1 ) A toy company says that 3% or less of the Toys are defective. In order to te

Question

1 ) A toy company says that 3% or less of the Toys are defective. In order to test it ! selected 140 Toys at random I encounter 9 defectives. What is the conclusion of your test with Alpha 0.05? a) Reject the Claim. b) Fail to reject the Null Hypothesis c) Fail to reject the Claim d) Fail Reject HR e) None of the above 2) My trees are 10.5 m or more in average height with 0.1 m of standard deviation says planter Morgan. I collected 49 trees and get an average 10.4. If my confidence is 95% can I reject the Planters claim and call him a liar? a) Reject the Claim b) Fail to reject the null hypothesis c) Fail to reject the research or alternative hypothesis d) Reject the Alternative Hypothesis. c) None A Data set is Obviously Not Normally distributed since it is skewed to the left. What is the probability of a random selected value of the Data set to be on the 3) interval (Min, Q3) a) We do not know because it is not a normal distribution b) 68% c) 0.5 d) 0.75 e) None Who did better a score of 70 in a test wit average 90 and standard deviation 8 or a score of 140 in a test with mean 168 and standard deviation 16 4) a) 70 did better b) c) d) 140 did better Cannot be compared because there are different tests None of the above

Explanation / Answer

1) H0: P = 0.03
H1: P < 0.03

Sample proportion p = 9/140 = 0.0643

Test statstic Z = (0.0643-0.03) / sqrt(0.03*0.97 /140) = 2.3167

Critical value of Z is -1.645

Here Z value > Z crtical value, so we reject H0
Correct answer: Option (C)

2.

95% Confidence interval: 10.372 < µ < 10.428

10.5 is higher than upper confidence limit so we reject H0

correct answer: Option (c)

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