A government bureau publishes annual price figures for new mobile homes. A simple random sample of 36 new mobile homes yielded t
he following prices, in thousands of dollars. Assume that the population standard deviation of all such prices is $7.5 thousand, that is, $7 comma 500. Use the data to obtain a 99.7% confidence interval for the mean price of all new mobile homes.
1 answer:
Answer:
The 99.7% confidence interval for the mean price of all new mobile homes is ($60,672, $65,622).
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>The prices in thousands of dollar are:</em>
<em>66.6, 69.8, 58.4, 57.3, 63.1, 61.8, 56, 72.7, 61.8, </em>
<em>66.9, 72.6, 63.1, 58.7, 65.9, 61.1, 56.1, 49.9, 72.6, </em>
<em>49, 56.4, 72.6, 60.1, 65, 64.8, 56.5, 52, 53.2, </em>
<em>56.4, 75.4, 76.3, 60.5, 74.6, 57, 69.2, 62.7, 77.2.</em>
<em />
We have a sample of n=36 new mobile homes.
The mean of this sample is:
The population standard deviation is σ=7.5 (in thousands of dollars).
The critical value of z for a 99.7% CI is z=2.97.
Then, we can calculate the margin of error as:
Now we can calculate the lower and upper bound of the confidence interval as:
The 99.7% confidence interval for the mean price of all new mobile homes is ($60,672, $65,622).
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Answer:
Follows are the solution to the given question:
Step-by-step explanation:
They can count the days of the year 1 to 365. The random project consists of drawing a sample of n objects from D where elements are n people's birth in a group but instead, D = {1,....365}. And then there's the issue.
This because the list of future birthdays of n people was its test point; therefore m points will be in the sequence so each point contains 365 distinct outcomes. The probability function P for \Omega is that any event is likely to happen in 365 days.
if x is between 1 and 365 as well as the occurrence is just all similarly possible
In point i:
That somebody mentions their birthday throughout the party
Guess I was born on day b. Therefore the consequence of "x is in A" is "b is now in the series of x," which is to say, b = bk for some amount k approximately 1 and n.
In point ii:
Any 2 persons share the same birthday at this party". A result x is in B" means which "two of entries in x are same." This means that perhaps the outcome x is in B if or only if bj = bk is in B of two numbers j, and k of 1, of two. , no, n.
In point iii:
Many three students share the same birthday with both the party. The consequence is x at the level of C only when bj = bk = bl at three (different) indices, j, k, l, 1. , no, n.