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sergejj [24]
3 years ago
11

Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a n

ewspaper article, the mean of the x distribution is about $34 and the estimated standard deviation is about $7. A button hyperlink to the SALT program that reads: Use SALT. (a) Consider a random sample of n = 80 customers, each of whom has 10 minutes of unplanned shopping time in a supermarket. From the central limit theorem, what can you say about the probability distribution of x, the average amount spent by these customers due to impulse buying
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Population mean (Mp) = 34

Population standard deviation (sd) = $7

Number of customers (n) = 80 customers

According to the central limit theorem:

If the number of samples is large (usually ≥ 30), then the distribution will be normal and mean of sample will be the same as the mean of population.

Population mean(Mp) = sample mean(Ms)

Mp= Ms

$34 = $34

Sample standard deviation = standard error

Standard Error(SE) = (population standard deviation / √n)

SE = 7 / √80

SE = 7 / 8.9442719

SE = 0.7826237 = $0.78

Hence, sample distribution is Normally distributed with a mean of $34 and standard deviation of $0.78

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If the area of a rectangle is x^2+7x+12, what is the expression for the perimeter?
Cerrena [4.2K]

Length = 13 = (x + 3)

Width = 14 = (x + 4)

x2 + 7x + 12 = area of the rectangle

can be factored into

(x + 3)(x + 4)

Let L = one of the factors (x + 3)

Let W = the other factor (x + 4)

If x = 10 then

(10 + 3) = 13 = L

(10 + 4) = 14 = W

Checking this can be checked a couple of ways

Plug x = 10 into the original equation

x2 + 7x + 12

102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area

Multiplty the factors

L x W = 13 x 14 = 182 = Area

I hope you find this useful if you have any questions please send me a message.

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