hours. A random sample of
light bulbs has a mean life of
hours. Assume the population is normally distributed and the population standard deviation is
hours. At
do you have enough evidence to reject the manufacturer’s claim? Complete parts (a) through�� (e).
A.
(claim)
B.
C.
(claim)
D.
(claim)
E.
(claim)
F.
(claim)
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 736 hours. A random sample of 21 light bulbs has a mean life of 723 hours. Assume the population is normally distributed and the population standard deviation is 63 hours. At α=0.08, do you have enough evidence to reject the manufacturer’s claim? Complete parts (a) through (e)
(b) Identify the critical value(s). Use technology.
identify the rejection region(s). Choose the correct answer below.
Identify the standardized test statistic. Use technology.
(d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.
hours. A random sample of
light bulbs has a mean life of
hours. Assume the population is normally distributed and the population standard deviation is
hours. At
do you have enough evidence to reject the manufacturer’s claim? Complete parts (a) through(e).
A.
(claim)
B.
C.
(claim)
D.
(claim)
E.
(claim)
F.
(claim)
A.
-404z
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 2.1. The area under the curve to the left of negative 2.1 is shaded one color and labeled Reject Upper H 0. The area under the curve to the right of negative 2.1 is shaded another color and labeled Fail to reject Upper H 0.
B.
-404z
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 2.1 and 2.1. The area under the curve to the left of negative 2.1 is shaded and the area under the curve to the right of 2.1 are both shaded one color and labeled Reject Upper H 0.The area under the curve between negative 2.1 and 2.1 is shaded another color and labeled Fail to reject Upper H 0.
C.
-404z
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 2.1. The area under the curve to the right of 2.1 is shaded one color and labeled Reject Upper H 0. The area under the curve to the left of 2.1 is shaded another color and labeled Fail to reject Upper H 0.
(Round to two decimal places as needed.)
A.
There
sufficient evidence to reject the claim that mean bulb life is at least
hours.
B.
There
sufficient evidence to reject the claim that mean bulb life is at least
hours.
C.
There
sufficient evidence to reject the claim that mean bulb life is at least
hours.
D.
There
sufficient evidence to reject the claim that mean bulb life is at least
hours.
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 766 hours. A random sample of 30 light bulbs has a mean life of 754 hours. Assume the population is normally distributed and the population standard deviation is 61 hours. At α=0.08, do you have enough evidence to reject the manufacturer’s claim? Complete parts (a) through (e).
Identify the critical value(s). Use technology.
Identify the standardized test statistic. Use technology.
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