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Answer:
The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.
Step-by-step explanation:
Sample size of 30 or larger, so we can use the normal distribution to find the confidence interval.
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 71492 - 8 = 71484 km.
The upper end of the interval is the sample mean added to M. So it is 71492 + 8 = 71500 km.
The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.