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Anton [14]
2 years ago
13

The weight of toys a toddler owns has a population mean of 15.8kg and a population standard deviation of 4.2kg. What is the prob

ability a toy store owner could select a sample of 49 toddlers and find the sample mean to be
(a) 15.1kg or less? (answer?)

(b) 15.1kg or more? (answer?)

Leave all answers to 4 decimal places.
Mathematics
1 answer:
Goryan [66]2 years ago
4 0

The weight of toys a toddler owns has a population mean of 15.8kg and a population standard deviation of 4.2kg. then the probability a toy store owner could select a sample of 49 toddlers and find the sample mean to be 15.1kg or less is 0.121 and 15.1kg or more is 0.879.

Given Information:

Population mean, μ = 15.8 kg

Population standard deviation, σ = 4.2 kg

For finding the probability for the sample mean, we first need to find the standard score.

(a) For sample mean to be 15.1kg or less,

z = (x - μ) / (σ/√n)

Here, x = 15.1

⇒ z = (15.1 - 15.8) / (4.2/√49

z =-0.7 / (4.2/7)

z = -1.17

Now, we can use the z-table to find the probability of the sample mean to be 15.1kg or less.

∴ P(x ≤ 15.1) = 0.121

(b) Now, to find the probability of sample mean to be 15.1kg or more, we can simply subtract P(x ≤ 15.1) from 1.

⇒ P(x ≥ 15.1) = 1 - P(x ≤ 15.1)

P(x ≥ 15.1) = 1 - 0.121

P(x ≥ 15.1) = 0.879

Learn more about sample mean here:

brainly.com/question/20747890

#SPJ1

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Probability of coming out the way you want it to =

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A cat is to receive 90 kcal of a canned food at each meal. The food has a caloric
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Answer:

The cat should receive 1/5 of the can of food at each meal.

Step-by-step explanation:

Given that a cat is to receive 90 kcal of a canned food at each meal, and the food has a caloric density of 450 kcal per can, to determine what fraction of a can it should receive at each meal, the following calculation must be performed:

1 / (450/90) = X

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Thus, the cat should receive 1/5 of the can of food at each meal.

5 0
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An alloy of tin is 15% tin and weights 20 pounds. A second allow is 10% tin. How many pounds of the second alloy must be added t
Fofino [41]
Let x represent the amount to be added. The total amount of tin will be
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8 0
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Need help before 7:00
ipn [44]

Answer:

Area of circle = 465.82 cm²

Step-by-step explanation:

Given the following data;

Circumference of the hub cap = 76.49 cm

Pie, π = 3.14

To find the area of the hub cap;

First of all, we would determine the radius of the hub cap.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Where:

C is the circumference of a circle.

r is the radius of a circle.

C = 2πr

76.49 = 2 * 3.14 * r

76.49 = 6.28r

Radius, r = 76.49/6.28

Radius, r = 12.18 cm

Next, we find the area of the hub cap;

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Area of circle = 3.14 * 12.18²

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Area of circle = 465.82 cm²

However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.

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