explain why!

Decreasing the sample size, while holding the condence level the same, will do what to the length of your condence interval? A. make it bigger B. make it smaller C. it will stay the same D. can't tell based on the given information. Suppose that we wanted to estimate the true average number of eggs a queen bee lays with 90% condence. The margin of error we are willing to accept is 1. Suppose we also know that s is 10, What sample size should we use? A. 236 B. 237 C. 271 D. 281 Suppose the probability that a baseball player gets a hit in a given at bat is p = 0.3. If he has 400 at bats in a single season (sample of 400 independent at bats), what is the mean and standard error of the sampling distribution p-hat (the sample proportion of hits per at bat)? A. mean = 0.3, standard error = 0.0011 B. mean = 0.7, standard error = 0.0011 C. mean = 0.7, standard error = 0.0229 D. mean = 0.3, standard error = 0.0229 What is the absolute value of t for 89% CI using a sample of 20 values? A. 1.677 B. 1.891 C. 1.598 D. 1.550 Which of the following statements about condence intervals for proportions are true? I. The condence interval formula for proportions is valid if up 2 5 and n(1-p) 2 5. II. Condence intervals with large sample size always contain the true parameter value, whereas condence intervals with small sample size may not. III. 99% CI is narrower than 95% CI. A. I and III only B. II only C. I only D. I, II, and III A radio advertiser wishes to choose a random sample of size 100 from a population of 5, 000 listeners. After observing that 5, 000+50 = 100, he rst selects a subject at random from the rst 50 names in the sampling frame, and then he selects every 50th subject listed after that one. This method of random sampling is called: A. Stratified random sampling. B. Systematic random sampling. C. Cluster random sampling. D. Simple random sampling