Question 1
Answer the following True or False:
Suppose a sample size of 87 was used to conduct a right tailed hypothesis test for a single population mean. The null hypothesis was $\mathrm{H}_{0}: \mu=45$ and the sample mean was 50 and the $p$-value was 0.03 . Then there is a $3 \%$ chance that 87 randomly selected individuals from a population with a mean of 45 and the same standard deviation would have a sample mean greater than 50 .
true
false
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Answer
The statement is \(\boxed{true}\).
Step 1 ：Suppose a sample size of 87 was used to conduct a right tailed hypothesis test for a single population mean. The null hypothesis was \(\mathrm{H}_{0}: \mu=45\) and the sample mean was 50 and the \(p\)-value was 0.03 . Then there is a \(3 \%\) chance that 87 randomly selected individuals from a population with a mean of 45 and the same standard deviation would have a sample mean greater than 50 .
Step 2 ：The statement is \(\boxed{true}\).
