1. For a population with mean 287.76 and standard deviation 54.83, what is the value of the mean of the sampling distribution of the sample mean for samples of size 454?

Please provide your answer in decimal form or percentage form, correctly rounded to two decimal places.

5.A researcher wants to estimate the population mean number of pets per household with a 90% confidence interval. He surveyed a random sample of 36 households and found a mean of 1.5 pets and a deviation of 0.9 pets. Please give your answer in the correct section below for each of the lower confidence limit and the upper confidence limit.

Give each answer correctly rounded to two decimal places. Do NOT give units with your answer.

Lower confidence limit: How much it that ?

Upper confidence limit: How much it that?

4. Which set of circumstances is most likely to result in a wide confidence interval?

1. Any size n and a 95% confidence level
2. Large n and a 99% confidence level
3. Small n and a 90% confidence level
4. Small n and a 99% confidence level
5. Large n and a 90% confidence level