Workers at a certain soda drink factory collected data on the volumes(in ounces) of a simple random sample of

15

cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of

0.11

oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between

11.98

oz and

12.54

oz, the range rule of thumb can be used to estimate that the standard deviation should be less than

0.14

oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than

0.14

oz. Use a

0.01

significance level. Complete parts(a) through(d) below.

1. Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0:>0.14

oz

H1:=0.14

oz

B.

H0:0.14

oz

H1:<0.14

oz

C.

H0:=0.14

oz

H1:0.14

oz

D.

H0:=0.14

oz

H1:<0.14

Oz

Part 2

b.Compute the test statistic.

2=

(Round to three decimal places asneeded.)

Part 3

c.Find theP-value.

P-value=

(Round to four decimal places asneeded.)

Part 4

d.State the conclusion.

Reject? Or not reject?H0,

because theP-value is greater than? Or less great than?the level of significance. There is sufficient? Or not sufficient?

evidence to conclude that the population standard deviation of can volumes is less than

0.14

oz.