A simple random sample of size 41 is drawn from a normal population whose standard deviation is σ=2σ=2. The sample mean is ¯x=16.5x¯=16.5. a.) Construct a 92% confidence interval for μμ. (Round answers to two decimal place.) margin of error:  lower limit:  upper limit:  b.) If the population were not normally distributed, what conditions would need to be met? (Select all that apply.) σσ is unknown simple random sample the population needs to be uniformly distributed the population needs to be normally distributed σσ is known large enough sample size n systematic sampling Is the result in part a.) valid? No Yes

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A simple random sample of size 41 is drawn from a normal population whose standard deviation is σ=2σ=2. The sample mean is ¯x=16.5x¯=16.5.

a.) Construct a 92% confidence interval for μμ. (Round answers to two decimal place.)

margin of error: 
lower limit: 
upper limit: 


b.) If the population were not normally distributed, what conditions would need to be met? (Select all that apply.)

  • σσ is unknown
  • simple random sample
  • the population needs to be uniformly distributed
  • the population needs to be normally distributed
  • σσ is known
  • large enough sample size n
  • systematic sampling



Is the result in part a.) valid?

  • No
  • Yes
  •  
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