We appreciate your visit to State the null hypothesis H 0 and the alternative hypothesis H 1 for the hypothesis test to verify BIG Corporation s claim that the standard. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Null hypothesis (Hₒ): The standard deviation of electric bulbs manufactured by BIG Corporation is greater than or equal to 122 days.
Alternative hypothesis (H₁): The standard deviation of electric bulbs manufactured by BIG Corporation is less than 122 days.
To conduct the hypothesis test, we need to calculate the test statistic based on the given information. Since we are dealing with the standard deviation, we'll use a chi-square test statistic.
The formula for the chi-square test statistic for testing the population standard deviation when the population mean is known is:
[tex]\[ \chi^2 = \frac{(n-1)s^2}{\sigma^2} \][/tex]
Where:
-n is the sample size
-s is the sample standard deviation
- [tex]\( \sigma \)[/tex] is the hypothesized population standard deviation under the null hypothesis
Given:
- Sample size, n , is not provided.
- Sample standard deviation, s, is not provided.
- Population mean, [tex]\( \mu \)[/tex], is given as 680 days.
- Hypothesized population standard deviation, [tex]\( \sigma \)[/tex], is claimed to be less than 122 days.
Without the sample size and the sample standard deviation, it's not possible to directly calculate the chi-square test statistic. We would need either the sample size and the sample standard deviation or additional information about the distribution of the sample.
However, based on the information provided, we can still set up the null and alternative hypotheses. The null hypothesis (Hₒ) is that the population standard deviation is greater than or equal to 122 days, while the alternative hypothesis (H₁) is that the population standard deviation is less than 122 days.
Therefore, our hypotheses would be:
Null hypothesis (Hₒ): The standard deviation of electric bulbs manufactured by BIG Corporation is greater than or equal to 122 days.
Alternative hypothesis (H₁): The standard deviation of electric bulbs manufactured by BIG Corporation is less than 122 days.
We would then proceed with collecting additional data or obtaining the sample size and sample standard deviation to calculate the test statistic and make a conclusion about the null hypothesis based on the chi-square distribution.
Thanks for taking the time to read State the null hypothesis H 0 and the alternative hypothesis H 1 for the hypothesis test to verify BIG Corporation s claim that the standard. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
