Sign In * Lecture 4.2 - Sam X NKU Imath Asses X StatCrunch X y! you tube - Yahoo x . () Area Under X Course Hero X + X G https://imath.nku.edu/assessment/showtest.php?action=skip&to=4 Course Forums Calendar Gradebook Log Out Home > STA 205-021 F22, 2nd 7 weeks > Assessment gary steurer HW 4.2: Sampling Distribution of the Sample Mean Due Mon 11/14/2022 11:59 pm Show Intro/ Instructions Questions According to the Bureau of Labor Statistics, the mean salary for registered nurses in Kentucky was $55,440. The distribution of salaries is assumed to be normally distributed with a standard deviation of $5,570. Someone would like to determine if registered nurses in Ohio have a greater average pay. To investigate this claim, a sample of 191 registered nurses is selected from the Q 1 (0/10) Ohio Board of Nursing, and each is asked their annual salary. The mean salary for this sample of 191 nurses is found to be $55,656.342. X Q 2 [0/2] Q 3 [2/2] a. Completely describe the sampling distribution of the sample mean salary when samples of size 191 are selected. Q 4 (0/4) o mean: My = Q5 (0/8) DQ6 (0/8) . standard deviation: Og = (round your answer to 4 decimal places) Q7 (0/8) . shape: the distribution of y is Select an answer |because Select an answer Q 8 (0/3) b. What conjecture has been made? Grade: 2/45 The mean salary for registered nurses in Ohio is $55,656.342. Print Version O The mean salary for registered nurses in Ohio is greater than $55,440. + The mean salary for registered nurses in Ohio is $55,440. The mean salary for registered nurses in Ohio is greater than $55,656.342. c. Using the distribution described in part a, what is the probability of observing a sample mean of 55,656.342 or more? 0 Z = (round to 2 decimal places) o probability = (include 4 decimal places) d. Based on the probability found, what conclusion can be reached? . The probability would be classified as Select an answer v . So, there |Select an answer v | sufficient evidence to support the conjecture that the mean salary for registered nurses in Ohio is greater than $55,440. Points possible: 8 License This is attempt 1 of 3. Submit Co Type here to search O 35.F Cloudy ^ 0 3 - 9 7 (). 11:23 AM 11/13/2022