Question

The Breaking strengths of cables produced by a certain manufacturer have a mean, H, of 1750 pounds, and a standard deviation of 65 pounds, It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 100 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1752 pounds. Can we support, at the 0.05 level of significance, the claim that the mean breaking strength has increased? (Assume that the standard deviation has not changed.) Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The nul hypothesis: P eBook The alternative hypothesis: P The type of test statistic: (Choose one) The value of the test statistic: (Round to at least three decimal places.) X The p-value: (Round to at least three decimal places.) Can we support the claim that the mean breaking strength has increased? Yes No

Answer 1

Date Page ons) from given output X = 1752 J = 65 To test hypothesis : HO: y = 1750 US Hi: 471750 Test startstic 8 Leal: X-lo 1752 - 1750 65 UTOO T Zeal - 0.3077 | P-value = P(Za Z cal] = P20.05 > 0. 30777 I Pvalue = 0.379155 from z-table) Decision :- Here P-value ya 20.05 He fail to regeef Ho af x=0.05 conclusion e be concrede strength - There is insufficient evidence to reject Ho at d = 0.05 of may not that an its the mean breakin test increased.