Test the given claim using the traditional methods of hypothesis testing .Assume

Question

Test the given claim using the traditional methods of hypothesis testing .Assume that the sample has been randomly selected from a population with abnormal distribution .
In tests of a computer component,it is found that the mean time between failure is 520 hours.A modification is made which is supposed to increase the time between failures .Test on a random sample of 10 modified components resulted in the following times between failures . 518 548 561 523 536 499 538 557 528 563 At the 0.5 significance level,test the claim that for the modified components,the mean time between failures is greater than 520 hours.
A.write the hypothesis B.find the test statistic C.find the p-value fornthis problem D.write a conclusion in context .
Please help Test the given claim using the traditional methods of hypothesis testing .Assume that the sample has been randomly selected from a population with abnormal distribution .
In tests of a computer component,it is found that the mean time between failure is 520 hours.A modification is made which is supposed to increase the time between failures .Test on a random sample of 10 modified components resulted in the following times between failures . 518 548 561 523 536 499 538 557 528 563 At the 0.5 significance level,test the claim that for the modified components,the mean time between failures is greater than 520 hours.
A.write the hypothesis B.find the test statistic C.find the p-value fornthis problem D.write a conclusion in context .
Please help
In tests of a computer component,it is found that the mean time between failure is 520 hours.A modification is made which is supposed to increase the time between failures .Test on a random sample of 10 modified components resulted in the following times between failures . 518 548 561 523 536 499 538 557 528 563 At the 0.5 significance level,test the claim that for the modified components,the mean time between failures is greater than 520 hours.
A.write the hypothesis B.find the test statistic C.find the p-value fornthis problem D.write a conclusion in context .
Please help

Explanation / Answer

A)
Hypothesis
H0: mu = 520
H1: mu > 520

B)
xbar = 534.4
Hypothesised mean, mu = 520
std. dev. = 18.6023
n = 10
SE = std.dev. / sqrt(n) = 5.8826
test statistics, t = ( xbar - mu)/SE = 2.4479

C)
p-value = 0.0072

D)
As p-value is less than significance level of 0.05, we reject the null hypothesis.
This means there is significant evidence to conclude that the modified components, the mean time between failures is greater than 520.

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