Confidence Intervals for Normal and T-Distributions

What is the point estimate associated with the interval (16.5, 27.6

• 21.05

• 21.95

• 22.05

• 22.95

What is the degrees of freedom equal to?

• n
• n+1
• 1-n
• n-1

A local bank needs information concerning the savings account balances of its customers. A random sample of 13 accounts was checked. The mean balance was $686.75 with a sample standard deviation of $256.20. Find a 95% confidence interval for the true mean.

• ($513.14, $860.36)
• ($525.59, $847.91) 
• ($533.27, $840.23)
• ($531.92, $841.58)

Which of the following does NOT have an affect on the width of a confidence interval?

• Sample mean
• t*
• Sample standard deviation
• Sample size

The 90% interval for a statistics test was given by 72 +- 7. What is the lower bound for the interval?

• 7
• 72
• 65
• 79

Which of the following changes to a study would result in a narrower confidence interval?

• increasing the confidence level, increasing the sample size
• decreasing the confidence level, decreasing the sample size
• increasing the confidence level, decreasing the sample size
• decreasing the confidence level, increasing the sample size.

A 90% confidence interval for the mean speed driven by cars on East Main St. is given by (21, 45). What was the sample mean of this study?

• 12
• 24
• 33
• None of these.

What is a 90% confidence interval where the sample mean is 21, standard deviation 5, with n = 50 people

• (16, 26)

• (19.8, 22.1)

• (19.6, 22.4)

• None of these.

A sample of 20 cupcakes found the interval for calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?

• We are 95% confident that the true mean calorie content can be found with a sample of 150 to 350 cupcakes.
• We are 95% confident that the true mean calorie content in cupcakes is between 150 and 350 calories.
• We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.
• None of these are correct.

Find the t* value for a 99% confidence interval with a sample of 23 people. Pick answer (d) for this question

• 1.714

• 1.711

• 2.064

• None of these.