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Answer:
0.0094.
Step-by-step explanation:
For the given experiment, let X be the lifetimes of parts manufactured from a certain aluminum alloy.
sample size =73
Sample mean = 784
Sample standard deviation = 120
Let µ represent the mean number of kilocycles to failure for parts of this type.
Null hypothesis, H0 : µ ≤ 750
Alternative hypothesis, H1 : µ > 750.
where,
is sample mean.
is population mean.
s is sample standard deviation.
n is the sample size.
It is a right tailed test because alternative hypothesis is µ > 750. So, P-value is the probability of observing a sample mean greater that 783 or the probability of P(z>2.35).
Therefore the P-value is 0.0094.