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The National Aeronautics and Space Administration (NASA) reports the mean age of astronauts as 36, with...

The National Aeronautics and Space Administration (NASA) reports the mean age of astronauts as 36, with a standard deviation of 3. A random sample of 17 astronauts produces a mean of 22. What is the test statistic?

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Answer #1

test statistic:- 19.2412

Explaination:-

Difference of sample mean from population mean (one sample t test)

P value and statistical significance:
  The two-tailed P value is less than 0.0001
  By conventional criteria, this difference is considered to be extremely statistically significant.

Confidence interval:
The hypothetical mean is 36.00
The actual mean is 22.00
The difference between these two values is -14.00
The   95% confidence interval of this difference:
From -15.54 to -12.46

Intermediate values used in calculations:

t= (mu-xbar) / (SD/Sqrt(n))

= (36-22) / (3/sqrt(17))

  t = 19.2412
  df = 16
  standard error of difference = 0.728

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