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wlad13 [49]
3 years ago
15

A researcher wants to determine if birthweights of children born to U.S. mothers is affected in any way when large megadoses of

caffeine are consumed routinely by the mother during pregnancy. It is known that the birthweights are normally distributed with mean 7.5 pounds and standard deviation 1 pound. When drawing a sample of size 40 from such a population, and computing the mean birthweight in the sample, use the Central Limit Theorem to find the 2.5-th percentile of the distribution of sample means.
Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

7.19

Step-by-step explanation:

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11 weeks

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The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a mean of 2 ounces and a standard deviati
TiliK225 [7]

Answer: the probability the mean weight will exceed 2.1 ounces is 0.09

Step-by-step explanation:

Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 2

σ = 0.3

n = 16

x = 2.1

the probability that the mean weight will exceed 2.1 ounces is expressed as

P(x ≥ 2.1)

For x = 2.1

z = (2.1 - 2)/(0.3/√16) = 1.33

We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be

p = 1 - 0.91 = 0.09

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6 0
3 years ago
First.
velikii [3]

Answer:o

Step-by-step explanation:

3 0
3 years ago
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If f(x) = x² + 7, what is the value of f(4)? Enter the answer in the box. PLEASE HELP .
bazaltina [42]

Answer:

23

Step-by-step explanation:

With f(4), we plug 4 into the function.

f(4) = 4² + 7

f(4) = 16 + 7

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Your line in slope-intercept form is
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