Question

In: Statistics and Probability

A consumer product magazine recently ran a story concerning the increasing prices of digital cameras. The...

A consumer product magazine recently ran a story concerning the increasing prices of digital cameras. The story stated that digital camera prices dipped a couple of years ago, but now are beginning to increase in price because of added features. According to the story, the average price of all digital cameras a couple of years ago was $215.00. A random sample of n = 200 cameras was recently taken and entered into a spreadsheet. It was desired to test to determine if that average price of all digital cameras is now more than $215.00. Find the large-sample rejection region appropriate for this test if we are using  .

Reject H0 if z < -1.645 or z > 1.645.

Reject H0 if z < -1.96 or z > 1.96.

Reject H0 if z > 1.645.

Reject H0 if z < -1.96.

Solutions

Expert Solution

Answer:-

Given that:-

A consumer product magazine recently ran a story concerning the increasing prices of digital cameras. The story stated that digital camera prices dipped a couple of years ago, but now are beginning to increase in price because of added features. According to the story, the average price of all digital cameras a couple of years ago was $215.00. A random sample of n = 200 cameras was recently taken and entered into a spreadsheet. It was desired to test to determine if that average price of all digital cameras is now more than $215.00.

Find the large-sample rejection region appropriate for this test if we are using  .?

Let denotes the average price of all digital cameras using

To test the hypothesis

  

We have a right tailed test, thus we reject iff

  


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