Help please i am getting confused already need an explanation. I answered them all but I just want to see and compare.

1.) The distribution of weights of United States nickel is approximately normal with a mean of 5 grams and a standard deviation of 0.06 grams.

a) What is the probability that a randomly chosen nickel weighs less than 4.9 grams?

b) What is the probability that the mean weight of 10 nickels is less than 4.97 grams?

c) What is the probability that the mean weight of 25 nickels is more than 5.03 grams?

d) What is the probability that the mean weight of 10 nickels is between 4.97 and 5.03 grams?

2.) Approximately 35% of a population has blood type O+. Suppose four people show up at a hospital and we want to find the probabilities of havingblood type O+ for the following.

a) exactly one

b) more than 2

c) no more than 1

d) none

3.) A study suggest that the 25% of 25 year old have gotten married. You believe that this is incorrect and decide to collect your own sample for a hypothesis test. From a random sample of 25 year old in census data with size 776, you find that 24% of them are married. A friend of yours offers to help you with setting up the hypothesis test and comes up with the following hypotheses. I answered this one as H0 = 0.25 HA is not equal to 0.25

4.) Which of the following p-values provides the most evidence against the null hypothesis?

0.25

0.01

0.05

0.99

5.) The following hypothesis test is run, whereH_o:p = 0.2Ha: p 0.2

p^= 0.25 and n = 60 .Calculate the p-value.Can we reject the null hypothesis at the 1% significance level?Show required work.

Find and answer the following questions.

1. Z-statistic(enter only the answer as 4 decimals)

2. P-value (enter only the answer as 4 decimals)

3. Conclusion (enter Reject Ho or Fail to Reject Ho)

6.) You collect 100 random samples from a population that is slightly right skewed,= 30,= 10.State the distribution of the sample means.