One Sample Z Test

What is the purpose of a one-sample z-test?

• To compare two population means

• To compare a sample mean to a population mean

• To compare two sample means

• To compare multiple population means

What does the z-value represent in a one-sample z-test?

• How many standard deviations the sample mean is from the population mean

• The difference between the sample and population means

• The ratio of the standard error to the sample mean

• The level of statistical significance

What significance level is commonly used for a one-sample z-test?

• 0.01

• 0.05

• 0.10

• 0.50

What is the null hypothesis for a one-sample z-test?

• μ ≠ μ0

• μ > μ0

• μ = μ0

• μ < μ0

In a one-sample z-test, what is being compared to the sample mean?

• Another sample mean

• The population mean

• Nothing, it's just a descriptive statistic

• The population standard deviation

What must be known in order to calculate the z-value in a one-sample z-test?

• The sample size

• The sample standard deviation

• The population standard deviation

• Both A and C

If the calculated z-value is negative, that means the sample mean is ______ the population mean.

• Less than

• Greater than

• Approximately equal to

• None of the above

What conclusion would be made if the z-value is larger than the critical value?

• Reject the null hypothesis

• Fail to reject the null hypothesis

• Increase the sample size

• Decrease the significance level

5. Winnie the Pooh loves honey. He claims a jar contains an average of 1 pound of honey. Piglet did a z-test by sampling 10 jars which yielded a mean of 0.5 lbs with a standard deviation of 0.1 lbs. What z-value would make Pooh say "Oh, bother!"? Complete this question using R.

What is represented by x̄ in the z-test equation?

• Population mean

• Sample mean

• Test statistic

• Degrees of freedom