STATISTICS

Description

Quiz on STATISTICS, created by raquel galindo on 21/06/2016.
raquel galindo
Quiz by raquel galindo, updated more than 1 year ago
raquel galindo
Created by raquel galindo almost 8 years ago
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Resource summary

Question 1

Question
S_x ̅ =s⁄√n is an estimate of:
Answer
  • the standard deviation of the sampling distribution of the mean
  • the standard error of the mean
  • o_x ̅ =o⁄√n
  • all of the above

Question 2

Question
The 68-95-99.7 rule indicates that for a normal distribution N(,o):
Answer
  • 68% of the observations fall within 1 o of the mean 
  • 95% of the observations fall within 1 o of the mean 
  • 99.7% of the observations fall within 1 o of the mean 
  • none of the above

Question 3

Question
The Law of the large numbers implies that
Answer
  • As the simple size increases  will change being closer to x ̅
  • As the simple size increases the difference between the parameter and the statistic will increase
  • As the simple size increases the simple proportion p ̂ will be closer to the population proportion p
  • All of the above

Question 4

Question
When estimating the populational mean, as we increase the simple size
Answer
  • The simple distribution becomes more concentrated (less disperse)
  • The standard error decreases
  • The accuracy of the inference increases
  • All of the above

Question 5

Question
Suppose we toss a fair coin 100 times. Knowing the true population of heads is 0,5 find out the 2 decimal approximation of the probability that the sample proportion of heads is between 0.4 and 0.6:
Answer
  • 0.05
  • 0.95
  • 0.5
  • none of the above

Question 6

Question
for a fixed simple size and standard error a confidence interval with a 99% confidence level is:
Answer
  • wider than a 95% confidence level interval
  • narrower than a 95% confidence level interval
  • of the same width than a 95% confidence level interval
  • wider or narrower depending on the standardized statistic (in relation to the parameter that is estimated)

Question 7

Question
the F statistic in an ANOVA used to test an average differences always increases when:
Answer
  • the within group variability increases
  • the between group variability increases
  • the total variability increases
  • all of the above

Question 8

Question
We are willing to conduct a paired-samples two tailed test on the difference between the populational means of x and y. The simple mean of x is 9 and the sample mean of y is 10; the simple size is 40. The variance of the difference in sample values is s_d^2=16. What is the conclusion of our test?
Answer
  • We reject the null hypothesis, the populational means are significantly different
  • We fail to reject the null hypothesis, the populational means are not significantly different
  • We accept the null hypothesis, the populational means are the same
  • We reject the null hypothesis, the populational means are not significantly different

Question 9

Question
When the correlation coefficient between two variables x and y is larger
Answer
  • The estimate for the slope of the regression line has a larger value (even when the slope is negative)
  • The determination coefficient is also larger (even when the correlation is negative)
  • The determination coefficient is smaller (even when the correlation is positive)
  • None of the above

Question 10

Question
If we find the following confidence interval for the slope of a regression β∁ (-0.5,1.5) at a 95% confidence level:
Answer
  • The simple slope β ̂ is 0.5
  • There is no significant linear association between x and y at a 5% significance level
  • The simple correlation coefficient r is positive
  • All of the above

Question 11

Question
When the determination coefficient equal 1:
Answer
  • There’s a perfect linear association between x and y
  • When y increases x increases
  • When y increases x decreases
  • None of the above

Question 12

Question
Knowing that for a linear regression model Σ(
Answer
  • 2
  • 10
  • 8
  • 18
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