1. A researcher would like to conduct a test concerning the average weight of a

Question

1. A researcher would like to conduct a test concerning the average weight of a component part manufactured by the company. The contract the company has specifies that the average weight of the component to be 300 grams. The hypotheses to be tested are as follows:

H0: ? = 300
H1: ? ? 300

A simple random sample of 26 component parts was obtained and the weights were recorded. The sample results in grams were:

2.  A researcher would like to conduct a test concerning the average weight of a component part manufactured by the company. The contract the company has specifies that the average weight of the component to be 300 grams. The hypotheses to be tested are as follows:

H0: ? = 300
H1: ? ? 300

A simple random sample of 26 component parts was obtained and the weights were recorded. The sample results in grams were:

Value of ?

Critical value(s)

Reject H0?

Yes / No

0.10

0.05

0.01

A researcher would like to conduct a test concerning the average weight of a component part manufactured by the company. The contract the company has specifies that the average weight of the component to be 300 grams. The hypotheses to be tested are as follows: H0: ? = 300 H1: ? ? 300 A simple random sample of 26 component parts was obtained and the weights were recorded. The sample results in grams were: s = 12 and x-bar = 294.8 Compute the value of the test statistic for the test of interest. A researcher would like to conduct a test concerning the average weight of a component part manufactured by the company. The contract the company has specifies that the average weight of the component to be 300 grams. The hypotheses to be tested are as follows: H0: ? = 300 H1: ? ? 300 A simple random sample of 26 component parts was obtained and the weights were recorded. The sample results in grams were: s = 12 and x-bar = 294.8 Complete the table below. Based on this table, what is the lowest value of ? at which you can report this test to be significant?

Explanation / Answer

(1) the test statistic is

Z=(xbar-mu)/(s/vn)

=(294.8-300)/(12/sqrt(26))

=-2.21

(2)the lowest value of 0.05
which you can report this test to be significant

Value of ?

Critical value(s)

Reject H0?

Yes / No

0.10

0.05

0.01

Value of ?

Critical value(s)

Reject H0?

Yes / No

0.10

Z(0.05)=-1.645 or 1.645 (from standad normal table)
Yes

0.05

Z(0.025)=-1.96 or 1.96
Yes

0.01

Z(0.005)=-2.58 or 2.58 No

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