Statistics and Probability Answers

A medical treatment is successful 30% of the time. Suppose that 9 patients try this
treatment.
a. What is the probability that at least 4 patients end with a successful
experience.
b. What is the probability that exactly 3 patients end with a successful
experience.
c. What is the probability that none of the patients end with a successful
experience.
d. What is the probability that at most 5 patients end with a successful
experience.
e. What is the mean number of patients who end with a successful experience.
f. What is the variance of number of patients who end with a successful
experience

Hypothesis Testing

3. Your friend has been betting at an average $25 in Las Vegas for the last 15 games which differs by around $10. You can accuse him of being overly risky when you learned that clients bet only $20 per game. At 95% level of certainty, are you correct?

Hypothesis Testing

2. A social psychologist believes that the usual age for marriage among less progressive nations is lower than that of rich countries like Denmark whose citizens marry around 32 years of age. A quick survey of 20 randomly selected newlyweds in the Philippines (categorized as less progressive nation) shows a marriage mean age of 25 years old with standard deviations 2 years. Is the hypothesis true at 95% level of confidence?

Hypothesis Testing

1. If the normal white blood cell is an average of 9,000 cells per cubic millimeter (cmm), it is significantly different from the white blood count (WBC) of 25 fruitarians in the outskirts of Visayas? Remember that their mean was 10,500 cells/cmm with a standard deviation of 3,000 cells/ cmm. Use 99% level of certainty.

Hypothesis Testing

A medical doctor suspects that the patient is suffering from Cushing‟s Syndrome which is indicated by a cortisol level higher than 100 micrograms per 24 hours (mcg/24h) Thus, he ordered urine cortisol test in six different days which resulted to a mean of 120mcg/24h and a sd of 15mcg/24h. Does the result support the doctor‟s hypothesis at α0.01? Use traditional and p-value method.

Hypothesis Testing

According to the Journal of Counseling Psychology, forbearance is a coping strategy of collectivist society with 150 Chinese respondents scoring an average of 35 with a standard deviation of 7 in a ten item forbearance scale. You want to test if Europeans use the same coping strategy andyou found that they scored an average of 25 in the same forbearance scale in a thesis. Discuss your finding findings at α 0.05 in traditional and p-value method.

Hypothesis Testing

Some people claim that the amount of rainfall this month is very much the same as the great rains of 2010 whose average volume is 450mm with a standard deviation of 100mm. when you checked this month‟s data; you found that the average rainfall from five storms was 180mm. Are the people‟s lay theories correct at α 0.05? Use traditional and p-value method.

Hypothesis Testing

Red Bull claims that their energy drink only contains 100 calories but you believe otherwise. Thus, you sampled 40 cans of Red Bull and learned that the average calorie content is 110 with a standard deviation of 12 calories. Discuss your findings at α 0.05 using p-value method.

A random variable X has the cumulative distribution function given as

 x 2 − 2 x + 2
 1, for x ≥ 2
0, F(x)= 2
for x < 1
, for1≤x<2
Calculate the variance of X.

A recent study shows that , the annual cost of maintaining a building in Accra averages 200 Cedis with a variance of 260 Cedis. If a tax of 30% is introduced on all items associated with the maintenance of building that is, everything made 30% more expensive . Calculate the standard deviation of the annual cost of making a building in Accra.