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Marianna [84]
3 years ago
12

"The mean age of all students at the University has a 95% chance of falling between 21.3 and 24.6 years of age." This statement

represents:
Mathematics
1 answer:
OleMash [197]3 years ago
3 0

Answer:

Confidence interval of the population mean

Step-by-step explanation:

The statement above is a report of the estimated confidence interval value which is used to obtain the estimate if the population mean from a given sample.

The statement above gives the confidence interval at α = 95%

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Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia
Elan Coil [88]

Answer:

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 75, \sigma = 12.5

Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.

X = 81

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

Z = \frac{81 - 75}{12.5}

Z = 0.48

Z = 0.48 has a pvalue of 0.6844

X = 69

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

Z = \frac{69 - 75}{12.5}

Z = -0.48

Z = -0.48 has a pvalue of 0.3156

0.6844 - 0.3156 = 0.3688

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

3 0
3 years ago
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20. A community is having a Taste of the Town event featuring dishes from the area’s best restaurants. The cost of admission is
marin [14]

Answer:

18550 - 10x

Step-by-step explanation:

Given that :

Cost of admission in Advance = $25

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Number of people who paid in advance = x

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Total amount made from ticket sales will be :

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25x + 18550 - 35x

18550 - 10x

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Simplify the expression
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The answer to your question is 
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Solve the inequality and enter your solution as an inequality in the box below.
PSYCHO15rus [73]

Answer:

x > -10

Step-by-step explanation:

2 + x > -8

x > -8 - 2

x > -10

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2 years ago
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Can someone please help me with this math question?
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Answer:

y = -1x - 3

or

y = -x - 3

Step-by-step explanation:

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