3 years ago

Part B

Mathematics

2 answers:

jek_recluse [69]3 years ago

6 0

Answer: its c

Step-by-step explanation: Hope this helps!

sesenic [268]3 years ago

3 0

Answer:

its a or b

Step-by-step explanation:

i hope this helps

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The proportion of students at a college who have GPA higher than 3.5 is 19%. a. You take repeated random samples of size 25 from

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Answer:

$\mu_{\hat{p}}=0.19$

$\sigma_{\hat{p}}=0.0785$

Step-by-step explanation:

We know that the mean and the standard error of the sampling distribution of the sample proportions will be :-

$\mu_{\hat{p}}=p$

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

, where p=population proportion and n= sample size.

Given : The proportion of students at a college who have GPA higher than 3.5 is 19%.

i.e. p= 19%=0.19

The for sample size n= 25

The mean and the standard error of the sampling distribution of the sample proportions will be :-

$\mu_{\hat{p}}=0.19$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.19(1-0.19)}{25}}\\\\=\sqrt{0.006156}=0.0784601809837\approx0.0785$

Hence , the mean and the standard error of the sampling distribution of the sample proportions :

$\mu_{\hat{p}}=0.19$

$\sigma_{\hat{p}}=0.0785$

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