A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least

767

hours. A random sample of

22

light bulbs has a mean life of

746

hours. Assume the population is normally distributed and the population standard deviation is

57

hours. At

?=0.08?,

do you have enough evidence to reject the? manufacturer's claim? Complete parts? (a) through? (e).

) Identify the null hypothesis and alternative hypothesis.

A.

H0?:

??746

Ha?:

?>746

?(claim)

B.

H0?:

?=746

Ha?:

??746

?(claim)

C.

H0?:

??767

?(claim)

Ha?:

?

D.

H0?:

?

?(claim)

Ha?:

??746

E.

H0?:

?>767

Ha?:

??767

?(claim)

F.

H0?:

??767?(claim)

Ha?:

?=767

Part 2?(b) Identify the critical? value(s). Use technology.

z0=enter your response here

?(Use a comma to separate answers as needed. Round to two decimal places as? needed.)Part 3Identify the rejection? region(s). Choose the correct answer below.

A.

-404z

RejectH0.

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segments extend from the horizontal axis to the curve at negative 1.4 and 1.4. The area under the curve to the left of negative 1.4 is shaded and the area under the curve to the right of 1.4 are both shaded one color and labeled Reject Upper H 0.The area under the curve between negative 1.4 and 1.4 is shaded another color and labeled Fail to reject Upper H 0.

B.

-404z

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at 1.4. The area under the curve to the right of 1.4 is shaded one color and labeled Reject Upper H 0. The area under the curve to the left of 1.4 is shaded another color and labeled Fail to reject Upper H 0.

C.

-404z

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at negative 1.4. The area under the curve to the left of negative 1.4 is shaded one color and labeled Reject Upper H 0. The area under the curve to the right of negative 1.4 is shaded another color and labeled Fail to reject Upper H 0.

Part 4?(c) Identify the standardized test statistic. Use technology.

z=enter your response here

?(Round to two decimal places as? needed.)Part 5?(d) Decide whether to reject or fail to reject the null? hypothesis, and? (e) interpret the decision in the context of the original claim.

A.

Failtoreject

H0.

There

is

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

B.

Reject

H0.

There

isnot

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

C.

Reject

H0.

There

is

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

D.

Failtoreject

H0.

There

isnot

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

) Identify the null hypothesis and alternative hypothesis.

A.

H0?:

??746

Ha?:

?>746

?(claim)

B.

H0?:

?=746

Ha?:

??746

?(claim)

C.

H0?:

??767

?(claim)

Ha?:

?

D.

H0?:

?

?(claim)

Ha?:

??746

E.

H0?:

?>767

Ha?:

??767

?(claim)

F.

H0?:

??767?(claim)

Ha?:

?=767

Part 2?(b) Identify the critical? value(s). Use technology.

z0=enter your response here

?(Use a comma to separate answers as needed. Round to two decimal places as? needed.)Part 3Identify the rejection? region(s). Choose the correct answer below.

A.

-404z

RejectH0.

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segments extend from the horizontal axis to the curve at negative 1.4 and 1.4. The area under the curve to the left of negative 1.4 is shaded and the area under the curve to the right of 1.4 are both shaded one color and labeled Reject Upper H 0.The area under the curve between negative 1.4 and 1.4 is shaded another color and labeled Fail to reject Upper H 0.

B.

-404z

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at 1.4. The area under the curve to the right of 1.4 is shaded one color and labeled Reject Upper H 0. The area under the curve to the left of 1.4 is shaded another color and labeled Fail to reject Upper H 0.

C.

-404z

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at negative 1.4. The area under the curve to the left of negative 1.4 is shaded one color and labeled Reject Upper H 0. The area under the curve to the right of negative 1.4 is shaded another color and labeled Fail to reject Upper H 0.

Part 4?(c) Identify the standardized test statistic. Use technology.

z=enter your response here

?(Round to two decimal places as? needed.)Part 5?(d) Decide whether to reject or fail to reject the null? hypothesis, and? (e) interpret the decision in the context of the original claim.

A.

Failtoreject

H0.

There

is

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

B.

Reject

H0.

There

isnot

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

C.

Reject

H0.

There

is

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

D.

Failtoreject

H0.

There

isnot

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

?(a) Identify the null hypothesis and alternative hypothesis.

A.

H0?:

??746

Ha?:

?>746

?(claim)

B.

H0?:

?=746

Ha?:

??746

?(claim)

C.

H0?:

??767

?(claim)

Ha?:

?

D.

H0?:

?

?(claim)

Ha?:

??746

E.

H0?:

?>767

Ha?:

??767

?(claim)

F.

