explanation needed

1.

Consider an experiment in which data Y1, Y2, ..., Y, are to be collected and the sample mean Y = i-1 is to be used to estimate the mean of the population. Which of the following statements is FALSE? n O How often the sample mean Y is within one unit of the population mean is affected by the standard deviation of the population. The location of the sampling distribution of the sample mean Y is not affected by the sample size n. The shape of the sampling distribution of the sample mean Y is not affected by the shape of the O population. The variability of the sampling distribution of the sample mean Y is affected by the standard deviation of O the population. The variability of the sampling distribution of the sample mean Y is affected by the sample size n.Pollsters Alex and Bai each took a random sample to access the proportion of people who would support a certain candidate in the next federal election. The results were: Sample size Sample proportion Alex 220 0.6 Bai 70 0.6 Alex and Bai both assumed a Binomial model with unknown parameter 0 for their data. Alex and Bai then each determined a 40% likelihood interval for 0 based on their own data. Which one of the following statements is true? Alex's likelihood interval will be wider that Bai's likelihood interval. The two likelihood intervals are identical. Bai's likelihood interval will be wider that Alex's likelihood interval. There is not enough information given to compare the likelihood intervals.All else being equal, as the value of p the length of a 100p% likelihood interval for O will decreases; decrease increases; decrease increases; stay the same increases; increase decreases; stay the same