Consider the following hypotheses: H 0 : μ = 450 H A : μ ≠ 450 The population is normally distributed with a population standard deviation of 48. (You may find it useful to reference the appropriate...

Consider the following hypotheses:


H
₀:μ = 450

H_A
:μ ≠ 450

The population is normally distributed with a population standard deviation of 48.(You may find it useful to reference the appropriate table:
z tableor t table)



a-1. Calculate the value of the test statistic with x−x− = 476 andn = 75.(Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

a-2. What is the conclusion at the 5% significance level?

multiple choice 1

• 
  
  
  

  Do not rejectH
  ₀ since thep-value is greater than the significance level.

  
  
  
  


• 
  
  
  

  Do not rejectH
  ₀ since thep-value is less than the significance level.

  
  
  
  


• 
  
  
  

  RejectH
  ₀ since thep-value is greater than the significance level.

  
  
  
  


• 
  
  
  

  RejectH
  ₀ since thep-value is less than the significance level.

  
  
  
  

a-3.Interpret the results at αα = 0.05.


multiple choice 2

• 
  
  
  

  We cannot conclude that the population mean differs from 450.

  
  
  
  


• 
  
  
  

  We conclude that the population mean differs from 450.

  
  
  
  


• 
  
  
  

  We cannot conclude that the sample mean differs from 450.

  
  
  
  


• 
  
  
  

  We conclude that the sample mean differs from 450.

  
  
  
  

b-1. Calculate the value of the test statistic with x−x− = 437 andn = 75.(Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)







b-2. What is the conclusion at the 1% significance level?

multiple choice 3

• 
  
  
  

  Do not rejectH
  ₀ since thep-value is less than the significance level.

  
  
  
  


• 
  
  
  

  Do not rejectH
  ₀ since thep-value is greater than the significance level.

  
  
  
  


• 
  
  
  

  RejectH
  ₀ since thep-value is less than the significance level.

  
  
  
  


• 
  
  
  

  RejectH
  ₀ since thep-value is greater than the significance level.

  
  
  
  

b-3.Interpret the results at αα = 0.01.






multiple choice 4

• 
  
  
  

  We cannot conclude that the population mean differs from 450.

  
  
  
  


• 
  
  
  

  We conclude that the population mean differs from 450.

  
  
  
  


• 
  
  
  

  We cannot conclude that the sample mean differs from 450.

  
  
  
  


• 
  
  
  

  We conclude that the sample mean differs from 450.