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exis [7]
3 years ago
14

random sample has been taken from a normal population and two confidence intervals constructed using exactly the same data. The

two CIs are (38.02, 61.98) and (39.95, 60.05). (a) What is the value of the sample mean
Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

The sample mean of the random sample is 50

The margin of error (E) is the amount of error allowed in the random sample.

The confidence interval (CI) is given by:

CI = μ ± E = (μ - E, μ + E)

Given a confidence interval of (38.02, 61.98), hence:

μ - E = 38.02     (1)

μ + E = 61.98     (2)

Hence solving equations 1 and 2 simultaneously gives:

μ = 50, E = 11.98

Hence the sample mean of the random sample is 50

Find out more at: brainly.com/question/24131141

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One senior from the high schools will be selected at random. What is the probability that the senior selected will not be from h
DochEvi [55]

Using the probability concept, it is found that there is a 0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.

<h3>What is a probability? </h3>
  • A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Researching the problem on the internet, it is found that:

  • 538 seniors responded with a choice other than college.
  • Of those students, 99 + 83 + 49 + 31 + 63 + 71 = 396 are not from high school b.

Hence:

p = \frac{396}{538} = 0.7361

0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.

You can learn more about the probability concept at brainly.com/question/26148436

8 0
2 years ago
THERE IS MORE THAN ONE ANSWER THEIR IS UP TO 3 ANSWERS
kvv77 [185]

Answer:

-4.01, -4, -7

Step-by-step explanation:

equation:

-x + 6 ≥ 10

substitute each number for x

- (-3.9) + 6 ≥ 10 = (negatives cancel each other out) 3.9 + 6 = 9.9 ≥ 10 (incorrect)

-4 + 6 ≥ 10 = 2 ≥ 10 (incorrect)

- (-4.01) + 6 ≥ 10 = (negatives cancel each other out) 10.01 ≥ 10 (correct)

- (-4) + 6 ≥ 10 = (negatives cancel each other out) 10 ≥ 10 (correct)

-4.01 + 6 ≥ = 1.99 ≥ 10 (incorrect)

-3.9 + 6 ≥ 10 = 2.1 ≥ 10 (incorrect)

-0 + 6 ≥ 10 = 6 ≥ 10 (incorrect)

- (-7) + 6 ≥ 10 = (negatives cancel each other out) 11 ≥ 10 (correct)

6 0
3 years ago
Write an expression and then show the steps to solve the expression. Round to nearest hundredth. Explain what your solution mean
Semenov [28]

Answer:

see below

Step-by-step explanation:

Write an expression:

x + 1 = 1.011

solve the expression:

subtract 1 on left n right of the = sign

x + 1 - 1 = 1.011 - 1

x = 0.011

Round to nearest hundredth

x = 0.01

The solution is solving an algebra equation with the ans rounded to the hundredth.


4 0
3 years ago
What are the coordinates of point P?
Nadusha1986 [10]

Answer:

(-4,3)

Step-by-step explanation:

hope this helps :)

6 0
3 years ago
How long does it take an airplane flying at a speed of 600 miles per hour to fly 3,000 miles?
ser-zykov [4K]

Answer:

<u>Option D is answer.</u>

Step-by-step explanation:

Hi there!

From the question;

Speed (s) = 600 miles/hr

Distance (d) = 3000 miles

Time (t) = ?

We know that;

Speed (s) = \frac{Distance(d)}{Time (t)}

600 = \frac{3000}{t}

t = \frac{3000}{600}

Therefore, it will take 5 hours to fly 3000 miles.

Hope its helps!

7 0
2 years ago
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