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FrozenT [24]
2 years ago
14

Suppose students' ages follow a skewed right distribution with a mean of 24 years old and a standard deviation of 3 years. If we

randomly sample 350 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?
a. The shape of the sampling distribution is approximately normal.
b. The mean of the sampling distribution is approximately 24-years old.
c. The standard deviation of the sampling distribution is equal to 5 years.
d. All of the above statements are correct.
Mathematics
1 answer:
natta225 [31]2 years ago
8 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Mean of students' age = 24 years

Standard deviation of students' age = 3 years

Sample size = number of students = 350

So, according to options,

a. The shape of the sampling distribution is approximately normal.

It is true as n >30, we will use normal.

b. The mean of the sampling distribution is approximately 24-years old.

It is true as it is given.

c. The standard deviation of the sampling distribution is equal to 5 years.

It is not true as it is given 3 years.

Hence, Option 'c' is correct.

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Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and
Dvinal [7]

Answer:

1.25x + 1.5y=25

Step-by-step explanation:

let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.

6 0
2 years ago
Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was $728.
shtirl [24]

Answer:

The original price of computer is $ 1040

Solution:

Given that, Mason used a 30% coupon to buy a new computer

After the discount, the cost of the computer was $728

To find: original price of computer

From given question,

price after discount = $ 728

discount = 30 % of original price

Let "x" be the original price of computer

price after discount = original price - discount price

Step-by-step explanation:

5 0
1 year ago
Passengers of flyaway airlines can purchase tickets for either business class or economy class. On one particular flight there w
Slav-nsk [51]

Answer:

x = 8

y = 146

Error = 4.86%

Step-by-step explanation:

Number of business class passenger = x

and the economy class passenger = y

Total number of passengers = 154

x + y = 154 ------(1)

Cost of business class tickets and economy class tickets are €320 and €85 respectively.

Total amount received by airlines is €14970.

320x + 85y = 14970

64x + 17y = 2994 --------(2)

Multiply equation (1) by 17 and subtract from equation (2)

(64x + 17y) - (17x + 17y) = 2994 - 2618

47x = 376

x = 8

From equation (1),

8 + y = 154

y = 154 - 8

y = 146

Airline officer wrote down the amount received as €14270

Then difference from the actual amount received = 14970 - 14270

                                                                                   = €700

% Error =  \frac{\text{Difference in amount}}{\text{Actual amount}}\times 100

            = \frac{700}{14970}\times 100

            = 4.676

            ≈ 4.68%

Therefore, x = 8 and y = 146

             and % error = 4.68%

8 0
2 years ago
A square has an area of 50 square feet what is the perimeter of the square rounded to the nearest foot
dezoksy [38]

Answer:

28 feet

Step-by-step explanation:

area of a square = side times side; the sides are equal

50 = side times side or 50 = side^2

sqroot of 50 = sqroot of side^2

7 feet is about the size of the side of the square so using that information..

2 length + 2 width or 4 side

4 times 7 = 28

the perimeter is 28 feet

8 0
2 years ago
What is the value of x is in the solution set of 2x - 3 > 11 - 5x
Burka [1]

Step 1: Simplify both sides of the inequality.
2 x − 3 > − 5 x + 11

Step 2: Add 5x to both sides.
2 x − 3 + 5 x > − 5 x + 11 + 5 x
7 x − 3 > 11

Step 3: Add 3 to both sides.
7 x − 3 + 3 > 11 + 3
7 x > 14

Step 4: Divide both sides by 7.
7 x
7 > 14
7
x > 2
7 0
1 year ago
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