How old is a dog when they are 40 in human years?
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Both the clocks are set at 6 A.M.
First clock gains 30 seconds in every hour.
Since, 1 second = <em> </em>minutes
Therefore, 30 seconds = minutes
= 0.5 minutes
That means first clocks gains 0.5 minutes in every hour.
Since, second clock loses 1 minute every hour.
Therefore, difference in both the clocks in every hour = 1 + 0.5
= 1.5 minutes
Difference of 30 minutes will be in the duration = hours
= 20 hours
First clock will be 30 minutes ahead of the second clock in 20 hours.
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Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence to support the claim that the average cost of private universities are decreasing.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if the average cost is still of $50,000, that is:
At the alternative hypothesis, it is tested if the average cost is decreasing, that is:
The test statistic is:
In which:
is the sample mean.
is the value tested at the null hypothesis.
is the standard deviation of the population.
- n is the sample size.
The parameters for this problem are:
Hence:
z = -2.2.
<h3>What is the p-value and the conclusion?</h3>Using a z-distribution calculator, for a left-tailed test, as we are testing if the mean is less than a value, with z = -2.2, the p-value is of 0.0139.
Since the p-value is less than 0.05, there is evidence to support the claim that the average cost of private universities are decreasing.
More can be learned about the z-distribution at brainly.com/question/16313918
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