The mean of the sampling distribution of the mean always equals 100. 

The mean of the sampling distribution of the mean always equals the population mean.

The mean of the sampling distribution of the mean usually equals the value of the highest sample mean.

The standard error of the mean roughly measures the average amount by which sample means deviate from the population mean.

The standard error of the mean increases in value when the sample size is increased.

The central limit theorem states that with sufficiently large sample sizes, the shape of the population is normal.

The central limit theorem states that with sufficiently large sample sizes, the shape of the sampling distribution of the mean approximates a normal curve. 

The following represents a valid relationship between a null hypothesis (H0) and corresponding alternative hypothesis (H1): H0: µ = 34; H1: µ ≠ 40 

The following represents a valid relationship between a null hypothesis (H0) and corresponding alternative hypothesis (H1): H0: µ = 115; H1: µ ≠ 115 

The following represents a valid relationship between a null hypothesis (H0) and corresponding alternative hypothesis (H1): H0: µ = 300; H1: x̄ ≠ 300 

Find the critical z-value(s) for a hypothesis test given: α = 0.10; two-tailed test

Find the critical z-value(s) for a hypothesis test given: α = 0.05; one-tailed test (lower-tailed critical region)

Find the critical z-value(s) for a hypothesis test given: α = 0.01; two-tailed test

Find the critical z-value(s) for a hypothesis test given: α = 0.05; two-tailed test

What is the z-statistic in a hypothesis test for a single population mean given the following data? (rounded to the nearest hundredth) x̄ = 5,900; µ = 5,890; σ = 75; n = 256

What is the z-statistic in a hypothesis test for a single population mean given the following data? (rounded to the nearest hundredth) x̄ = 36; µ = 34; σ = 10; n = 121

What is the z-statistic in a hypothesis test for a single population mean given the following data? (rounded to the nearest hundredth) x̄ = 34; µ = 36; σ = 8; n = 100

What is the p-value for a z-statistic of 1.34 for a one-tailed test?

What is the p-value for a z-statistic of -0.56 for a two-tailed test?

A new community safety education and outreach intervention is introduced in Biostats-ville, designed to lower the number of motor vehicle accidents occurring in that community. After 8 years of implementation, the average number of reported motor vehicle accidents per month (n=96) is recorded to be 85. Researchers know the general population average number of motor vehicle accidents per month from all communities of a similar size is 87 with a standard deviation of 8.5. Your research question of interest is: Does Biostats-ville (with the new community safety education and outreach intervention) have a different average number of reported motor vehicle accidents per month than the population average of communities of a similar size? You will use the information above for several of the following questions. Which of the following represents the appropriate null hypothesis (H0), given this research question of interest? 

Use the data above examining the research question of interest: "Does Biostats-ville (with the new community safety education and outreach intervention) have a different average number of reported motor vehicle accidents per month than the population average of communities of a similar size?" Which of the following represents the appropriate alternative hypothesis (H1), given this research question of interest)? 

Use the data above examining the research question of interest: "Does Biostats-ville (with the new community safety education and outreach intervention) have a different average number of reported motor vehicle accidents per month than the population average of communities of a similar size?" Which of the following represents the appropriate decision rule and critical value(s), testing at an alpha level (α) of 0.05. 

Use the data above examining the research question of interest: "Does Biostats-ville (with the new community safety education and outreach intervention) have a different average number of reported motor vehicle accidents per month than the population average of communities of a similar size?" What is the z-statistic associated with your test? (rounded to the nearest hundredth) 

Use the data above examining the research question of interest: "Does Biostats-ville (with the new community safety education and outreach intervention) have a different average number of reported motor vehicle accidents per month than the population average of communities of a similar size?" What is the p-value associated with your test statistic? (rounded to the nearest ten thousandth) *Hint: remember what type of test you are conducting (one-tailed vs. two-tailed). 

Use the data above examining the research question of interest: "Does Biostats-ville (with the new community safety education and outreach intervention) have a different average number of reported motor vehicle accidents per month than the population average of communities of a similar size?" Given your test results, what is your decision about the null hypothesis?

Use the data above examining the research question of interest: "Does Biostats-ville (with the new community safety education and outreach intervention) have a different average number of reported motor vehicle accidents per month than the population average of communities of a similar size?" Interpret your decision about the null hypothesis from the previous question.