1. A new medicine has been shown to help 70% of the patients who use it. In an experiment, the medicine was given to 15 patients.
a. Find the mean number of patients helped by the medicine.
b. Find the variance for the number of patients helped by the medicine.
c. Find the standard deviation for the number of patients helped by the medicine.
d. What is the probability that exactly 11 patients were helped by the medicine?
e. What is the probability that at least 11 patients were helped by the medicine?
2. A company sells bags of chips. Each bag is labeled 2 pounds. A Quality Control expert claims that the bags do not weigh 2 pounds. The Quality Control expert buys 30 bags and weighs each one. The average bag in the test group weighs 3 pounds, with a standard deviation of 4 pounds. Use the .02 level of significance. Identify the following:
A) H0 (Null hypothesis) and H1 (Alternative hypothesis).
B) Critical Value.
C) Test Statistic (show calculation)
D) Your conclusion about the null hypothesis
E) Your statement about the claim
3.) (a) Draw a normal distribution clearly showing all parameters such as critical and test z scores as well as areas where the null and alternative hypothesis is true.
(b) Briefly explain what a null and alternative hypothesis is.
(c)True or False. If your test statistic is out of the critical range, then you should reject the null hypothesis, H0.
(d) A company sells bags of chips. Each bag is labeled 2 pounds. A Quality Control expert claims that the bags do not weigh 2 pounds. The Quality Control expert buys 30 bags and weighs each one. The average bag in the test group weighs 3 pounds, with a standard deviation of 4 pounds. Use the .02 level of significance. Identify the following:
(e) H0 (Null hypothesis) and H1 (Alternative hypothesis).
(f) Critical Value.
(g) Find: the test statistic and state your conclusion about the null hypothesis