Use the following to answer the question: y^=-6.4X+13.9 with R^2=14%. Which best describes the correlation? Weak negative linear relationship No linear relationship Weak positive linear relationship Moderate positive linear relationship Moderate negative linear relationship

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Use the following to answer the question: y^=-6.4X+13.9 with R^2=14%. Which best describes the correlation?

  • Weak negative linear relationship
  • No linear relationship
  • Weak positive linear relationship
  • Moderate positive linear relationship
  • Moderate negative linear relationship

Select all that apply. We show that our sample statistics have (at minimum) a somewhat normal distribution because

  • this tells us that our sampling is appropriate.
  • this allows us to use T and Z tables for probabilities.
  • this allows us to use T and Z critical values.
  • normal distributions are cool and that's all we talk about in this class.

3. What is the standard deviation of the data set comprising the numbers 3, 7, 7, 6 and 7?

  • 1.73
  • 2.4
  • 1.55
  • 2.99
  • None of the above

4. The following table represents the number of free throws a typical NBA player makes in three attempts.

Free Throws Made 0 1 2 3
Probability 0 0.1 0.3  



What is the probability needed in order to make this a valid probability distribution?

  • 0.7
  • 0
  • 1
  • 0.5
  • None of the above



What is the mean of this distribution?

  • 1.5
  • 2.5
  • 0.25
  • 0.133
  • None of the above



What unit of measurement does the standard deviation have?

  • Square root of free throws
  • Free throws squared
  • Free throws
  • No unit of measurement
  • None of the above, as it depends on the situation

5. A gardener believes that the proportion of days that his garden gets rain is less than 22%. Select the hypothesis test decision that would define a Type I error.

  • Conclude that the true proportion of rain days is less than 22% when it is less than 22%.
  • Not conclude that the true proportion of rain days is less than 22% when it is less than 22%.
  • Conclude that the true proportion of rain days is less than 22% when it is at least 22%.
  • Not conclude that the true proportion of rain days is less than 22% when it is at least 22%.
  • None of the above

6. A seed has a 48% probability of growing into a healthy plant. 9 seeds are planted. Round answers to no fewer than two decimal places.

What is the probability that any 1 plant grows? 

What is the probability that the number of plants that grow is exactly 1? 

What is the expected number of plants that grow successfully? 

What is the standard deviation of this distribution? 

7. A statistical power of 95% implies that

  • it is very likely that H0 will be rejected if it is not true.
  • the chance that the alternative hypothesis is true is 95%.
  • the p-value for the study will be 5%.
  • H0 is probably false.

 8. A psychologist is concerned about the health of veterans returning from war. She examines 36 veterans and assesses whether they show signs of post-traumatic stress disorder. What is the population of interest?

  • All veterans with post-traumatic stress disorder
  • All veterans returning from war
  • The 36 veterans returning from war
  • The veterans returning from war showing signs of post-traumatic stress disorder

9. 

Summer high temperatures are distributed normally with a mean of 95.9 and a standard deviation of 3. NOTE: Round your Z-score to 2 decimal places before calculating a probability.

What is the summer high temperature that is the 18th percentile of this distribution?
  • 93.2
  • 95.4
  • 98.6
  • 96.4
  • None of the above
What is the probability that a randomly selected summer day has a high temperature of 97?
  • 0.0427
  • 0.9573
  • 0
  • 0.3557
  • 0.6443
What is the probability that a randomly selected summer day has a high temperature greater than 97?
  • 0
  • 0.0427
  • 0.9573
  • 0.6443
  • 0.3557
What is the probability that a randomly selected group of 22 summer days have an average high temperature greater than 97?
  • 0
  • 0.3557
  • 0.0427
  • 0.6443
  • 0.9573
 
Years of data tells us that 31% of houses have a 2 car garage. In a sample of size 43
what is the probability that more than 25% of houses have a 2 car garage?
O 0.181
O 0.802
O 0.819
0.198
None of the above
Beyond representative sampling, what assumptions are needed to satisfy the
requirements for this problem?
O X ~binomial and at least 5 successes and failures
X binomial, np ≥ 5 and nq ≥ 5
OX~normal and n ≥ 30
O X ~normal or n > 30
Transcribed Image Text:Years of data tells us that 31% of houses have a 2 car garage. In a sample of size 43 what is the probability that more than 25% of houses have a 2 car garage? O 0.181 O 0.802 O 0.819 0.198 None of the above Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem? O X ~binomial and at least 5 successes and failures X binomial, np ≥ 5 and nq ≥ 5 OX~normal and n ≥ 30 O X ~normal or n > 30
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