also, reject the null hypothesis at 
and 
both. We can conclude that mean rainfall is less than the reported average inches.
Hence, the null hypothesis is rejected, we can conclude that mean rainfall is less than the reported average inches.
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
Solutions
Chapter
Section
- Problem 62a
- Problem 62b
- Problem 62c
- Problem 62d
- Problem 62e
- Problem 62f
- Problem 62g
- Problem 62h
- Problem 62i
- Problem 62j
- Problem 63
- Problem 64
- Problem 65
- Problem 66a
- Problem 66b
- Problem 66c
- Problem 66d
- Problem 66e
- Problem 66f
- Problem 66g
- Problem 66h
- Problem 66i
- Problem 66j
- Problem 67a
- Problem 67b
- Problem 68
- Problem 69
- Problem 70
- Problem 71
- Problem 72
- Problem 73a
- Problem 73b
- Problem 73c
- Problem 73d
- Problem 73e
- Problem 73fi
- Problem 73fii
- Problem 73fiii
- Problem 73g
- Problem 73h
- Problem 73i
- Problem 73ji
- Problem 73jii
- Problem 73jiii
- Problem 74
- Problem 75
- Problem 76
- Problem 77
- Problem 78
- Problem 79
- Problem 80
- Problem 81
- Problem 82
- Problem 83
- Problem 84
- Problem 85
- Problem 86
- Problem 87
- Problem 88
- Problem 89
- Problem 90
- Problem 91
- Problem 92
- Problem 93
- Problem 94
- Problem 95
- Problem 96
- Problem 97
- Problem 98
- Problem 99
- Problem 100
- Problem 101
- Problem 102
- Problem 103
- Problem 104a
- Problem 104b
- Problem 104c
- Problem 104d
- Problem 105a
- Problem 105b
- Problem 105c
- Problem 105d
- Problem 106a
- Problem 107
- Problem 108
- Problem 109
- Problem 110
- Problem 111
- Problem 112
- Problem 113
- Problem 114
- Problem 115
- Problem 116