4. A random number generator is supposed to produce random numbers that are uniformly distributed on the interval from 0 to 1. If this is true, the numbers generated come from a population with μμ = 0.5 and σσ = 0.2887. A command to generate 169 random numbers gives outcomes with mean x⎯⎯⎯x¯ = 0.4364. Assume that the population σσ remains fixed. We want to test H0H0:μ=0.5:μ=0.5 HaHa:μ≠0.5:μ≠0.5 (a) Calculate the value of the zz test statistic. (b) Use Table C: is zz significant at the 40% level (αα = 0.4)? (Answer with "Yes/Y" or "No/N".) (c) Use Table C: is zz significant at the 0.1% level (αα = 0.001)? (Answer with "Yes/Y" or "No/N".) (d) Between which two Normal critical values z∗z∗ in the bottom row of Table C does the absolute value of zz lie? Between what two numbers does the P - value lie? (e) Does the test give good evidence against the null hypothesis? (Answer with "Yes/Y" or "No/N".) (a) (b) (c) (d) zz: between __ and ____ P-value: between ___ and ____
4. A random number generator is supposed to produce random numbers that are uniformly distributed on the interval from 0 to 1. If this is true, the numbers generated come from a population with μμ = 0.5 and σσ = 0.2887. A command to generate 169 random numbers gives outcomes with mean x⎯⎯⎯x¯ = 0.4364. Assume that the population σσ remains fixed. We want to test
HaHa:μ≠0.5:μ≠0.5
(a) Calculate the value of the zz test statistic.
(b) Use Table C: is zz significant at the 40% level (αα = 0.4)? (Answer with "Yes/Y" or "No/N".)
(c) Use Table C: is zz significant at the 0.1% level (αα = 0.001)? (Answer with "Yes/Y" or "No/N".)
(d) Between which two Normal critical values z∗z∗ in the bottom row of Table C does the absolute value of zz lie? Between what two numbers does the P - value lie?
(e) Does the test give good evidence against the null hypothesis? (Answer with "Yes/Y" or "No/N".)
(a)
(b)
(c)
(d) zz: between __ and ____
P-value: between ___ and ____
(e)
Question is complete answer choices are open ended
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
