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Suppose that BC financial aid allots a textbook stipend by claiming that the average textbook at...

Suppose that BC financial aid allots a textbook stipend by claiming that the average textbook at BC bookstore costs $$ 82.89. You want to test this claim. The null and alternative hypothesis in symbols would be:

  • H0:μ=82.89H0:μ=82.89
    H1:μ≠82.89H1:μ≠82.89
  • H0:p≤82.89H0:p≤82.89
    H1:p>82.89H1:p>82.89
  • H0:p=82.89H0:p=82.89
    H1:p≠82.89H1:p≠82.89
  • H0:p≥82.89H0:p≥82.89
    H1:p<82.89H1:p<82.89
  • H0:μ≤82.89H0:μ≤82.89
    H1:μ>82.89H1:μ>82.89
  • H0:μ≥82.89H0:μ≥82.89
    H1:μ<82.89H1:μ<82.89

The null hypothesis in words would be:

  • The average price of textbooks in a sample is $$ 82.89
  • The average price of all textbooks from the store is $$ 82.89
  • The proportion of all textbooks from the store that are less than 82.89 is equal to 50%
  • The average of price of all textbooks from the store is less than $$ 82.89.
  • The average of price of all textbooks from the store is greater than $$ 82.89.

Based on a sample of 90 textbooks at the store, you find an average of 79.89 and a standard deviation of 26.8. The point estimate is:  (to 3 decimals) The 95 % confidence interval (use z*) is:  to  (to 3 decimals) Based on this we:

  • Reject the null hypothesis
  • Fail to reject the null hypothesis
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