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hollie62
hollie62
20.03.2020 • 
Mathematics

Assume that the only 2 manufacturers of ukuleles are Makala and Lanakai. The prices of ukuleles manufactured by Makala are normally distributed with mean $45 and standard deviation $10. The prices of ukuleles manufactured by Lanakai are uniformly distributed from $55 to $75, with mean $65 and standard deviation $5.77. Ana is learning to play the ukulele at school and is saving her money to buy a higher end Lanakai ukulele. She receives a ukulele for her birthday as a present and the receipt was included. The ukulele does not have a manufacturer label so she does not know if it is manufactured by Makala or Lanakai, so she will determine the manufacturer based on price, that is, to test the competing hypotheses: H0: The ukulele is manufactured by Makala versus Ha: The ukulele is manufactured by Lanakai She will use the following decision rule: If the price of the ukulele is $57 or more, she will decide that it was manufactured by Lanakai (Ha), but if the price of the ukulele is less than $57 dollars, she will decide that it was manufactured by Makala (H0).

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