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Delicious77 [7]
3 years ago
5

In a study of the television viewing habits of children, a developmental psychologist selects a random sample of 300 first grade

rs - 100 boys and 200 girls. Each child is asked which of the following TV programs they like best: The Lone Ranger, Sesame Street, or the Simpsons.
Complete the following table:

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer

let me know if you can see the photo

Step-by-step explanation:

Download pdf
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The mean life of a television set is 119119 months with a standard deviation of 1414 months. If a sample of 7474 televisions is
Pepsi [2]

Answer:

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean

In this problem, we have that:

\mu = 119, \sigma = 14, n = 74, s = \frac{14}{\sqrt{74}} = 1.6275

What is the probability that the sample mean would differ from the true mean by less than 1.11 months?

This is the pvalue of Z when X = 119 + 1.1 = 120.1 subtracted by the pvalue of Z when X = 119 - 1.1 = 117.9. So

X = 120.1

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{120.1 - 119}{1.6275}

Z = 0.68

Z = 0.68 has a pvalue of 0.7517

X = 117.9

Z = \frac{X - \mu}{s}

Z = \frac{117.9 - 119}{1.6275}

Z = -0.68

Z = -0.68 has a pvalue of 0.2483

0.7517 - 0.2483 = 0.5034

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

3 0
3 years ago
What graph matches the equation y+6 =3/4(x+4)?
Varvara68 [4.7K]

Answer:

Step-by-step explanation:

4 0
3 years ago
Topsoil A 40-pound bag of topsoil will cover a surface area of 12 ft2.
babymother [125]
Its easy just subtract so example subtract 480 - ____  just keep adding a number until it tells you the awnser
7 0
2 years ago
Splitting Squares (square root)<br><br> Number 34 (picture above)
miskamm [114]

Answer: 3rp\sqrt{5}

<u>Step-by-setp explanation:</u>

  \sqrt{45r^{2}p{2}}

= \sqrt{3*3*5*r*r*p*p}

= 3*r*p\sqrt{5}

= 3rp\sqrt{5}

6 0
3 years ago
Determine whether the following statements are true and give an explanation or a counter example. a. The Trapezoid Rule is exact
Norma-Jean [14]

Answer:

statement is TRUE  

statement is FALSE  

statement is TRUE  

Step-by-step explanation:

(a)  

By using the Trapezoidal Rule, the definite integral can be computed by applying linear interpolating formula on each sub interval, and then sum-up them, to get the value of the integral  

So, in computing a definite integral of a linear function, the approximated value occurred by using Trapezoidal Rule is same as the area of the region.  Thus, the value of the definite integral of a linear function is exact, by using the Trapezoidal Rule.  

Therefore, the statement is TRUE  

(b) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.  

So, for the midpoint rule, the number of sub-intervals, n is increased by a factor of 3, then the error is decreased by a factor of 32 = 9, not 8. Therefore, the statement is FALSE  

(c) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.  

So, for the trapezoidal rule, the number of sub-internals, n is increased by a factor of 4. then the error is decreased by a factor of 42 = 16  

Therefore, the statement is TRUE  

3 0
3 years ago
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