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The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 47 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ~ N( b. For the group of 47, find the probability that the average hand length is more than 194. c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? ONo O Yes Get help: Written Example

The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 47 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ~ N( b. For the group of 47, find the probability that the average hand length is more than 194. c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? ONo O Yes Get help: Written Example

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The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 47 individuals are randomly chosen. Round all answers to 4 where possible.

  1. What is the distribution of x¯? ¯x ~ N(   ,   )
  2. For the group of 47, find the probability that the average hand length is more than 194. 
  3. Find the first quartile for the average adult male hand length for this sample size.  Round to 2 decimal places. 
  4. For part b), is the assumption that the distribution is normal necessary?  No  Yes
The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 47 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ~ N( b. For the group of 47, find the probability that the average hand length is more than 194. c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? ONo O Yes Get help: Written Example
Transcribed Image Text:The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 47 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ~ N( b. For the group of 47, find the probability that the average hand length is more than 194. c. Find the first quartile for the average adult male hand length for this sample size. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? ONo O Yes Get help: Written Example
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