Inference for Means AP Stat

Front

What is the t value associated with 90% confidence and a sample size of 15?

Back

1.761

Front

Which z-value is used for a 95% confidence interval?

Back

1.96

Front

Construct a 95% confidence interval for the population mean, mu, given a sample mean of 81.5 and a sample standard deviation of 10.2 with a sample size of 25.

Back

(77.3, 85.7)

Front

Which of the following 95% confidence intervals would lead us to reject H0: p = 0.30 in favor of Ha: p ≠ 0.30 at the 5% significance level? (0.19, 0.27), (0.27, 0.31), (0.24, 0.30), (0.29, 0.38)

Back

(0.19, 0.27)

Front

Which of the following does NOT have an effect on the width of a confidence interval? Sample mean, t*, Sample standard deviation, Sample size

Back

Sample mean

Front

Define confidence interval.

Back

A range of values used to estimate the true population parameter, with a specified level of confidence.

Front

What is the significance level in hypothesis testing?

Back

The probability of rejecting the null hypothesis when it is true, commonly denoted as alpha (α).

Front

Explain the difference between Type I and Type II errors.

Back

Type I error occurs when the null hypothesis is rejected when it is true; Type II error occurs when the null hypothesis is not rejected when it is false.

Front

What does a 95% confidence level mean?

Back

It means that if we were to take 100 different samples and compute a confidence interval for each sample, approximately 95 of the intervals would contain the true population mean.

Front

What is the formula for calculating a confidence interval for the mean?

Back

CI = sample mean ± (critical value * (sample standard deviation / √sample size))