Answer :
Answer:
C. She has obtained the same sample mean as the first researcher, but her P-value will be greater than that of the first researcher.
Step-by-step explanation:
- the hypotheses are H0: = 50, Ha: > 50
- With 100 samples, mean=55.2 and the P-value is less than 0.0001
- with 10 samples , mean=55.2 and P-value=?
test statistic can be found using the equation
[tex]\frac{X-M}{\frac{s}{\sqrt{N} } }[/tex] where
- X = 55.2
- M =50
- s is the standard deviation
- N is the sample size
Thus, as the sample size gets smaller, test statistics gets smaller.
Therefore, P-value is greater.