Medical practitioners are increasingly utilising the Zoom platform. Not only for online meetings but also for consultations with patients. The weekly Zoom access time (in hours) at two hospitals: Health Care I Health Care II needs to be investigated. Given: The weekly access time of medical practitioners at both hospitals is normally distributed with a standard deviation of σ=6 hours. a) Consider the weekly access time at Health Care I Given: X= the weekly access time of a medical practitioner. The mean weekly access time is μ=20 hours. Complete the following: (Round your answers to 4 decimal places.) The probability that the weekly access time of a randomly selected medical practitioner is between 13 and 27 hours is: _______ Only 10% of the medical practitioners had a weekly access time of ______ hours or more. Given: X¯= the average weekly access time of a random sample of n=20 medical practitioners. The standard error of X¯ is σX¯=1.3416 Complete the following: (Round your answers to 4 decimal places.) Ninety-five percent of the average weekly access times are within ________ hours of the mean μ=20 The probability that X¯ is at least 21.7 hours is: _______ b) Consider the weekly access time at Health Care II
Medical practitioners are increasingly utilising the Zoom platform. Not only for online meetings but also for consultations with patients. The weekly Zoom access time (in hours) at two hospitals:
- Health Care I
- Health Care II
needs to be investigated.
Given: The weekly access time of medical practitioners at both hospitals is
a) Consider the weekly access time at Health Care I
Given:
- X= the weekly access time of a medical practitioner.
- The mean weekly access time is μ=20 hours.
Complete the following: (Round your answers to 4 decimal places.)
- The probability that the weekly access time of a randomly selected medical practitioner is between 13 and 27 hours is: _______
- Only 10% of the medical practitioners had a weekly access time of ______ hours or more.
Given:
- X¯= the average weekly access time of a random sample of n=20 medical practitioners.
- The standard error of X¯ is σX¯=1.3416
Complete the following: (Round your answers to 4 decimal places.)
- Ninety-five percent of the average weekly access times are within ________ hours of the mean μ=20
- The probability that X¯ is at least 21.7 hours is: _______
b) Consider the weekly access time at Health Care II
The Superintendent wants to investigate the average weekly access time (in hours) at Health Care II based on 2 different research questions. A random sample of the weekly access times of n=20 medical practitioners revealed an average of x¯=25.09 hours.
Let: μ= mean weekly access time of the medical practitioners.
Research Question 1: Is the mean weekly access time less than 28 hours?
Given: The value of the test statistic is
Complete the following:
- Identify the correct null hypothesis:
- H0:μ>25.09
- H0:x¯=25.09
- H0:x¯≠25.09
- H0:μ=28
- H0:x¯>28
- H0:x¯=28
- H0:μ<28
- H0:x¯<28
- H0:μ≠28
- H0:x¯>25.09
- H0:μ<25.09
- H0:μ≠25.09
- H0:x¯<25.09
- H0:μ>28
- H0:μ=25.09
- H0:x¯≠28
- The p-value is: _________ Round your answer to 4 decimal places.
Research Question 2: Does the mean weekly access time differ from 24 hours?
Given: The 99% confidence interval for μ is:
Complete the following:
- According to the observed confidence interval, the null hypothesis is _______ (rejected/not rejected) and there is sufficient evidence to claim that the average access time ______ (differs/does not differ) from 24 hours, at 0.01 level of significance.
- According to the observed confidence interval, we know that:
True False For every 100 random samples drawn, we expect that 99 of the confidence intervals will contain the population mean. 99% of all samples should have sample means between 21.6 and 28.5 We are 99% confident that μ is between 21.6 and 28.5 For every 100 random samples drawn, we expect that 99 of the confidence intervals will contain the sample mean. The probability that μ is between 21.6 and 28.5 is 0.99 99% of all medical practitioners at Health Care II have access times between 21.6 and 28.5 hours.
As per guidelines we will only answer the first three subparts, please repost other subparts for more answers.
a)
Given information:
The weekly access time of medical practitioners at both hospitals is normally distributed with a standard deviation of σ = 6 hours.
X = the weekly access time of a medical practitioner.
The mean weekly access time is μ = 20 hours.
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