QNT/351 Week 3

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A sample of 30 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level.

  
H0 : μ ≤ 20
H1 : μ > 20

 

a.Is this a one- or two-tailed test?
  
 
 H0, when z >  evidence to conclude that the population mean is greater than 20.

 

e.What is the p-value? (Round your answer to 4 decimal places.)

 

  p-value

 H0. The mean number of calls is  than 36 per week.

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A United Nations report shows the mean family income for Mexican migrants to the United States is $27,300 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 20 Mexican family units reveals a mean to be $28,500 with a sample standard deviation of $9,651. Does this information disagree with the United Nations report? Apply the 0.01 significance level.

 

a.State the null hypothesis and the alternate hypothesis.

 

  
  H0: μ =. This data  the report.

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The following information is available.

 

H0 : μ ≥ 220

 

H1 : μ < 220

 

A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.

 

a.Is this a one- or two-tailed test?
  
 
 H0 when z <   H0. There is  evidence to conclude that the population mean is greater than 10.  

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Given the following hypotheses:

 

H0 : μ = 400

 

H1 : μ ≠ 400

 

A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:

 

a.

State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

 

  Reject H0 when the test statistic is  the interval ([removed],  [removed]).

 

b.Compute the value of the test statistic. (Round your answer to 3 decimal places.)

 

  Value of the test statistic[removed]  

 

c.What is your decision regarding the null hypothesis?
  
 
[removed]Reject
[removed]Do not reject
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