Question

True and False

a) In a random sample of 100 observations from a normal distribution, the inter-quartile range will contain approximately 68 of the observations. ____

b.) In a one-tailed test where n=20, the value of the Z-test statistic equals -1.81. If α were set at 0.01, this test would be considered significant. ____

c.) If a statistical test is significant at the 1% (alpha = 0.01) level, then it must also be significant at the 10% (alpha = 0.10) level. ___

d.) A correlation coefficient estimated to be close to -.25 , would not be considered to be a very strong linear relationship. ___

e.) If a 95% CI for the population mean age is calculated to be [24yrs, 34yrs]; then this implies that at least 95% of the population will be between 24 and 34 years old. ____

f.)A test of H0 : μ = 0 against H1 : μ < 0 has test statistic t = -1.75, for n=16. This test would be considered statistically significant at α = 0.05. ___

Answer 1

A) False, ( as interquartile range contains 50% of the data so in this case it will contain 50 observation)

B) False , ( as the sample size n<30 z statistic is not significant)

C) False , ( as the the rjection region at 1% doesnot include rjection region at 10% alpha level)

D) True, ( as the correlation coefficient 1 & -1 is considered as a strong linear relation and as tgis value moves towards 0 the linear relationship weakens)

E) False. ( as 95% CI implies that we are 95% sure that our value will lie within the interval it does not implies that atleast 95% of data will lie within the interval)

F) False