A random sample of n measurements was selected from a population with unknown meanu and standard deviation a 35 for each of the situations a.n= 60, x= 25 b.n= 250, x= 111 c.n= 90, x= 17 d. n= 90, x= 4.79 e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain. parts a through d. Calculate a 99% confidence interval for u for each of these situations. a. (-11.66. 36.66) (Round to two decimal places as needed.) b. (OD (Round to two decimal places as needed.) (Round to two decimal places as needed.) d. OD

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A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ = 35 for each of the situations in parts a through d. Calculate a 99% confidence interval for μ for each of these situations.

a. n = 60, x̄ = 25  
b. n = 250, x̄ = 111  
c. n = 90, x̄ = 17  
d. n = 90, x̄ = 4.79  

e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain.

- a. [−11.66, 36.66]  
  (Round to two decimal places as needed.)

- b. [___ , ___ ]  
  (Round to two decimal places as needed.)

- c. [___ , ___ ]  
  (Round to two decimal places as needed.)

- d. [___ , ___ ]  
  (Round to two decimal places as needed.)
Transcribed Image Text:A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ = 35 for each of the situations in parts a through d. Calculate a 99% confidence interval for μ for each of these situations. a. n = 60, x̄ = 25 b. n = 250, x̄ = 111 c. n = 90, x̄ = 17 d. n = 90, x̄ = 4.79 e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain. - a. [−11.66, 36.66] (Round to two decimal places as needed.) - b. [___ , ___ ] (Round to two decimal places as needed.) - c. [___ , ___ ] (Round to two decimal places as needed.) - d. [___ , ___ ] (Round to two decimal places as needed.)
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