A cubical water tank is 1.2 m long. What is the capacity of the tank in litres ?
1 answer:
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Answer:
The 99% confidence interval would be given (11.448;14.152).
Step-by-step explanation:
1) Important concepts and notation
A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"
represent the sample deviation
represent the sample mean
n =1003 is the sample size selected
Confidence =99% or 0.99
represent the significance level.
2) Solution to the problem
The confidence interval for the mean would be given by this formula
We can use a z quantile instead of t since the sample size is large enough.
For the 99% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 99% confidence interval would be given (11.448;14.152).
We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.
Answer:
Bess has been keeping track of the storm for 14 hours.
Step-by-step explanation:
The tropical storm has been moving at 15 miles per hour.
Bess recorded that the storm moved 135 miles yesterday and 75 miles today. Total distance covered by storm is
The relationship between distance speed and time is defined as
Therefore, Bess has been keeping track of the storm for 14 hours.