pop 1 | pop 2 | |||
sample mean x = | 105.40 | 124.70 | ||
std deviation σ= | 1.100 | 2.100 | ||
sample size n= | 126 | 126 | ||
std error σx1-x2=√(σ21/n1+σ22/n2) = | 0.211 | |||
test stat z =(x1-x2-Δo)/σx1-x2 = | -44.04 | |||
p value : = | 0.0000 | (from excel:1*normsdist(-44.04) |
b)
Point estimate of difference '=x1-x2 = | -19.300 | |||
for 95 % CI value of z= | 1.960 | from excel:normsinv((1+0.95)/2) | ||
margin of error E=z*std error = | 0.414 | |||
lower bound=(x1-x2)-E = | -19.71 | |||
Upper bound=(x1-x2)+E = | -18.89 | |||
from above 95% confidence interval for population mean =(-19.71 , -18.89) |
Tensile strength tests were carried out on two different grades of wire rod. resulting in the...
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. Grade Sample Size Sample Mean (kg/mm2) Sample SD AISI 1064 m = 126 x = 105.4 s1 = 1.1 AISI 1078 n = 126 y = 124.7 s2 = 2.1 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2? Test the appropriate hypotheses...
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. Sample Size Sample SD Grade Sample Mean (kg/mm2) = 109.4 y = 121.2 AISI 1064 m = 126 $1 = 1.2 AISI 1078 n = 126 S2 = 2.1 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2? Test the appropriate hypotheses using...
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. Sample Mean Sample Size Sample (kg/mm2) Grade SD x = 105.6 S1 1.2 AISI 1064 m 127 y 126.1 n 127 AISI 1078 S2=2.0 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2? Test the appropriate hypotheses using a significance level of 0.01....
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. $1 - 1.2 Sample Sample Mean Sample Grade Size (kg/mm2) SD AISI 1064 m-126 x-106.5 AISI 1078 n-126 y = 127.8 52 - 2.1 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2? Test the appropriate hypotheses using a significance level of 0.01....
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. Sample Size Sample SD Grade Sample Mean (kg/mm2) x = 108.8 y = 129.7 AISI 1064 m = 128 $1 = 1.1 s2 = 2.1 AISI 1078 n = 128 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2? Test the appropriate hypotheses...
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. Grade Sample Size Sample Mean (kg/mm2) Sample SD AISI 1064 m = 127 x = 106.9 s1 = 1.2 AISI 1078 n = 127 y = 126.8 s2 = 2.2 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2? Test the appropriate hypotheses...
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. m = 127 S, = 2.2 Sample Sample Mean Sample Grade Size (kg/mm2) SD AISI 1064 x = 102.9 51 = 1.2 AISI 1078 n = 127 y = 121.9 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2? Test the appropriate hypotheses...
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...
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. GradeSample SizeSample Mean (kg/mm2)Sample SD AISI 1064 m = 127 x = 106.9 s1 = 1.2 AISI 1078 n = 127y = 126.8s2 = 2.2 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm2? Test the appropriate hypotheses using a significance level of 0.01. State the relevant...
Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompenying data Sample Mean Size (kg/mm2 SD Sample Sample Grade AISI 1064 126-05.8 -12 AISI 1078126-125.4 2-2.1 a) Does the data provide compelling evidence to cod ding that true a erage strength for the 1078 grade exceeds that or the 1064 grade o more than 10 1 g mm2 Test the appropriate hypotheses uang ล significance level of 0.01. State the relevant mp theses....