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3 years ago

A polling company reported that % of surveyed adults said that Complete parts (a) through (d) below.

Mathematics

1 answer:

SOVA2 [1]3 years ago

8 0

Answer:

a) 376.66

b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) 377

d) 40.77%

Step-by-step explanation:

a) 37% of 1018 is;

37/100 × 1018 = 376.66

b) Thus, the result in a above is not a whole number. Thus;

No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) from a above a, we got a value of 376.66.

Now the actual number would be preferably an integer. Thus, actual number is approximately 377.

d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%

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Ricardo and Tammy practice putting golf balls. Ricardo makes 47% of his putts and Tammy makes 51% of her putts. Suppose that Ric

yaroslaw [1]

Answer:

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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 normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction of normal variables:

When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.

Ricardo makes 47% of his putts, and attempts 25 putts.

By the Central Limit Theorem, we have that:

$\mu_R = 0.47, s_R = \sqrt{\frac{0.47*0.53}{25}} = 0.0998$

Tammy makes 51% of her putts, and attempts 30 putts.

By the Central Limit Theorem, we have that:

$\mu_T = 0.51, s_T = \sqrt{\frac{0.51*0.49}{30}} = 0.0913$

What is the probability that Ricardo makes a higher proportion of putts than Tammy?

This is the probability that the subtraction of R by T is larger than 0. The mean and standard deviation of this distribution are, respectively:

$\mu = \mu_R - \mu_T = 0.47 - 0.51 = -0.04$

$s = \sqrt{s_R^2 + s_T^2} = \sqrt{0.0998^2 + 0.0913^2} = 0.1353$

This probability is 1 subtracted by the pvalue of Z when X = 0. So

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

By the Central Limit Theorem

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

$Z = \frac{0 - (-0.04)}{0.1353}$

$Z = 0.3$

$Z = 0.3$ has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

6 0

3 years ago

Read 2 more answers

The quantitative analysis approach requires a.a relatively uncomplicated problem b. each of the other three choices is true c. t

telo118 [61]

Answer:

D. Mathematical expressions for the relationships

Step-by-step explanation:

Quantitative analysis also called QA for short is the technique that tries to understand behaviour by using mathematical and statistical modeling, measurement and research. A quantitative analyst aims to represent a given reality in terms of numerical value. This can be achieved by using mathematical formulas and expressions to explain the relationships that exists between the variables. The data analyzed are usually gotten from polls and questionnaires or in general, well structured research instruments.

3 0

3 years ago

Latoya has 75fewer cards than Andrew. Clinton has 38 more cards than Latoya.clinton has 200 cards. How many picture cards does A

Lena [83]

L = A - 75
C = L + 38
C = 200

200 = L + 38
200 - 38 = L
162 = L

L = A - 75
162 = A - 75
162 + 75 = A
237 = A <====

7 0

3 years ago

A die is loaded in such a way that an even number is twice as likely to occur as an odd number. If is the event that a number le

andrew11 [14]

Answer:

4/9

Step-by-step explanation:

Given that :

Die is designed such that even numbers are twice as likely to occur as odd number.

Hence,

Sample space :

1, 2, 2, 3, 4, 4, 5, 6, 6

Total possible outcomes = 9

Probability that a number less than 4 occurs on a single toss of the die.

Probability = required outcome / Total possible outcomes

Required outcome = number less than 4 [1, 2, 2, 3]

Hence,

P(obtaining a number less than 4):

(Number of possible outcomes less than 4 / total number of events in sample space)

= 4 / 9

3 0

3 years ago

What is the volume of a box with a hight of 3/2 a length of 7/2 and a width of 5/2?

LUCKY_DIMON [66]

Answer:

V = 105/8

Step-by-step explanation:

Volume of a box is length time width times height

V = l*w*h

= 7/2 * 5/2 * 3/2

= 105/8

6 0

2 years ago

A polling company reported that ​% of surveyed adults said that Complete parts​ (a) through​ (d) below.

A polling company reported that % of surveyed adults said that Complete parts (a) through (d) below.