If X Is the number of heads in 100 tosses of a coin, then E{X} = 25, 50, 75, 100

Question

If X Is the number of heads in 100 tosses of a coin, then E{X} = 25, 50, 75, 100, none of these In 17., is approximately.36,.66,.86,.96, none of these Test for a balanced die if the counts for n=60 die tosses and outcomes 1,2,3,4,5,6 are 6,8,10,12,8,16 and a=.05. Cros(5) = 1107.) Ho: die is fair, Ha: die is not fair. Given n=25, X = 65, s_2=100, test Ho: p = 60 vs Ha: p * 60 (a =.05). accept Ho, reject Ho In 20., the p-value is approximately.2,.02,.002,.0002, none of these Suppose X = 50 out of n = 100 people polled say they support Grimsby for Sheriff. Let p be the true proportion of who support Grimsby. Test Ho: accept Ho, reject Ho. In 22., the p-value is approximately.223,.0223,.00223,.000223, none of these

Explanation / Answer

17) E(X) = np =100(0.5) = 50

Option b

18) Var(x) = 50(0.5) = 25

STd dev = 5

P(X<=55) = P(Z<=(55-50)/5) = 0.86

19)

As 6.4 < 11.07 accept null hypothesis.

20) Test statistic = 5/(10/5) = 2.5

p value =0.0124

Reject H0

21) Option b

22)

H0: Die is fair Ha: Die is not fair x 1 2 3 4 5 6 Observed 6 8 10 12 8 16 60 Expected 10 10 10 10 10 10 60 chi square 1.6 0.4 0 0.4 0.4 3.6 6.4

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.