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sukhopar [10]
3 years ago
12

At a high school with over 500 students, a counselor wants to estimate the mean number of hours per week that students at the sc

hool spend in community service activities. The counselor will survey 20 students in the Environmental Club at the school. The mean number of hours for the 20 students will be used to estimate the population mean. Which of the following conditions for inference have not been met?
1. The data are collected using a random sampling method.
2. The sample size is large enough to assume normality of the distribution of sample means.
3. The sample size is less than 10 percent of the population size.
Mathematics
1 answer:
maria [59]3 years ago
7 0

Complete option:

The sample size is less than 10 percent of the population size. A. II onlyB. III onlyC. II and III onlyD. I, II, and III

Answer:

D.) I, II, and III

Step-by-step explanation:

The sample are not well randomly selected as the samples were only selected from a single source, the environmental club in the school.

Similarly only 20 samples were chosen, these 20 samples are not enough to assume normality as the minimum number of samples required to assume normality according to the Central limit theorem is 30 samples or more.

10% of the population size is :

Population size = 5000

0.10 * 5000 = 500 samples

Hence, sample size used is less than 10% of population size.

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Sum of the squares Of two consecutive natural numbers is 313. Find the numbers.
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Answer:

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Set two: -13 and - 12

Step-by-step explanation:

Let the smaller number = x

Let the larger number = x + 1

x^2 + (x + 1)^2 = 313             Remove the brackets on the left.

x^2 + (x^2 + 2x + 1) = 313      

x^2 + x^2 + 2x + 1 = 313      Collect like terms

2x^2 + 2x + 1 = 313              Subtract 313 from both sides

2x^2 + 2x + 1 - 313 = 313 - 313

2x^2 + 2x - 312 = 0              Divide by 2

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There are two sets of factors that work

Set One

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Set Two

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The second set is where you will get your marks. Few people will remember to use the minus answer

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