The 97% confidence interval for the true population mean textbook weight is 62.846 < mean weight < 71.154.
A mean weight of 67 ounces
The population standard deviation is 13.4 ounces
Construct a 97% confidence interval for the true population mean textbook weight.
The 97% confidence interval is the sample mean plus or minus the z star times the standard error. The Z score that will capture the middle 97% of a normal curve is -2.17009 to + 2.17009
The standard error is [tex]\sigma/\sqrt{49}[/tex]
So, the confidence interval is
67 + (2.17)(13.4/√49)
= 67 + 4.154
= 71.154
and the lower limit
67 - (2.17)(13.4/√49)
= 67 - 4.154
62.846
Therefore the 97% confidence interval for the true population mean textbook weight is 62.846 < mean weight < 71.154.
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