Posted: May 1st, 2022

The amount of coffee that people drink per day is normally distributed with a mean of 17

1.

The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a commonplace deviation of 7 ounces. 32 randomly chosen people are surveyed. Spherical all solutions to four decimal locations the place doable.

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the chance that one randomly chosen individual drinks between 16.6 and 17.2 ounces of coffee per day?
For the 32 people, discover the chance that the typical coffee consumption is between 16.6 and 17.2 ounces of coffee per day.
For half d), is the idea that the distribution is regular crucial? YesNo
Discover the IQR for the typical of 32 coffee drinkers.
Q1 = ounces
Q3 = ounces
IQR: ounces

2.

The amount of syrup that people placed on their pancakes is normally distributed with mean 65 mL and commonplace deviation 7 mL. Suppose that 9 randomly chosen people are noticed pouring syrup on their pancakes. Spherical all solutions to four decimal locations the place doable.

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
If a single randomly chosen particular person is noticed, discover the chance that this individual consumes is between 65.eight mL and 67.9 mL.
For the group of 9 pancake eaters, discover the chance that the typical amount of syrup is between 65.eight mL and 67.9 mL.
For half d), is the idea that the distribution is regular crucial? NoYes
three.

Suppose that the typical quantity of Fb buddies customers have is normally distributed with a mean of 110 and a commonplace deviation of about 55. Assume forty-nine people are randomly chosen. Reply the next questions. Spherical all solutions to four decimal locations the place doable.

What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 49, discover the chance that the typical quantity of buddies is greater than 109.
Discover the third quartile for the typical quantity of Fb buddies.
For half b), is the idea that the distribution is regular crucial? YesNo

four.

The amount of pollution that are present in waterways close to massive cities is normally distributed with mean 9.7 ppm and commonplace deviation 1.three ppm. 38 randomly chosen massive cities are studied. Spherical all solutions to four decimal locations the place doable.

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the chance that one randomly chosen metropolis’s waterway may have lower than 10 ppm pollution?
For the 38 cities, discover the chance that the typical amount of pollution is lower than 10 ppm.
For half d), is the idea that the distribution is regular crucial? NoYes
Discover the IQR for the typical of 38 cities.
Q1 = ppm
Q3 = ppm
IQR: ppm

5.

The common rating for video games performed within the NFL is 21.three and the usual deviation is 9.1 factors. 17 video games are randomly chosen. Spherical all solutions to four decimal locations the place doable and assume a regular distribution.

What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
P(¯xx¯ < 23.0894) =
Discover the 69th percentile for the mean rating for this pattern measurement.
P(18.1894 < ¯xx¯ < 23.3036) =
Q1 for the ¯xx¯ distribution =
P(∑x∑x > 358.5198) =
For half c) and e), is the idea of regular crucial? YesNo

6.

The common amount of cash that people spend at Don Mcalds quick meals place is $7.5400 with a commonplace deviation of $1.8500. 11 clients are randomly chosen. Please reply the next questions, and spherical all solutions to four decimal locations the place doable and assume a regular distribution.

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
What is the chance that one randomly chosen buyer will spend lower than $7.8333?
For the 11 clients, discover the chance that their common spent is greater than $7.8333.
Discover the chance that the randomly chosen 11 clients will spend greater than $86.1663.
For half e) and f), is the idea of regular crucial? NoYes
The proprietor of Don Mcalds provides a coupon for a free sundae to the three% of all teams of 11 people who spend essentially the most cash. No less than how a lot should a group of 11 spend in complete to get the free sundae? $

7.

A pc selects a quantity XX from zero to five randomly and uniformly. Spherical all solutions to four decimal locations the place doable.

What is the distribution of XX? XX ~ U(,)
Suppose that the pc randomly picks 37 such numbers. What is the distribution of ¯xx¯ for this choice of numbers. ¯xx¯ ~ N(,)
What is the chance that the typical of 37 numbers can be greater than 2.eight?

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1.

People’s day by day coffee consumption is normally distributed, with a mean of 17 ounces and a commonplace deviation of 7 ounces. A complete of 32 people are surveyed at random. If doable, spherical all solutions to 4 decimal locations.

What is XX’s chance distribution? XX N XX N XX N XX N XX (,)

What is the chance distribution of xx? xx N (,)

What is the prospect that one randomly chosen individual drinks 16.6 to 17.2 ounces of coffee per day?

Calculate the chance that the typical coffee consumption for the 32 people is between 16.6 and 17.2 ounces per day.

Is it essential to assume that the distribution is regular for half d)? YesNo

Calculate the IQR for a group of 32 coffee drinkers.

ounces = Q1

ounces = Q3

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