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ra1l [238]
3 years ago
11

The advertising department of a nationally circulated magazine wishes to estimate the mean age of its subscribers within 0.5 yea

r with 90% confidence. If they estimate that the standard deviation of the ages of their subscribers is about 5 years, what is the minimum size of the sample they must take: Group of answer choicesa. 17 b. 165 c. 45 d. 271 e. 13
Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Margin of error = 0.5 years

Standard deviation = 5

At 90% confidence, z = 1.645

We need to find the minimum size of the sample they must take.

So,

n=(\dfrac{z\sigma}{E})^2\\\\n=(\dfrac{1.645\times 5}{0.5})^2\\\\n=270.6\\\\n\approx 271

Hence, Option 'd' is correct.

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Solve the system of equations. 2x + 7y =3 <br>x = -4y <br>x = <br>y =​
dimaraw [331]

Answer:

x = 3/2−7y/2

Step-by-step explanation:

hope this is correct

8 0
2 years ago
A survey found that women's heights are normally distributed with mean 62.7 in, and standard deviation 2.8 in. The survey also f
Viefleur [7K]

Using the normal distribution, we have that:

The percentage of men who meet the height requirement is 3.06%. This suggests that the majority of employees at the park are females.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation of men's heights are given as follows:

\mu = 69.3, \sigma = 3.9.

The proportion of men who meet the height requirement is is the <u>p-value of Z when X = 62 subtracted by the p-value of Z when X = 55</u>, hence:

X = 62:

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

Z = \frac{62 - 69.3}{3.9}

Z = -1.87

Z = -1.87 has a p-value of 0.0307.

X = 55:

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

Z = \frac{55 - 69.3}{3.9}

Z = -3.67

Z = -3.67 has a p-value of 0.0001.

0.0307 - 0.0001 = 0.0306 = 3.06%.

The percentage of men who meet the height requirement is 3.06%. This suggests that the majority of employees at the park are females.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
1 year ago
How do you find the reduced simplest form for 12/126
Rainbow [258]
What number can you divide both the divisor and denominator by? 

i see that 12 and 126 are divisible by 1, 2, 3, and  6

we're going to choose the biggest number we can divide by (which is 6)

12/6=2   /  126/6=21

the answer would be 2/21 because there is no other number (other than 1) that you could divide these both into

7 0
3 years ago
Find the unit rate (cost of 1 candy bar) if it costs $2.59 for 4 candy bars.
Anuta_ua [19.1K]
So you do 2.59/4

= 0.6475
round it to 0.65
5 0
3 years ago
Read 2 more answers
The actual length of a machine is 12.25cm , the measured length 12.2cm find the Absolute error .
NeX [460]

Answer:

Absolute error is 0.05 cm.

Step-by-step explanation:

Given:

Actual length = 12.25 cm

Measured length = 12.2 cm

We need to find Absolute error.

Solution:

Now we can say that;

Absolute error is equal to measured length minus Actual actual.

framing in equation form we get;

Absolute error = |Measured\ length - Actual\ length|= |12.2-12.25| = |-0.05|

Hence Absolute error is 0.05 cm.

6 0
3 years ago
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