The National Quality Research Center at the University of Michigan provides a quarterly measure of consumer opinions about products and services. A survey of 50 restaurants in the Fast Food / Pizza group showed that the average rating was a 71. Past data indicate that the population standard deviation of the index has been relatively stable, with sigma = 5. Calculate a 90% confidence interval for the population mean index for this type of restaurants.

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A: Zcritical=Zα/2=1.6449 H0:μ=12 vs H1:μ≠ 12  n=38, x¯=11.4  and σ=2.2 Z=(X¯-μ)σ/n

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