H0?:

??767?(claim)

Ha?:

?=767

Part 2?(b) Identify the critical? value(s). Use technology.

z0=enter your response here

?(Use a comma to separate answers as needed. Round to two decimal places as? needed.)Part 3Identify the rejection? region(s). Choose the correct answer below.

A.

-404z

RejectH0.

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segments extend from the horizontal axis to the curve at negative 1.4 and 1.4. The area under the curve to the left of negative 1.4 is shaded and the area under the curve to the right of 1.4 are both shaded one color and labeled Reject Upper H 0.The area under the curve between negative 1.4 and 1.4 is shaded another color and labeled Fail to reject Upper H 0.

B.

-404z

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at 1.4. The area under the curve to the right of 1.4 is shaded one color and labeled Reject Upper H 0. The area under the curve to the left of 1.4 is shaded another color and labeled Fail to reject Upper H 0.

C.

-404z

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at negative 1.4. The area under the curve to the left of negative 1.4 is shaded one color and labeled Reject Upper H 0. The area under the curve to the right of negative 1.4 is shaded another color and labeled Fail to reject Upper H 0.

Part 4?(c) Identify the standardized test statistic. Use technology.

z=enter your response here

?(Round to two decimal places as? needed.)Part 5?(d) Decide whether to reject or fail to reject the null? hypothesis, and? (e) interpret the decision in the context of the original claim.

A.

Failtoreject

H0.

There

is

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

B.

Reject

H0.

There

isnot

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

C.

Reject

H0.

There

is

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

D.

Failtoreject

H0.

There

isnot

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

?(a) Identify the null hypothesis and alternative hypothesis.

A.

H0?:

??746

Ha?:

?>746

?(claim)

B.

H0?:

?=746

Ha?:

??746

?(claim)

C.

H0?:

??767

?(claim)

Ha?:

?

D.

H0?:

?

?(claim)

Ha?:

??746

E.

H0?:

?>767

Ha?:

??767

?(claim)

F.

H0?:

??767?(claim)

Ha?:

?=767

Part 2?(b) Identify the critical? value(s). Use technology.

z0=enter your response here

?(Use a comma to separate answers as needed. Round to two decimal places as? needed.)Part 3Identify the rejection? region(s). Choose the correct answer below.

A.

-404z

RejectH0.

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. Vertical line segments extend from the horizontal axis to the curve at negative 1.4 and 1.4. The area under the curve to the left of negative 1.4 is shaded and the area under the curve to the right of 1.4 are both shaded one color and labeled Reject Upper H 0.The area under the curve between negative 1.4 and 1.4 is shaded another color and labeled Fail to reject Upper H 0.

B.

-404z

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at 1.4. The area under the curve to the right of 1.4 is shaded one color and labeled Reject Upper H 0. The area under the curve to the left of 1.4 is shaded another color and labeled Fail to reject Upper H 0.

C.

-404z

RejectH0.

FailtorejectH0.

A normal curve is over a horizontal z-axis labeled from negative 4 to 4 in increments of 1 and is centered on 0. A vertical line segment extends from the horizontal axis to the curve at negative 1.4. The area under the curve to the left of negative 1.4 is shaded one color and labeled Reject Upper H 0. The area under the curve to the right of negative 1.4 is shaded another color and labeled Fail to reject Upper H 0.

Part 4?(c) Identify the standardized test statistic. Use technology.

z=enter your response here

?(Round to two decimal places as? needed.)Part 5?(d) Decide whether to reject or fail to reject the null? hypothesis, and? (e) interpret the decision in the context of the original claim.

A.

Failtoreject

H0.

There

is

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

B.

Reject

H0.

There

isnot

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

C.

Reject

H0.

There

is

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

D.

Failtoreject

H0.

There

isnot

sufficient evidence to reject the claim that mean bulb life is at least

767

hours.

a) Identify the null hypothesis and alternative hypothesis. DA. Ho: HE746 O B. Ho: H = 746 O C. Ho: 1 2 767 (claim) Ha: H > 746 (claim) Ha: p # 746 (claim) Ha: H 767 OF. Ho: H# 767(claim) Ha: 1 2 746 Ha: us767 (claim) Ha: H = 767(Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejedion reg ion(s). Choose the correct answer below. 0A. OB. 0c. Fail Io reject Ho. Q Fail Io reject Ho. )9 Fail 10 reject Ho. Q Reject Ho. Reject Ho. , (c) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. O A. Fail to reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 767 hours. O B. Reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 767 hours. O C. Reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 767 hours. O D. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 767 hours