Question 375516
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Hi,
*Note: Formula for the test statistic is {{{t = (x - mu)/(sigma/sqrt(n))}}}
In this case n = 10
Entering the Data into an Excel worksheet column and applying the Data Analysis tool
found {{{mu = 48.2}}} and {{{sigma = 7.36}}} for this sampling.
{{{t = (48.2 -52)/(7.36/sqrt(10))}}} = -3.8/2.328 = -1.632
P(t < -1.632) can be found using the NORMSDIST(-1.632)function in Excel
or by looking at an usual standard normal table.
P(t < -1.632) = .05134 or 5.1%
The test results show that this sampling is in the low range of normal hearing