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Andru [333]
3 years ago
5

What is the critical value z* for constructing a 95% confidence interval?

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0

Answer: The Z value for 95% confidence is Z=1.96.

Step-by-step explanation:

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Ted's patio is the shape of a right triangle. Tell how he should determine the area of the patio.
krok68 [10]
A right triangle is either 90 degrees or 180 degrees
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3 years ago
Carlos went to PetSmart to get his hamster an exercise ball. There was a small one with a 5 inch diameter and a 13 inch ball. Ho
myrzilka [38]

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

<h3>What is the Volume of a Sphere/Spherical Solid?</h3>

To find the volume of a sphere, which is the amount of space the solid contains, the formula used is given as: 4/3 πr³, where r is the radius of the sphere, which is half the measure of the diameter. Volume of sphere (V) = 4/3 πr³.

Diameter of the smaller spherical ball = 5 inches

Radius of the smaller spherical ball = 5/2 = 2.5 inches

Volume of the smaller spherical ball = 4/3 πr³ = 4/3 × π × 2.5³

Volume of the smaller spherical ball ≈ 65.5 in.³

Diameter of the larger spherical ball = 13 inches

Radius of the larger spherical ball = 13/2 = 6.5 inches

Volume of the larger spherical ball = 4/3 πr³ = 4/3 × π × 6.5³

Volume of the larger spherical ball ≈ 1,150.3 in.³

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,150.3  - 65.5

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

Learn more about the volume of sphere on:

brainly.com/question/22807400

#SPJ1

4 0
2 years ago
You earn $62.50 shoveling snow off of 5 driveways. You charge the same amount for each driveway. How much did you earn for each
77julia77 [94]

Answer:

the answer is 62.5/5=12.5

3 0
3 years ago
Read 2 more answers
(20 POINTS AND BRAINLIEST FOR BEST)
pav-90 [236]

Ending position (in order)

+ 4

+ 3

+ 7

+ 3

0

+ 3

- 2

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Hope this helps :)

4 0
3 years ago
Read 2 more answers
The mean life of a television set is 119119 months with a standard deviation of 1414 months. If a sample of 7474 televisions is
Pepsi [2]

Answer:

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean

In this problem, we have that:

\mu = 119, \sigma = 14, n = 74, s = \frac{14}{\sqrt{74}} = 1.6275

What is the probability that the sample mean would differ from the true mean by less than 1.11 months?

This is the pvalue of Z when X = 119 + 1.1 = 120.1 subtracted by the pvalue of Z when X = 119 - 1.1 = 117.9. So

X = 120.1

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

By the Central Limit Theorem

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

Z = \frac{120.1 - 119}{1.6275}

Z = 0.68

Z = 0.68 has a pvalue of 0.7517

X = 117.9

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

Z = \frac{117.9 - 119}{1.6275}

Z = -0.68

Z = -0.68 has a pvalue of 0.2483

0.7517 - 0.2483 = 0.5034

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

3 0
3 years ago
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