1.Ten genetically engineered cows have a gene that typically increases milk prod

Question

1.Ten genetically engineered cows have a gene that typically increases milk production. The amount of the change is normally distributed with a mean of 2 gallons and a standard deviation of 1 gallon. What is an upper bound on the 99% confidence interval for the mean extra output for all cows with this modified gene? Round your answer to the nearest hundredth (e.g. record 1/3 as 0.33).

2.True or false: When the sample size is 30, the t-distribution with 29 degrees of freedom has thinner tails than the normal distribution.

3.Suppose you want to test the fairness of a coin. When the proportion of heads in a sample of coin flips is 35%, at least how many flips need to be in the sample for us to build confidence intervals using a normal distribution? (Hint: see OpenIntro Statistics reading.)

4.If we take a sample of 400 coin flips, and 225 are heads, what is the lower bound on the 95% confidence interval for the population proportion of heads? Type your answer in percent, e.g. enter 5 for 5%. Round to the nearest tenth (e.g. record 33.33% as 33.3).

5. How does the previous trial affect the next trial in geometric distribution?

Can you help me with these questions and solutions?

Explanation / Answer

1. The upper bound of the 99% confidence interval is 2+(2.58*1) =4.58

2. true

3.n > 5/0.35

implies n, the sample size must be atleast 15

4. the 95% confidence interval for the population proportion of heads is 0.5625 - (1.96*0.0248) = 0.513892

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