The average resting heart rate of a population is 90 beats per minute, with a standard deviation of 10.5 bpm. Find the z-scores that correspond to each of the following heart rates. Round your answers to the nearest hundredth, if necessary.

(a) 113 bpmz = (b) 78 bpmz = Detailed Answer: Understanding Z-Scores: Analyzing Resting Heart Rates Z-scores are an essential concept in statistics, helping us understand how individual values compare to the overall population mean. They measure how many standard…

The average amount of money spent for lunch per person in the college cafeteria is 5.5 and the standard deviation is 2.97. Suppose that 16 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.

(a) What is the distribution of X? X ~ N(,) (b) What is the distribution of x̄? x̄ ~ N(,) (c) For a single randomly selected lunch patron, find the probability that this patron’s lunch cost is between $5.9663 and…

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The amount of syrup that people put on their pancakes is normally distributed with a mean of 60 mL and standard deviation of 12 mL. Suppose that 50 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.

(a) What is the distribution of X? X ~ N(,)(b) What is the distribution of x̄? x̄ ~ N(,)(c) If a single randomly selected individual is observed, find the probability that the amount of syrup this person consumes is between…

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