Evaluate the function
1 answer:
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Answer:
(a) See Explanation
(b) and
(c) The shape is normal
(d)
Step-by-step explanation:
Given
-- mean
--- standard deviation
--- sample size
Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.
The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.
Hence, the probability cannot be calculated.
Solving (b): Sample mean and Sample standard deviation
The sample mean estimates the population mean
So:
The sample standard deviation is calculated as thus:
Solving (c): The shape of the distribution.
We have:
--- The sample size
According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.
<em>Hence, the shape is normal</em>
Solving (d):
Calculate the test statistic (t)
So:
Referencing the z table, we have:
Hence: