Can I get help with these please?

Suppose we wish to estimate the mean of a normally distributed population. The mean of this population is unknown, but suppose that (somehow) the population standard deviation is known to be 15.8. We intend to sample from this population and calculate a 95% confidence interval for the population mean. If we want the margin of error of the interval to be no more than 1.1, what is the minimum sample size required? Your Answer: Your AnswerResearchers wish to carry out a test of the null hypothesis that the mean of a certain population is 350 against the alternative hypothesis that it is less than 350. In their situation, they (somehow) happen to know the population standard deviation. They feel comfortable assuming normality for this population, and carry out a Z test. They draw a sample of 28 individuals from this population, and find a Z test statistic of 0.39. What is the p-value of the test? (Give your numeric response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer: Your