Problems 17 and 18. Use the following information to answer the questions. Findi

Question

Problems 17 and 18. Use the following information to answer the questions. Finding Probabilities. For a sample with n = 84, µ = 72 and = 3.5. 17. What is P(x > 72.9)? 18. Would it be considered unusual if x > 72.9? (Note: See last paragraph page 137.) 19. Gas Prices: Arizona. During a certain week the mean price of gasoline in Arizona was $3.629 per gallon. A random sample of 43 gas stations is drawn from this population. What is the probability that the mean price for the sample was between $3.610 and $3.625 that week? Assume = $0.052. Please show details. Thanks

Explanation / Answer

Substitute the values in following equation.

z=(Xbar-mu)/(sigma/sqrt n)=(72.9-72)/(3.5/sqrt 84)=2.36.

The p value is 0.0091.

The required data is not provided for answering 18.

In any case, if x>72.9, the result is significant at alpa=0.05. therefore, it is not unuual.

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