Question

Four quarters are tossed one-hundred times and the number of tails that come up with each toss are recorded. The following results were obtained: zero tails one tail two tails three tails four tails 10 15 40 20 15 Test the null hypothesis with a 10% significance level that the coins are fair.

Answer #1

I toss 3 fair coins, and then re-toss all the ones that come up
tails. Let X denote the number of coins that come up heads on the
first toss, and let Y denote the number of re-tossed coins that
come up heads on the second toss. (Hence 0 ≤ X ≤ 3 and 0 ≤ Y ≤ 3 −
X.)
(a) Determine the joint pmf of X and Y , and use it to calculate
E(X + Y )....

a biased coin tossed four times P(T)=2/3 x is number
of tails observed
construct the table of probabulity function f(x) and cumulative
distributive function F(x)
and the probability that at least on tail is observed ie
P(X>1)

Toss a fair coin five times and record the results. Use T to
denote tails facing up and H to denote heads facing up.
(a) [5 points] How many different results can we get?
(b) [10 points] What is the probability that there is
only one T in the result? Round answer to 4
decimal .
(c) [10 points] What is the probability that at least
two T's in the result? Round answer to 4 decimal .

1. Suppose you suspect a coin is biased against tails, and that
you decided to conduct a test of hypothesis by tossing the coin n =
15 times.
a. What are the null and the alternative hypotheses?
b. What is the rejection region in terms of X = number of tails
obtained in the 15 tosses that you need to use so that the level ?
of the test is as close as 0.05 (remember your ? needs to be...

1. Various temperature measurements are recorded at different
times for a particular city. The mean of 20ºC is obtained for 40
temperatures on 40 different days. Assuming that σ=1.5ºC, test the
claim that the population mean is 22ºC. Use a 0.05 significance
level. Identify the null hypothesis, alternative hypothesis, test
statistics, P-value and final the conclusion about the original
claim.
please try to make your handwriting clear

Suppose a coin is randomly tossed n = 400 times, resulting in X
= 240 Heads. Answer each of the following; show all work!
(a) Calculate the point estimate, and the corresponding
two-sided 95% confidence interval, for the true probability pi =
P(Heads), based on this sample.
(b) Calculate the two-sided 95% acceptance region for the null
hypothesis H0: pi = 0.5 that the coin is fair.
(c) Calculate the two-sided p-value (without correction term) of
this sample, under the...

A five-sided die is rolled 100 times. Conduct a hypothesis test
to determine if the die is fair. Use a 5% level of
significance.
Observed Rolls: One=10; Two=29; Three=16, Four=15, Five=30
Expected Rolls: All the categories of rolls are the same

You have a coin that you suspect is not fair (i.e., the
probability of tossing a head (PH) is not equal to the probability
of tossing a tail (PT) or stated in another way: PH ≠ 0.5). To
test yoursuspicion, you record the results of 25 tosses of the
coin. The 25 tosses result in 17 heads and 8 tails.
a) Use the results of the 25 tosses in SPSS to construct a 98%
confidence interval around the probability of...

A biased coin (one that is not evenly balanced) is tossed 6 times.
The probability of Heads on any toss is
0.3. Let X denote the number of Heads that come up.
1. Does this experiment meet the requirements to be considered a
Bernoulli Trial? Explain why or why
not.
2. If we call Heads a success, what would be the parameters of the
binomial distribution of X?
(Translation: find the values of n and p)
3. What is the...

Roll a die 10 times. Put a 1 each time
the die is a one and a 0 each time the die comes up any other
number. Count the number of ones you obtained and divide by 10.
a. What number did you get? This is
your estimate of the probability of obtaining a one.
b. Is the number you obtained in part
(a) a parameter or a statistic?
c. Now roll the die 25 times. Put a 1
each...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 20 minutes ago

asked 28 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago