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2 years ago

Suppose the sample size for this study was n=2 instead of n=70. What would be the shape of the distribution of sample means

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

7 0

Answer :

The shape of the distribution of the sample usually contains the given two points :

1. The sampling distribution is skewed for small sample sizes. Also, the distribution will be non-normal if the sample size is small

2. The shape of the sampling distribution gets more and more normal-like (bell shaped) as the sample size increases

For sample size, n = 2

The sampling distribution will be skewed for this sample size

For sample size, n = 70

The shape of the sampling distribution for sample size of 70 will be more normal as compared to that of sample size of 2

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Step-by-step explanation:

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A train is leaving in 11 minutes and you are one mile from the station. Assuming you can walk at 4mph and run at 8mph, how much

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7 minutes is the time can you afford to walk

Solution:

Given that, train is leaving in 11 minutes and you are one mile from the station

Let "x" represent how much time can you afford to walk

Then, (11 - x) is the time you run

You can walk at 4mph and run at 8mph

Convert to miles per minute

1 hour = 60 minutes

$4\ mph = 4 \times \frac{1}{60} \text{ miles per minute } = \frac{1}{15} \text{ miles per minute }\\\\8\ mph = 8 \times \frac{1}{60}\ \text{ miles per minute } = \frac{2}{15} \text{ miles per minute }$

We know that,

$Distance = speed \times time$

Given that, you are one mile from the station

Therefore,

1 mile = distance walk + distance run

$1 = x \times \frac{1}{15} + (11-x) \times \frac{2}{15}\\\\1 = \frac{1}{15}(x + 2(11-x))\\\\1 = \frac{1}{15}(x + 22 - 2x)\\\\x + 22 - 2x = 15\\\\x = 22 - 15\\\\x = 7$

Thus, 7 minutes is the time can you afford to walk

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