12 March 2013; duration: two hours
It is NOT allowed to use a graphical, programmable calculator; only a simple pocket calculator is allowed. Write the answers to the questions on the attached answering form (on pages 7 and 8); only the answers, no derivations. (For this midterm, only the final answers to each individual question count.)
This mid-exam contains 8 pages: 4 pages with information and three exercises, 1 page with a few formulae and 2 pages for filling in your answers (and 1 empty page).
Only hand in the two-sided answering form! Do not forget to fill in: your name,
ANR and study.
Below you may need the following results of the N(0, 1)-distribution, t-distributions,
2 -distributions, and F-distributions: z0.10 = 1.2816; z0.09 = 1.3408; z0.0725 = 1.4574; z0.07 = 1.4758; z0.03 = 1.8808; z0.025 = 1.9600; z0.005 = 2.5758
z0.08 = 1.4051; z0.06 = 1.5548; z0.02 = 2.0537;
z0.0775 = 1.4221; z0.0750 = 1.4395; z0.05 = 1.6449; z0.04 = 1.7507; z0.015 = 2.1701; z0.01 = 2.3263;
= 47 degrees of freedom
= 96 df
124 df
125 df
248 df
249 df
335 df
336 df
t0.1 = 1.2998; t0.1 = 1.2904; t0.1 = 1.2884; t0.1 = 1.2883; t0.1 = 1.2850; t0.1 = 1.2849; t0.1 = 1.2841; t0.1 = 1.2840;
t0.05 = 1.6779; t0.05 = 1.6609; t0.05 = 1.6572; t0.05 = 1.6571; t0.05 = 1.6510; t0.05 = 1.6510; t0.05 = 1.6494; t0.05 = 1.6494;
124 df
02.1
= 104.295;
02.9
t0.025 = 2.0117 t0.025 = 1.9850 t0.025 = 1.9793 t0.025 = 1.9791 t0.025 = 1.9696 t0.025 = 1.9695 t0.025 = 1.9671 t0.025 = 1.9670
= 144.561;
= 99.283;
02.025 = 95.070;
= 150.989;
02.975 = 156.714;
2
0 .1
= 105.213;
2
0 .9
= 145.643;
= 100.178;
= 152.094;
2
0.05
125 df
2
0.05
02.025 = 95.946;
2
0.95
2
0.95
02.975 = 157.839;
124 and 124 df
125 and 125 df
Always take the closest value!
1
Exercise 1
Given that university students can