BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 2800 hours. Suppose we have good reason to believe that μ is different from 2800 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2620 hours and that the sample standard deviation of the lifetimes is 650 hours.Based on this information, complete the parts below.(a)What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test?H0:H1:(b)Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? ▼(Choose one) (c)Suppose the true mean lifetime of BIG's light bulbs is 2600 hours. Fill in the blanks to describe a Type II error.A Type II error would be ▼(Choose one) the hypothesis that μ is ▼(Choose one) ▼(Choose one) when, in fact, μ is ▼(Choose one) .

Since we know that Type 1 error is defined as rejecting the null hypothesis H0 when H0 is true Type…

Answered: BIG Corporation advertises that its…

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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BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 2800 hours. Suppose we have good reason to believe that μ is different from 2800 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2620 hours and that the sample standard deviation of the lifetimes is 650 hours.

Based on this information, complete the parts below.

(a)	What are the null hypothesis H0 and the alternative hypothesis H1 that should be used for the test?
H0:
H1:
(b)	Suppose that we decide not to reject the null hypothesis. What sort of error might we be making?
	▼(Choose one)
(c)	Suppose the true mean lifetime of BIG's light bulbs is 2600 hours. Fill in the blanks to describe a Type II error.
A Type II error would be ▼(Choose one) the hypothesis that μ is ▼(Choose one) ▼(Choose one) when, in fact, μ is ▼(Choose one) .