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3 years ago

8

Write a function rule for the table.

1 answer:

-Dominant- [34]3 years ago

4 0

Solution:

we are given with a data table and we have been asked to find the function rule.

If we closely observe the table then we find that table is following the below function rule

$c = 16d + 18$

Check for $d=1, c=16*1+18=34$

Check for $d=2, c=16*2+18=50$

Check for $d=3, c=16*3+18=66$

Check for $d=4, c=16*4+18=82$

Hence the correct option is c = 16d + 18

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(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean $\mu_{\hat p} = p = 0.39$

the standard deviation $\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }$

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As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion that is less than 30% also decreases.

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