Question

reports Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data Sample Sample Mean Grade Sample Sire (kg/mm2) SD 1:00:02 AISI 1064 m - 120 x 109.2 - 1.1 AISI 1078 128 y = 129.552 - 2.1 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 gade by more than 10 Test appropriate hypotheses using a significance level of 0.01. State the relevant hypotheses Hot 1064 - 1078 - - 10 M: 1064 - 1078 > -10 Mo: 1054-1078 -10 H: 1064 - 1078 < -10 Ho: 1064 - #1078 = -10 H: 1064 - 1078-10 Mo: M1064 - 1078 - -10 H: 1064 - 1078 2-10 O Ho: 41064 - 1078 = -10 H: 1064 - #1078 S-10 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) Z- p-value State the conclusion in the problem context. Fail to reject Ho. The data does not suggest that the true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm? Reject Ho. The data does not suggest that the true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm?

Answer 1

Option B

z = -49.16

P-value = 0.0000

Option C

(-20.71, -19.89)

1	2
109.2	129.5	mean
1.1	2.1	std. dev.
128	128	n
	-20.3000	difference (1 - 2)
	0.2095	standard error of difference
	-10	hypothesized difference
	-49.16	z
	0.00E+00	p-value (one-tailed, lower)
	-20.71	confidence interval 95.% lower
	-19.89	confidence interval 95.% upper
	0.4107	margin of error