The amount of syrup that people put on their pancakes is normally distributed with mean 80mL...

The amount of syrup that people put on their pancakes is normally distributed with mean 80mL and a standard deviation of 12 mL. Suppose that 16 randomly selected people are observed pouring syrup on their pancakes.

For the group of randomly selected 16 people. What is the probability that the average amount of syrup is between 75.5 mL and 84.5mL?

Solutions

Expert Solution

Solution :

Given that,

mean = = 80

standard deviation = = 12

= / n = 12 / 16 = 3

= P[(75.5 - 80) / 3< ( - ) / < (84.5 - 80) / 3)]

= P(-1.5 < Z < 1.5)

= P(Z < 1.5) - P(Z < -1.5)

= 0.9332 - 0.0668

= 0.8664

Probability = 0.8664

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The amount of syrup that people put on their pancakes is normally distributed with mean 59...

The amount of syrup that people put on their pancakes is normally distributed with mean 59 mL and standard deviation 9 mL. Suppose that 18 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N(,) What is the distribution of ¯x ? ¯x ~ N(,) If a single randomly selected individual is observed, find the probability that this person consumes is...

The amount of syrup that people put on their pancakes is normally distributed with mean 64...

The amount of syrup that people put on their pancakes is normally distributed with mean 64 mL and standard deviation 11 mL. Suppose that 47 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. What is the distribution of X? X ~ N What is the distribution of ¯x? ¯x ~ N If a single randomly selected individual is observed, find the probability that this person consumes is between 62...

The amount of syrup that people put on their pancakes is normally distributed with mean 55...

The amount of syrup that people put on their pancakes is normally distributed with mean 55 mL and standard deviation 11 mL. Suppose that 17 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) If a single randomly selected individual is observed, find the probability that this person consumes is between 53.5...

The amount of coffee that people drink per day is normally distributed with a mean of...

The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 5 ounces. 32 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the probability that one randomly selected person drinks between 13.7 and 14.1 ounces of coffee per day? For the 32 people, find the probability that the average coffee consumption is between 13.7 and 14.1 ounces of coffee per...

The amount of coffee that people drink per day is normally distributed with a mean of...

The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 7 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of X? X ~ N(___,___) What is the distribution of ¯x? ¯x ~ N(___,___) What is the probability that one randomly selected person drinks between 16.5 and 17.3 ounces of coffee per day? For the 34...

The amount of coffee that people drink per day is normally distributed with a mean of...

The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 7 ounces. 33 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) What is the probability that one randomly selected person drinks between 14.6 and 15.5...

Assume that the amount of cornflakes in a box is normally distributed with a mean of...

Assume that the amount of cornflakes in a box is normally distributed with a mean of 16 oz. and a standard deviation of 0.1 oz. a) Determine the percent of boxes that will contain between 15.83 oz. and 16.32 oz. of cornflakes? b) Determine the percent of boxes that will contain more than 16.16 oz. of cornflakes. c) If the manufacturer produces 300,000 boxes, how many of them will contain less than 15.83 oz. of cornflakes? d) If the manufacturer...

The fill amount of bottles of a soft drink is normally distributed, with a mean of...

The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters? b. What is the probability that the sample mean will be below 1.98 liters? c. What is the probability that the sample mean will be greater than 2.01 liters? d....

The fill amount of bottles of a soft drink is normally distributed, with a mean of...

Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean...

Suppose that the amount of sugar in a can of Pepsi is normally distributed with mean μ = 55 g and standard deviation σ = 1.5 g. What is the probability that d. What is the amount of sugar such that we can know that 97.5% of the cans will have less than that amount of sugar? e. Suppose that at the plant we randomly sample 25 cans. What is the probability that their average amount of sugar is more...

Subjects