A manufacturer claims that the mean lifetime, µ, of its light bulbs is 43 months. The standard deviation of these lifetimes is 6 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 42 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 43 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.) H, : 0 The null hypothesis: The alternative hypothesis: H, :0 O=0 OSO The type of test statistic: (Choose one) O

A manufacturer claims that the mean lifetime, µ, of its light bulbs is 43 months. The standard deviation of these lifetimes is 6 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 42 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 43 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.) H, : 0 The null hypothesis: The alternative hypothesis: H, :0 O=0 OSO The type of test statistic: (Choose one) O

Name: A manufacturer claims that the mean lifetime, $ \mu $, of its light
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Description: A manufacturer claims that the mean lifetime, $ \mu $, of its light bulbs is 43 months. The standard deviation of these lifetimes is 6 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 42 months. Can we

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

Topic Video

Question

A manufacturer claims that the mean lifetime, $ \mu $, of its light bulbs is 43 months. The standard deviation of these lifetimes is 6 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 42 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 43 months?

Perform a two-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your responses as specified in the table. (If necessary, consult a list of formulas.)

| | |
|----------------------------------------|--------------------------------|
| The null hypothesis: | $ H_0: \, $ [ ] |
| The alternative hypothesis: | $ H_1: \, $ [ ] |
| The type of test statistic: | (Choose one) |
| The value of the test statistic: | (Round to at least three decimal places.) [ ] |
| The $ p $-value: | (Round to at least three decimal places.) [ ] |
| | |
| Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 43 months? | [ ] Yes [ ] No |

**Symbols Chart**

- $ \mu $
- $ \sigma $
- $ p $
- $ \bar{x} $
- $ s $
- $ \hat{p} $

**Hypothesis Symbols**

- $ = $
- $ \neq $
- $ < $
- $ \leq $
- $ > $
- $ \geq $

This table is designed to help you test the manufacturer's claim by conducting a hypothesis test.

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