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fenix001 [56]
2 years ago
5

If other factors are held constant, what happens to a confidence interval if the sample variance increases? The range of t score

s increases and the width of the interval increases. The range of t scores decreases and the width of the interval decreases. The standard error increases and the width of the interval increases. The standard error decreases and the width of the interval decreases.
Mathematics
1 answer:
Firlakuza [10]2 years ago
3 0

Answer:

The standard error increases and the width of the interval increases

Step-by-step explanation:

The variance is equal to the square of the standard deviation. An increase in variance will increase the standard deviation.

The width of the confidence interval can be defined as:

W=UL-LL=2z\sigma/\sqrt{n}

The width is proportional to the standard deviation, so when the variance increases, the standard deviation and also the width of the interval increases.

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The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 mont
navik [9.2K]

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

\mu = 48, \sigma = 8, Z = -3.

Hence:

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

-3 = \frac{X - 48}{8}

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ4

6 0
1 year ago
Can someone please explain to me how to tell if a number it's prime or not
slavikrds [6]

Answer:

A prime number is a number that can only be divided by 1 and itself.

3 0
2 years ago
Read 2 more answers
The perimeter of a rectangle is 400 feet and the length of the rectangle is 3 times the width. find the dimensions of the rectan
bazaltina [42]
Width: x
Length: 3x
Perimeter=x+x+3x+3x=8x
8x=400
x=50
Dimension is 150×50 feet (length × width)
8 0
3 years ago
the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km,
Olegator [25]

Answer:

255

Step-by-step explanation:

total cost paid = fixed cost + total variable cost

total variable cost = distance travelled x variable cost per unit

two equations can be derived from the question

a + 10b = 105  equation 1

a + 15b = 155   equation 2

a = fixed cost

b =  variable cost per unit

Subtract equation 1 from 2

5b = 50

b = 10

Substitute for b in equation 1

a + 10(10) = 105

a = 105 - 100 = 5

a = 5

cost of travelling a distance of 25km

5 + 10(25) = 255

3 0
2 years ago
The temperature outside of Brandon's house is −5°F, while the temperature outside of Nick's house is 3°F. How many degrees warme
STatiana [176]

Answer:

9F

Step-by-step explanation:

-5...-4...-3...-2...-1...0...1...2...3

3 0
2 years ago
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