A manufacturer claims that the mean lifetime, u, of its light bulbs is 48 months. The standard deviation of these lifetimes is 5 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 47 months. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 48 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) state the null hypothesis Ho and the alternative hypothesis H,. p H. :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=D OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ロロ O

A manufacturer claims that the mean lifetime, u, of its light bulbs is 48 months. The standard deviation of these lifetimes is 5 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 47 months. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 48 months? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) state the null hypothesis Ho and the alternative hypothesis H,. p H. :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=D OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ロロ O

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Description: A manufacturer claims that the mean lifetime, µ, of its light bulbs is 48 months. The standard deviation of these lifetimes is 5 months. One hundred fifty bulbsare selected at random, and their mean lifetime is found to be 47 months. Can we conclude

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

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Question

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A manufacturer claims that the mean lifetime, µ, of its light bulbs is 48 months. The standard deviation of these lifetimes is 5 months. One hundred fifty bulbs
are selected at random, and their mean lifetime is found to be 47 months. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light
bulbs made by this manufacturer differs from 48 months?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
p
H. :0
H :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we conclude that the mean lifetime of light bulbs made by this
manufacturer differs from 48 months?
OYes ONo

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