In tests of a computer component, t isfund tht the mean time betveen falures is 910 hours. A modfication is made which is supposed to increase reliabity by increasing the time between falres. Tests on a sample of 36 modfied components produce a mean time between falures of 956 hours. Using a 5% level of signficance, perform a hypothess test o determine whether the mean time between falures for the modfe omponents is greater than 910 hous. Asume that the populton standard devaton is 57 hours. Ho : µ = 956 hours Hị : µ >956 hours O Test statistic : z = 4.84 Critical value :z= 1.65 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 956 hours. Ho : µ > 956 hours Hị : µ = 956 hours O Test statistic : z=4.84 Critical value : z = 2.33 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 956 hours. Ho : µ = 910 hours Hị : µ >910 hours Test statistic : z- 4.84 Critical value : z- 1.65 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 910 hours. Ho : µ >956 hours Hị : = 956 hours O Test statistic : z -95.79 Critical value :z- 2.33 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 956 hours.

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In tests of a computer component, it is found that the mean time between falures is 910 hours. A modification is made which is supposed to increase reliability
by increasing the time between falures. Tests on a sample of 36 modified components produce a mean time between failures of 956 hours. Using a 5% level of
signficance, perform a hypothesis tet to determine whether the mean time between failures for the modfied components is greater than 910 hours. Asume
that the population standard deviation is 57 hours.
Ho : u = 956 hours
Hị : µ>956 hours
Test statistic:z= 4.84
Critical value : z = 1.65
Reject the null hypothesis. There is sufficient evidence to support the claim that, for
the modified components, the mean time between failures is greater than 956 hours.
Ho : µ >956 hours
Hị : µ = 956 hours
Test statistic : z = 4.84
Critical value :z = 2.33
Reject the null hypothesis. There is sufficient evidence to support the claim that, for
the modified components, the mean time between failures is greater than 956 hours.
Ho : u = 910 hours
Hị : µ >910 hours
Test statistic : z = 4.84
Critical value : z= 1.65
Reject the null hypothesis. There is sufficient evidence to support the claim that, for
the modified components, the mean time between failures is greater than 910 hours.
Ho : u > 956 hours
H : µ = 956 hours
Test statistic : z = 95.79
Critical value : z = 2.33
Reject the null hypothesis. There is sufficient evidence to support the claim that, for
the modified components, the mean time between failures is greater than 956 hours.
Transcribed Image Text:In tests of a computer component, it is found that the mean time between falures is 910 hours. A modification is made which is supposed to increase reliability by increasing the time between falures. Tests on a sample of 36 modified components produce a mean time between failures of 956 hours. Using a 5% level of signficance, perform a hypothesis tet to determine whether the mean time between failures for the modfied components is greater than 910 hours. Asume that the population standard deviation is 57 hours. Ho : u = 956 hours Hị : µ>956 hours Test statistic:z= 4.84 Critical value : z = 1.65 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 956 hours. Ho : µ >956 hours Hị : µ = 956 hours Test statistic : z = 4.84 Critical value :z = 2.33 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 956 hours. Ho : u = 910 hours Hị : µ >910 hours Test statistic : z = 4.84 Critical value : z= 1.65 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 910 hours. Ho : u > 956 hours H : µ = 956 hours Test statistic : z = 95.79 Critical value : z = 2.33 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 956 hours.
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