Let X subscript 1 comma... comma X subscript 9 denote the Intelligence Quotient IQ) of a randomly selected individuals. Assume t
hat IQs are normally distributed with mean 100 and variance 162. Let S squared be the sample variance. Then, c S squared tilde chi squared (d f ). Find the constant "c" and degrees of freedom "df" of the chi-squared distribution.
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Answer: a) 15, b) 1.
Step-by-step explanation:
A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?
(a) 10% of all adult Americans support the changes
Here,
And ,
So, consider the equality, to find the value of 'n'.
So, there are more adult Americans needed.
(b) 15% of all adult Americans supports the changes
Here,
So, again we get that
So, there are more adult Americans needed.
Hence, a) 15, b) 1.