Z-Distribution Intervals   Collette is self-employed, selling items at Home Interior parties. She wants to estimate the average amount a client spends at each party. A random sample of 35 clients' receipts gave a sample mean of $34.70 and historically we know the population standard deviation of spending at these parties to be $4.85.    Explain why you may assume your data is normally distributed.    Find a 90% confidence interval for the average amount any given client can be expected to spend at a party.    Write a brief explanation of the meaning of the confidence interval in the context of this problem

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Z-Distribution Intervals

 

Collette is self-employed, selling items at Home Interior parties. She wants to estimate the average amount a client spends at each party. A random sample of 35 clients' receipts gave a sample mean of $34.70 and historically we know the population standard deviation of spending at these parties to be $4.85.

 

 Explain why you may assume your data is normally distributed.

 

 Find a 90% confidence interval for the average amount any given client can be expected to spend at a party.

 

 Write a brief explanation of the meaning of the confidence interval in the context of this problem

 

For a party with 35 clients, use part (b) to estimate a range of dollar values for Collette's total sales at that party.

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