18 Questions
What is necessary to calculate standard error of the mean?
Population standard deviation
Which of the following is used to estimate the standard error of the mean?
T-critical value
What role does the sample size play in calculating sampling error?
Affecting the precision of the estimate
In hypothesis testing, what is a common outcome when the null hypothesis is rejected?
There is likely a treatment effect
What does finding t-critical value involve in hypothesis testing?
Setting a criterion
How does the estimation of effect size relate to hypothesis testing?
Measuring how big a difference exists
What is the standard deviation of the sample data?
9.84
What is the formula to calculate the sample sum of squares?
s² = Σ(X²) - (ΣX)² / n
What does 'df' represent in the context of the sample data?
Degrees of freedom
Which of the following is used to calculate the standard error of the mean?
$\frac{s}{\sqrt{n}}$
In hypothesis testing, what does 'p M' refer to?
Population mean value
What is the purpose of calculating the sample variance in statistical analysis?
To measure the spread or variability in a sample
What does the calculated $Z$ value of 4.56 indicate?
The boys' sample mean is more than 1.96 standard deviations above the girls' mean.
In hypothesis testing, what does it mean to reject the null hypothesis?
Concluding that there is enough evidence to support the alternative hypothesis.
What does Cohen's d value of 1.44 suggest about the heights of boys compared to girls at age 16?
Boys are taller than girls by 1.44 times the standard deviation.
When the population standard deviation is unknown, what must be used as an estimate in statistical calculations?
The sample standard deviation
What information is lost when transitioning from knowing both population mean and standard deviation to knowing only the population mean?
The population variability
What does a $Z_{crit}$ value of -1.96 represent in hypothesis testing?
$\alpha = 0.025$ level of significance
This quiz examines the heights of boys and girls at age 16, with the boys' sample statistic provided. By calculating the Z-score and making a decision based on the rejection regions, determine if the height of boys differs significantly from that of girls at age 16.
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