Question

to test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying, thirty two (32) values were obtained for standard wire, and the sample average calculated was equal to 0.136 ohm. in addition, thirty two (32) values were obtained for alloyed wire, and the sample average calculated was equal to 0.083 ohm. the standard deviation resistance for standard wire is known to be 0.004 ohm, whereas the standard deviation resistance for alloyed wire is known to be 0.005. at the level of significance-0.05, does this support the claim?

the z score for this test is z0 = _______

the p value for this test is p = ____________

IS STATEMENT BELOW TRUE or FALSE? __________

based on the p-value calculated above, the decision is to fail to reject H0 at a level of significance = 0.05 and conclude that the resistance of electric wire can’t be reduced by more than 0.05 ohm by alloying.

Answer 1

: Resistance of standard wire

: Resistance of alloyed wire

Claim : to test the claim that the resistance of electric wire can be reduced by more than 0.050 ohm by alloying ;

Null hypothesis : H_o :

Alternate Hypothesis : H_a :

Right tailed test;

Given,

Given
n1 : Sample Size of Standard wire: Number of value obtained from standard wire	32
n2 : Sample Size of alloyed wire : Number of value obtained from alloyed wire	32
: Sample average resistance of standard wire	0.136
: Sample average resistance of alloyed wire	0.083
: Population Standard Deviation of Population 1: the standard deviation resistance for standard wire	0.004
: Population Standard Deviation of Population 1: the standard deviation resistance for alloyed wire	0.005

Level of significance : = 0.005

the z score for this test is z0 = 2.6504

For Right tailed test :

p-value = 0.004

the p value for this test is p = 0.004

As P-Value i.e. is less than Level of significance i.e (P-value:0.004 < 0.05:Level of significance); Reject Null Hypothesis
Base

There is sufficient evidence to conclude that the  resistance of electric wire can be reduced by more than 0.050 ohm by alloying

IS STATEMENT BELOW TRUE or FALSE? False

based on the p-value calculated above, the decision is to fail to reject H0 at a level of significance = 0.05 and conclude that the resistance of electric wire can’t be reduced by more than 0.05 ohm by alloying