Saturday, 11 August 2018

Statistical Analysis Lesson 7


Statistical Analysis Lesson 7
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Online Exam 8_07

Question 1 of 40
2.5 Points
A consumer group claims that the mean running time for a certain type of flashlight battery is not the same as the manufacturer’s claims. Determine the null and alternative hypotheses for the test described.

  A.
H0: µ = Manufacturer’s claims     Ha: µ < Manufacturer’s claims

  B.
H0: µ = Manufacturer’s claims    Ha: µ ¹ Manufacturer’s claims

  C.
H0: µ = Manufacturer’s claims     Ha: µ > Manufacturer’s claims

  D.
H0: µ ¹ Manufacturer’s claims     Ha: µ = Manufacturer’s claims

Question 2 of 40
If a fan purchased a bag with 30 peanuts, what is the lowest level at which this would be a significant event?



  A. 0.05               
  B. 0.025             
  C. 0.01                
  D. It is not significant at any of the levels given

Question 3 of 40
2.5 Points
 A researcher wants to check the claim that convicted burglars spend an average of 18.7 months in jail. She takes a random sample of 35 such cases from court files and finds that  months. Assume that the population standard deviation is 7 months. Test the null hypothesis that µ = 18.7 at the 0.05 significance level.

  A.
Do not reject the null hypothesis and conclude that the claim that the mean is different from 18.7 months is supported.

  B.
Do not reject the null hypothesis and conclude that the claim that the mean is different from 18.7 months cannot be supported.

  C.
Reject the null hypothesis and conclude that the claim that the mean is different from 18.7 months is supported.

  D.
Reject the null hypothesis and conclude that the claim that the mean is different from 18.7 months cannot be supported.

Question 4 of 40
2.5 Points
A two-tailed test is conducted at the 5% significance level. What is the left tail percentile required to reject the null hypothesis?
  A. 97.5%            
  B. 5%  
  C. 2.5%              
  D. 95%

Question 5 of 40
2.5 Points
A manufacturer claims that the mean amount of juice in its 16 ounce bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of 70 bottles was 15.94 ounces. Do the data provide sufficient evidence to conclude that the mean amount of juice for all 16-ounce bottles, µ, is less than 16.1 ounces? Perform the appropriate hypothesis test using a significance level of 0.10. Assume that s = 0.9 ounces.

  A.
The z of - 1.49 provides sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.

  B.
The z of - 1.49 does not provide sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.

  C.
The z of - 0.1778 does not provide sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.

  D.
The z of - 0.1778 provides sufficient evidence to conclude that the mean amount of juice is less than 16.1 oz.

Question 6 of 40
2.5 Points
A poll of 1,068 adult Americans reveals that 52% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 significance level, test the claim that more than half of all voters prefer the Democrat.
  A. Reject the null hypothesis. Conclude that there is insufficient evidence that more than half of all voters prefer Democrats.        
  B. Do not reject the null hypothesis. Conclude that there is sufficient evidence that more than half of all voters prefer Democrats.        
  C. Reject the null hypothesis. Conclude that there is sufficient evidence that more than half of all voters prefer Democrats.        
  D. Do not reject the null hypothesis. Conclude that there is insufficient evidence that more than half of all voters prefer Democrats.

Question 7 of 40
2.5 Points
A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha. Find the P-value for a test of the claim that the proportion with lawn mowers in Omaha is higher than 65%. Among 497 randomly selected homes in Omaha, 340 had one or more lawn mowers. Use Table 5.1 to find the best answer.
  A. 0.0559           
  B. 0.1118           
  C. 0.0252           
  D. 0.0505

Question 8 of 40
2.5 Points
A consumer advocacy group claims that the mean amount of juice in a 16 ounce bottled drink is not 16 ounces, as stated by the bottler. Determine the conclusion of the hypothesis test assuming that the results of the sampling lead to rejection of the null hypothesis.
  A. Conclusion: Support the claim that the mean is equal to 16 ounces.
  B. Conclusion: Support the claim that the mean is greater than 16 ounces.         
  C. Conclusion: Support the claim that the mean is not equal to 16 ounces.          
  D. Conclusion: Support the claim that the mean is less than 16 ounces.

Question 9 of 40
2.5 Points
A right-tailed test is conducted at the 5% significance level. Which of the following z-scores is the smallest one in absolute value that leads to rejection of the null hypothesis?
  A. 1.61               
  B. 1.85                
  C. -1.98              
  D. -2.06

Question 10 of 40
2.5 Points
z = 1.8 for Ha:  µ >  claimed value. What is the P-value for the test?  

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