# Hypothesis Testing for a Chess Club Claims

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A local chess club claims that the length of time to play a game has a mean of 49 minutes or more. Write sentences describing type I and type II errors for a hypothesis test o this claim.

A Type I error will occur if the actual mean of the length of time to play a game is "pick one to insert in sentence"

(less than, equal to, not equal to, less than or equal to, greater than or greater than or equal to) 49 minutes, but you (REJECT or FAIL) the null hypothesis (Ho u<49 or Ho u>49 or Ho u<_49 or Ho u>_49).

A Type II error will occur if the actual mean of the length of time to play a game is

"pick one to insert in sentence"

(less than, equal to, not equal to, less than or equal to, greater than or greater than or equal to) 49 minutes, but you (FAILED TO REJECT or REJECT) the null hypothesis (Ho u<49 or Ho u>49 or Ho u<_49 or Ho u>_49)

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##### Solution Summary

The solution examines hypothesis testing for a Chess Club Claim.

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A local chess club claims that the length of time to play a game has a mean of 49 minutes or more. Write sentences describing type I and type II errors for a hypothesis test o this claim.

A Type I error will occur if the actual mean of the length of time to play a game is "pick one to insert in sentence"

(less ...

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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