7) The mean age of judges in Dallas is greater than 45.9 years. If a hy should y

Question

7) The mean age of judges in Dallas is greater than 45.9 years. If a hy should you interpret a decision that fails to reject the null hypothesis? A) There is sufficient evidence to support the daim > 45 9 B) There i not sufficient evidence to repot the darn > 459 There is not sufficient evidence to support the dam > 459. D) There is sufficient evidence to reject the dam > 459. 8) The mean monthly gasoline bill for one household is greater than $110. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? A) There is not sufficient evidence to support the claim u> $11 7 il0 B) There is sufficient evidence to support the claim u> $110. C) There is not sufficient evidence torepet the dam -S110 ttos . D) There is sufficient evidence to reject the daim p> $110. 9) A local tennis pro-shop strings tennis rackets at the tension (pounds per square indh) requested by 9) the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the to string 20 new rackets at 56 psi. Upon receiving the rackets, the customer measured the tension of each and calculated the following summary statistics: x 52 psi, s 2.7 psi. In order to conduct the test, the customer selected a significance level of -05. Interpret this value. A) The probability of making a Type II error is 0.95. B) The probability of concluding that the true mean is less than 56 psi when in fact it is equal to 56 psi is only 05 C) There is a 5% chance that the sample will be biased. D) The smallest value of a that you can use and still reject Ho is 0.05. 10) 10) The level of significance, a, is the probability of making a B)Type error A) Type I error C) Type II error D) Correct deision II) If we reject the null hypothesis when the null hypothesis is true, then we have made a A) Type II error C) Type I error B) Correct decision D) Type a error ER Writa the wond or phrase that best completes each statement or answers the question.

Explanation / Answer

7)

H0: <= 45.9

H1: > 45.9

If you fail to reject the null, then H1 should be rejected

Which means, H0 has to be taken and it means the mean age is <= 45.9

This concludes that there is no sufficient evidence that > 45.9

8)

H0: <= 110

H1: > 110

Rejecting the null hypothesis means we cannot provde evidence against H1

So, we can conclude that H1 is true and that means there is sufficient evidence that > 110

9)

n=20

x bar=52

s=2.7

H0: >= 56

H1: < 56

Z= (x bar-)/(s/sqrt(n))

= -4/0.60= -6.62

At 5% LoS, we cannot reject H0

So, option (B) holds true

10) and 11)

Type-1 Error: Alpha is the probability of making a Type-1 error (By definition)

Type-1 Error: Rejecting null when it isn't supposed to be calls for a Type-1 Error (By definition)

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