Answer: The probability that the project will be completed in 33 days or less is equal to<u> </u><u>0.73</u> .
Step-by-step explanation:
We assume that this is a normally distribution.
Given : The critical path length is 30 days .
i.e. Population mean =
Variance :
Then, standard deviation :
Z-score :
The value of z corresponding to 33 =
Now, the p-value =
Hence, the probability that the project will be completed in 33 days or less is equal to 0.73.
There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
<h3>What is a statistical hypothesis?</h3>A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:
The null hypothesis:
The alternative hypothesis:
From the population deviation, the Z test for the true mean can be computed as:
Z = 0.756
Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:
P(z > 0.756)
P = 0.225
Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
Learn more about hypothesis testing here:
brainly.com/question/16251072
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