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ANEK [815]
3 years ago
15

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What is t

he mean of the xbar sampling distribution
Mathematics
1 answer:
Illusion [34]3 years ago
8 0

Answer:

Sample mean (xbar) = 40

Step-by-step explanation:

Given that :

Sample size (n) = 64

Population mean (μ) = 40

Standard deviation (σ) = 5

The sample mean is equal to the population mean according to the central limit theorem.

The sample standard deviation = standard error = ;

Standard Error = σ / √n

Standard Error = 5 / √64

Standard Error = 5 / 8

Standard Error = 0.625

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There are 8 students on the minibus. Five of the students or boys. What fraction of the students are boys
blagie [28]
The fraction would be 5/8
3 0
3 years ago
a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 g
Verdich [7]
The answer is 81 < < 105

Explanation: Since the car gets 27 mpg in the city and gets 35 mpg on the highway, you can set it up in the inequality 27 < < 35 and this represents the range a car can drive for 1 gallon, so to find the range for 3 gallons, you multiply this inequality by 3.

27(3)<<35(3)
27(3)=81
35(3)=105

Then you can insert the numbers into the inequality to get 81<<105.
7 0
2 years ago
The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. A wind speed of 37 miles per ho
vfiekz [6]

Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.

Step-by-step explanation:

The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that

P is directly proportional to S

Introducing a constant of proportionality, k, it becomes

P = kS

A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that

750 = k × 37

k = 750/37 = 20.27

The expression becomes

P = 20.27S

Therefore, the output for a wind speed of 40 miles per hour would be

P = 20.27 × 40

P = 810.8

6 0
3 years ago
Write the explicit rule,
meriva

Answer:

a_{n} = 20n + 12

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 52 - 32 = 72 - 52 = 92 - 72 = 20

This indicates the sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 32 and d = 20, thus

a_{n} = 32 + 20(n - 1) = 32 + 20n - 20 = 20n + 12

7 0
2 years ago
A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks s
OLga [1]

Step-by-step explanation:

Total books = 368.

Sociology books = 92.

Psychology books = 3 times sociology books

= 3 x 92 = 276

Total = 276 + 92 = 368

3 0
3 years ago
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