Answer:
1.16 to 2.75
Step-by-step explanation:
The mean salary (millions of dollars) for shortstops was 1.95.
[tex]\bar{x}=1.85[/tex]
The population mean for all baseball players was 1.85
[tex]\mu = 1.85[/tex]
The population standard deviation was 1.61.
[tex]\sigma = 1.61[/tex]
Formula of confidence interval :[tex]x-z\times \frac{\sigma}{\sqrt{n}}[/tex] to [tex]x+z\times \frac{\sigma}{\sqrt{n}}[/tex]
z at 95% confidence level = 1.96
Substitute the values in the formula
Confidence interval :[tex]1.95-1.96\cdot\frac{1.61}{\sqrt{16}}[/tex] to [tex]1.95+1.96\cdot\frac{1.61}{\sqrt{16}}[/tex]
Confidence interval : 1.16 to 2.75
Hence the 95 percent confidence interval for these data is 1.16 to 2.75
