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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Make a 99% confidence interval for u if: mean= 38.54 s=3.75 n=36
Make a 99% confidence interval for u if:
mean= 38.54
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n=36
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Create a 99% confidence interval for the proportion of cereals
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Calories
70
120
70
50
110
110
110
130
90
90
120
110
120
110
110
110
100
110
110
110
100
110
100
100
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110
100
120
120
120
110
110
140
110
160
140
130
120
50
50
Find the 80%, 95%, and 99% confidence intervals & margin error Create your own confidence interval...
Find the 80%, 95%, and 99% confidence intervals & margin
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Create your own confidence interval (you cannot use 80%, 95%,
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122
132
97
102
106
116
94
132
112
123
123
108
84
120
125
123
115
103
127
139
122
124
112
113
109
104
120
109
117
108
125
109
119
138
125
104
110
101
130
124
115
104...
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Create your own confidence interval (you cannot use 80%, 95%,
and 99%) and make sure to show your work.
using this sample data.
120, 124, 113, 97, 127, 96, 100, 121, 115, 109, 114, 109, 116,
110, 132, 104, 111, 104, 101, 107, 98, 135, 105, 109, 121, 107,
118, 109, 145, 98, 136, 117, 103, 118 126 129 121 105 100 120 107
120 121 99 106 109 127 114 105 102
What sample size would you need to make the 99% confidence interval have the same margin...
What sample size would you need to make the 99% confidence
interval have the same margin of error as the 90% confidence
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Calculate the 99%, 95%, and 90% confidence interval for the following information. Identify how these confidence...
Calculate the 99%, 95%, and 90% confidence interval for the
following information. Identify how these confidence intervals are
similar and how they are different. Explain why. (70
points)
x̄ = 55 s = 15 n = 101
The 99% Confidence Interval:
The 95% Confidence Interval:
The 90% Confidence Interval:
Similarities:
Differences:
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