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=5 hours

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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=5 hours.

please answer 

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
30 medical practitioners revealed an average of = 21.05 hours.
Let: 4
= mean weekly access time of the medical practitioners.
Research Question 1: Is the mean weekly access time less than 22 hours?
Given: The value of the test statistic is
z = -1.04
Complete the following:
Identify the correct null hypothesis:
O Ho: < 21.05
O Ho µ + 22
O Ho: µ < 21.05
O Ho: u = 22
Ho 21.05
O Ho : µ # 21.05
O Ho 22
O Ho > 22
O Ho: > 22
O Ho: = 21.05
O Ho: µ = 21.05
O Ho u < 22
0.
O Ho: = 22
O Ho: > 21.05
O Ho: µ > 21.05
O Ho: < 22
Transcribed Image Text: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 30 medical practitioners revealed an average of = 21.05 hours. Let: 4 = mean weekly access time of the medical practitioners. Research Question 1: Is the mean weekly access time less than 22 hours? Given: The value of the test statistic is z = -1.04 Complete the following: Identify the correct null hypothesis: O Ho: < 21.05 O Ho µ + 22 O Ho: µ < 21.05 O Ho: u = 22 Ho 21.05 O Ho : µ # 21.05 O Ho 22 O Ho > 22 O Ho: > 22 O Ho: = 21.05 O Ho: µ = 21.05 O Ho u < 22 0. O Ho: = 22 O Ho: > 21.05 O Ho: µ > 21.05 O Ho: < 22
Research Question 2: Does the mean weekly access time differ from 21 hours?
Given: The 90% confidence interval for µ is:
(19.5 , 22.6)
Complete the following;
• According to the observed confidence interval, the null hypothesis is
and there is sufficient evidence to claim that
the average access time
v from 21 hours, at 0.1 level of significance.
According to the observed confidence interval, we know that:
True False
90% of all samples should have sample means between 19.5 and 22.6.
We are 90% confident that µ is between 19.5 and 22.6.
For every 100 random samples drawn, we expect that 90 of the confidence intervals will
contain the population mean.
The probability that µ is between 19.5 and 22.6 is 0.9.
90% of all medical practitioners at Health Care Il have access times between 19.5 and 22.6
hours.
For every 100 random samples drawn, we expect that 90 of the confidence intervals will
contain the sample mean.
$31 PM
Transcribed Image Text:Research Question 2: Does the mean weekly access time differ from 21 hours? Given: The 90% confidence interval for µ is: (19.5 , 22.6) Complete the following; • According to the observed confidence interval, the null hypothesis is and there is sufficient evidence to claim that the average access time v from 21 hours, at 0.1 level of significance. According to the observed confidence interval, we know that: True False 90% of all samples should have sample means between 19.5 and 22.6. We are 90% confident that µ is between 19.5 and 22.6. For every 100 random samples drawn, we expect that 90 of the confidence intervals will contain the population mean. The probability that µ is between 19.5 and 22.6 is 0.9. 90% of all medical practitioners at Health Care Il have access times between 19.5 and 22.6 hours. For every 100 random samples drawn, we expect that 90 of the confidence intervals will contain the sample mean. $31 PM
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