I need help on how to solve them im doing something wrong and i do not know what step am i doing wrong

15. Let X be a random variable with Normal distribution, mean = 16, sd = 2. Find the value of x such that P(X > x) = 0.05. a) 0.520 b) 12.710 c) 1.645 d) 1.645 e) 19.290

14, Mars Inc. claims that they produce M&Ms with the following distributions:

Brown	30%	Red	20%	Yellow	20%
Orange	10%	Green	10%	Blue	10%

How many M&Ms must be sampled to construct the 99% confidence interval for the proportion of green M&Ms in that bag if we want a margin of error of .13? (note that the z-score was rounded to three decimal places in the calculation) a) 28 b) 36 c) 29 d) 35 e) 37

14. An experimenter flips a coin 100 times and gets 58 heads. Test the claim that the coin is fair against the two-sided claim that it is not fair at the level =.01.

a) H_o: p = .5, H_a: p .5; z = 1.60; Fail to reject H_o at the 1% significance level.

b) H_o: p = .5, H_a: p > .5; z = 1.62; Fail to reject H_o at the 1% significance level. c) H_o: p = .5, H_a: p > .5; z = 1.60; Reject H_o at the 1% significance level.

d) H_o: p = .5, H_a: p .5; z = 1.60; Reject H_o at the 1% significance level.

e) H_o: p = .5, H_a: p .5; z = 1.62; Fail to reject H_o at the 1% significance level.

13. A simple random sample of 36 8th graders at a large suburban middle school indicated that 84% of them are involved with some type of after school activity. Find the 95% confidence interval that estimates the proportion of them that are involved in an after school activity.

a) (0.770, 0.775) b) (0.720, 0.960) c) (0.620, 0.910) d) (0.640, 0.960) e) (0.720, 0.760)

12. Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population.16,19,21,16,17,14,17,20,22,19,20,17

Give the p-value and interpret the results.

a) p = 0.0001; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level.

b) p = 0.0000; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level.

c) p = 0.0000; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level.

d) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level.

e) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level.