Answer:
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
Step-by-step explanation:
Information given
represent the sample mean
population mean
s= 5.2 represent the sample standard deviation
n=59 represent the sample size
Confidence interval
The confidence interval for the true mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence interval is 0.90 or 90%, the significance is and
, and the critical value is
Now we have everything in order to replace into formula (1):
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence