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Chapter 6 & 7 Quiz

Chapter 6 & 7 Quiz

Q QUESTION 1•1/1 POINTS A baker knows that the daily demand for strawberry pies is a random variable that follows the normal distribution with a mean of 31.8 pies and a standard deviation of 4.5 pies. Find the demand that has an 8% probability of being exceeded. • Use Excel, and round your answer to two decimal places. QUESTION 2•1/1 POINTS Porter's points per basketball game are normally distributed with a standard deviation of 6 points. If Porter scores 50 points, and the z-score of this value is 4, then what is his mean points in a game? Do not include the units in your answer. For example, if you found that the mean is 33 points, you would enter 33. QUESTION 3•1/1 POINTS The burning times of scented candles, in minutes, are normally distributed with a mean of 249 minutes and a standard deviation of 20 minutes. Find the number of minutes a scented candle burns if it burns for a shorter time than 80% of all scented candles. (That is, 80% of all candles will last longer.) • Use Excel, and round your answer to two decimal places. QUESTION 4•1/1 POINTS Given the plot of normal distributions A, B and C below, which of the following statements is true? Select all correct answers. Three Distributions with varying means and standard deviations. QUESTION 5•1/1 POINTS Given the plot of normal distributions A, B and C below, which of the following statements is true? Select all correct answers. Three Distributions with varying means and standard deviations.

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Correct answers: • $38.12$38.12 Here, the mean, ?, is 31.8 and the standard deviation, ?, is 4.5. Let x be the number of pies such that there is an 8% probability that the demand will be above this number. The area to the right of x is 8%=0.08. So, the area to the left of x is 1?0.08=0.92. Use Excel to find x. 1. Open Excel. Click on an empty cell. Type =NORM.INV(0.92,31.8,4.5) and press ENTER. The answer, rounded to two decimal places, is x?38.12. Therefore, there is an 8% probability that the demand exceeds 38.12 pies.