The branch manager of a clothing store is analyzing the average total bill of sale for his location. The national manager has communicated that the overall population mean is $45.90 with a standard deviation of $10.34. The branch manager has a sample of 400 total bills of sale for his location.
By the central limit theorem, which interval can the branch manager be 95% certain that the sample mean will fall within?
OA.
$45.85 and $45.95
OB.
$44.35 and $47.45
O c.
$44.87 and $46.93
OD
$45.38 and $46.42