Suppose a researcher believes that the average height of female students in a large local high school is 140 cm. The researcher wants to construct an interval that contains the true average height of all female students in the local high school with a certain prespecified probability. The researcher selects 36 female students at random from the high school. The distribution of heights is known to follow a normal distribution. The given table shows the data she collected (in cm). 146 147 141 140 139 140 140 141 144 137 139 143 142 128 139 142 145 135 139 138 150 141 138 145 134 147 134 143 146 146 139 135 140 145 140 145 The average height of the female students in the given sample is 140.92 cm. The sample standard deviation is 4.50 cm. (Round your answers to two decimal places.) The standard error of the sample mean height is 0.75 cm. The margin of error in calculating a 95% confidence interval for the average height of all female students in the local high school is 1.52 cm. (Round your answers to two decimal places.)

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The standard error of the sample mean height is
 
The margin of error in calculating a​ 95% confidence interval for the average height of all female students in the local high school is

please help me with these 2 questions, the answers I wrote is wrong
Suppose a researcher believes that the average height of female students in a large local high school is 140 cm. The researcher wants to
construct an interval that contains the true average height of all female students in the local high school with a certain prespecified probability.
The researcher selects 36 female students at random from the high school. The distribution of heights is known to follow a normal distribution.
The given table shows the data she collected (in cm).
146
147
141
140
139
140
140
141
144
137
139
143
142
128
139
142
145
135
139
138
150
141
138
145
134
147
134
143
146
146
139
135
140
145
140
145
The average height of the female students in the given sample is 140.92 cm.
The sample standard deviation is 4.50 cm.
(Round your answers to two decimal places.)
The standard error of the sample mean height is 0.75 cm.
The margin of error in calculating a 95% confidence interval for the average height of all female students in the local high school is 1.52 cm.
(Round your answers to two decimal places.)
Transcribed Image Text:Suppose a researcher believes that the average height of female students in a large local high school is 140 cm. The researcher wants to construct an interval that contains the true average height of all female students in the local high school with a certain prespecified probability. The researcher selects 36 female students at random from the high school. The distribution of heights is known to follow a normal distribution. The given table shows the data she collected (in cm). 146 147 141 140 139 140 140 141 144 137 139 143 142 128 139 142 145 135 139 138 150 141 138 145 134 147 134 143 146 146 139 135 140 145 140 145 The average height of the female students in the given sample is 140.92 cm. The sample standard deviation is 4.50 cm. (Round your answers to two decimal places.) The standard error of the sample mean height is 0.75 cm. The margin of error in calculating a 95% confidence interval for the average height of all female students in the local high school is 1.52 cm. (Round your answers to two decimal places.)
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