A manufacturer claims that the mean lifetime, u, of its light bulbs is 49 months. The standard deviation of these lifetimes is 6 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 48 months, Can we conclude, at the 0.10 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 49 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. H, : (b) Determine the type of test statistic to use. OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (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 49 months? O Yes ONo
A manufacturer claims that the mean lifetime, u, of its light bulbs is 49 months. The standard deviation of these lifetimes is 6 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 48 months, Can we conclude, at the 0.10 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 49 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. H, : (b) Determine the type of test statistic to use. OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (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 49 months? O Yes ONo
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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![**Hypothesis Testing for Light Bulb Lifetimes**
A manufacturer claims that the mean lifetime, \(\mu\), of its light bulbs is 49 months. The standard deviation of these lifetimes is 6 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 48 months. Can we conclude, at the 0.10 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 49 months?
**Instructions:**
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 \(H_0\) and the alternative hypothesis \(H_1\).
- \(H_0: \) [Text box for input]
- \(H_1: \) [Text box for input]
**(b)** Determine the type of test statistic to use.
- [Dropdown menu for selecting the test statistic]
**(c)** Find the value of the test statistic. (Round to three or more decimal places.)
- [Text box for input]
**(d)** Find the p-value. (Round to three or more decimal places.)
- [Text box for input]
**(e)** Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 49 months?
- Yes [Radio button for selection]
- No [Radio button for selection]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d3f2bfb-a5cc-4b06-99e2-b36f9d38db79%2F96970fda-8ddd-461f-bf47-7d4f439b318e%2F45d2bg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing for Light Bulb Lifetimes**
A manufacturer claims that the mean lifetime, \(\mu\), of its light bulbs is 49 months. The standard deviation of these lifetimes is 6 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 48 months. Can we conclude, at the 0.10 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 49 months?
**Instructions:**
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 \(H_0\) and the alternative hypothesis \(H_1\).
- \(H_0: \) [Text box for input]
- \(H_1: \) [Text box for input]
**(b)** Determine the type of test statistic to use.
- [Dropdown menu for selecting the test statistic]
**(c)** Find the value of the test statistic. (Round to three or more decimal places.)
- [Text box for input]
**(d)** Find the p-value. (Round to three or more decimal places.)
- [Text box for input]
**(e)** Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 49 months?
- Yes [Radio button for selection]
- No [Radio button for selection]
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