istics to answer the above research question. (some values in the R output have been deleted deliberately) Carry out an appropriate hypothesis test to answer the research question given above.  Q1) What is the appropriate test to answer this question?  Refer to the image Q2)  What is the null and alternative hypotheses ? Choose one from below - H0: ππ = 0.5, H1:π≠π≠  0.5

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Research Question: Is the average height of basketball players in the club equal to 170cm?

 

A sample of 25 country club basketball players, height was measured. Use the following graph and Summary Statistics to answer the above research question. (some values in the R output have been deleted deliberately)

Carry out an appropriate hypothesis test to answer the research question given above.

 Q1) What is the appropriate test to answer this question?  Refer to the image

Q2) 

What is the null and alternative hypotheses ? Choose one from below

- H0: ππ = 0.5, H1:π≠π≠  0.5
 
- H0:μ=170μ=170, H1:μ≠170μ≠170
 
- H0: μ1−μ2=0μ1−μ2=0, H1:μ1−μ2≠0μ1−μ2≠0 
 
- H0: μ=0μ=0, H1:  μ≠0μ≠0
 
- H0:β=170β=170, H1: β≠170β≠170
 

Q3) What assumption you need to make? Choose one from below

- Since nπnπ,  n(1−π)n(1−π) and  are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution
 
- The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population
 
- The boxplots indicate that the samples are fairly symmetric and the spreads are similar, so we can assume both sets of data come from normal distributions with the same spread
 
- The points are randomly scattered around a straight line, so the assumptions of linearity and constant spread are satisfied.  The shape of the histogram indicates that the residuals come from a normal distribution
 
 - None of these

 

data: height
t = ????, df =
alternative hypothesis: true mean is not equal to 170
95 percent confidence interval:
170.5682 172.4830
??, p-value
= 0.003096
sample estimates:
mean of x
171.5256
> sd(height)
[1] 2.319408
Transcribed Image Text:data: height t = ????, df = alternative hypothesis: true mean is not equal to 170 95 percent confidence interval: 170.5682 172.4830 ??, p-value = 0.003096 sample estimates: mean of x 171.5256 > sd(height) [1] 2.319408
Histogram of height
4.
166
168
170
172
174
176
178
height
Kouanbaiy
Transcribed Image Text:Histogram of height 4. 166 168 170 172 174 176 178 height Kouanbaiy
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