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slavikrds [6]
2 years ago
12

Two random samples were taken to determine how often people in a community listen to the local radio station each month. The fir

st sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20. The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12. Which statements are true? Check all that apply. The second sample is random. The second sample is likely to be more representative of the population. The first sample is likely to be more representative of the population. The second sample will give a better representation because is it larger. The first sample will give a better representation because it is smaller. Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
Mathematics
1 answer:
leonid [27]2 years ago
3 0

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

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The time for a professor to grade a student's homework in statistics is normally distributed with a mean of 12.6 minutes and a s
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Answer:

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

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 = 12.6, \sigma = 2.5

What is the probability that randomly selected homework will require between 8 and 12 minutes to grade?

This is the pvalue of Z when X = 12 subtracted by the pvalue of Z when X = 8. So

X = 12

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

Z = \frac{12 - 12.6}{2.5}

Z = -0.24

Z = -0.24 has a pvalue of 0.4052

X = 8

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

Z = \frac{8 - 12.6}{2.5}

Z = -1.84

Z = -1.84 has a pvalue of 0.0329

0.4052 - 0.0329 = 0.3723

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

7 0
2 years ago
A science experiment begins with a bacterial population of 12. After 1 hour, the population is 18. After 2 hours, the population
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So it starts with 12 in the bacterial population. After 1 hour, 6 are added. After another hour passed, 9 are added. 12/1, 18/6, 27/9.


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A circle with radius of \greenD{6\,\text{cm}}6cmstart color #1fab54, 6, start text, c, m, end text, end color #1fab54 sits insid
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Answer: 141 cm^{2}

Step-by-step explanation:

We have two circles:

Cirlce 1, with a radius r=6 cm and area A_{1}:

A_{1}=\pi r^{2}

And Cicle 2, with a radius R=9 cm and area A_{2}:

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Since Circle 1 is inside Circle 2 and assuming the area of the shaded region is the shown in the attached image, its area is:

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