Question
In: Statistics and Probability
A. How many samples do you need to create a 99% confidence interval for u with...
A. How many samples do you need to create a 99% confidence interval for u with a margin of error fo 10 and standard deviation of 28?
B. Five a 95% percent confidence interval for the true mean if the sample mean is 86.5, the sample size is 70, and the standard deviation is 12.2.
Solutions
Expert Solution
Solution
:
Given that,
=86.5
= 12.2
n = 70
At 95% confidence level the z is ,
= 1 - 95% = 1 - 0.95 = 0.05
/ 2 = 0.05 / 2 = 0.025
Z/2
= Z0.025 = 1.96
Margin of error = E = Z/2* ( /
= 1.96 * (12.2 /
= 2.8580
At 95% confidence interval estimate of the population mean is,
- E < 
< + E
86.5 - 2.8580 < < 86.5 +2.8580
83.6420< < 89.3580
(83.6420 , 89.3580 )
orchestra answered 2 years agoRelated Solutions
A. How many samples do you need to create a 99% confidence interval for u with...
A. How many samples do you need to create a 99% confidence
interval for u with a margin of error fo 10 and standard deviation
of 28?
B. Five a 95% percent confidence interval for the true mean if
the sample mean is 86.5, the sample size is 70, and the standard
deviation is 12.2.
How do you find a 99% Confidence Interval when given the average and the standard deviation?...
How do you find a 99% Confidence Interval when given the average
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120
70
50
110
110
110
130
90
90
120
110
120
110
110
110
100
110
110
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122
132
97
102
106
116
94
132
112
123
123
108
84
120
125
123
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103
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139
122
124
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120
109
117
108
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119
138
125
104
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101
130
124
115
104...
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120 121 99 106 109 127 114 105 102
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x̄ = 55 s = 15 n = 101
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The 95% Confidence Interval:
The 90% Confidence Interval:
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Differences:
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