Question

question 5 (1 point) a hospital is trying to cut down on emergency room wait times. it is interested in the amount of time patients must wait before being called back to be examined. an investigation committee randomly surveyed 70 patients. the sample mean was 1.5 hours with a sample standard deviation of 0.5 hours. which distribution should you use for this problem? t distribution with degrees of freedom 69 binomial distribution t distribution with degrees of freedom 70 normal distribution

Explanation:

Step1: Identify sample size and knowns

Sample size $n = 70$, sample mean $\bar{x}=1.5$, sample standard - deviation $s = 0.5$. Population standard - deviation $\sigma$ is unknown.

Step2: Recall distribution selection rule

When the population standard - deviation $\sigma$ is unknown and we have a sample, we use the t - distribution. The degrees of freedom for a one - sample t - test is $df=n - 1$.

Step3: Calculate degrees of freedom

$df=70 - 1=69$.

Answer:

t distribution with degrees of freedom 69