Evaluate the following
1 answer:
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Answer: Margin of error = 6.58
Confidence interval = (26.91, 40.08)
Step-by-step explanation:
Since we have given that
Sample size n = 8
Sample mean = 33.5 minutes
Population standard deviation = 9.5 minutes
At 95% confidence interval,
α = 0.05
t = 1.96
So, Margin of error is given by
Confidence interval would be
Lower limit:
Upper limit:
Hence, the interval would be (26.91, 40.08)
But at standard deviation 7.2 minutes, the confidence interval was (27.5, 39.5)
Confidence interval using the standard normal distribution is wider than the confidence interval using t distribution.
Answer:
There seems to be a typo error but still this has solution.
Let the number be = x
A positive real number is 6 less than another. Means the second will be
The sum of the square of the two numbers is 38.
=>
=>
=>
=>
Taking out 2 common;
=>
Solving this quadratic equation, we get;
and
As positive number is needed, we have
or x =
x = 0.162277
And other number is 6.162277.