Sam and Carmen want to find the mean weight of cats at their local pet adoption center. So they each randomly select cats at the shelter and measure the weights.The results are shown below (in pounds). Use the data to answer the questions.Sam's sample:10, 15, 12, 11, 20Carmen's sample:5, 13, 7, 11(a) What is the sample size for Sam's sample?(b) What is the sample size for Carmen's sample?(c) Suppose you had to choose one sample to estimate the mean.Which sample is more likely to give a good estimate of the mean?Sam's sampleCarmen's sampleWhy?It has the smaller mean.It has the larger mean.It has the smaller sample size.It has the larger sample size.

Diane and Melissa want to find the mean amount of time it takes students in their class to travel to school. So they each randomly select students in their class and ask for the times.The results are shown below (in minutes). Use the data to answer the questions.Diane's sample:7, 5, 20, 12, 16, 6, 8Melissa's sample:13, 8, 12, 20, 7(a) What is the sample size for Diane's sample?(b) What is the sample size for Melissa's sample?(c) Suppose you had to choose one sample to estimate the mean.Which sample is more likely to give a good estimate of the mean?Diane's sampleMelissa's sampleWhy?It has the smaller mean.It has the larger mean.It has the smaller sample size.It has the larger sample size.

Ashley and Deon want to find the mean number of movies students in their class saw last year. So they each randomly select students in their class and ask for the numbers.The results are shown below. Use the data to answer the questions.Ashley's sample:9, 16, 19, 8, 20Deon's sample:7, 8, 17, 11, 16, 12, 10, 9(a) What is the sample size for Ashley's sample?(b) What is the sample size for Deon's sample?(c) Suppose you had to choose one sample to estimate the mean.Which sample is more likely to give a good estimate of the mean?Ashley's sampleDeon's sampleWhy?It has the smaller sample size.It has the larger sample size.It has the smaller mean.It has the larger mean.

In an investigation into the birth weight of rabbits, a group of students plans to determine the mean weight of a sample of 5 randomly selected newborn rabbits. Which of the following statements best describes how increasing the sample size from 5 to 5,000 newborn rabbits is expected to impact the results of the investigation?ResponsesThe mean weight of the 5,000 rabbits is expected to be farther from the true mean of the population of newborn rabbits.Answer A: The mean weight of the 5,000 rabbits is expected to be farther from the true mean of the population of newborn rabbits.AThe mean weight of the 5,000 rabbits is expected to be closer to the true mean of the population of newborn rabbits.Answer B: The mean weight of the 5,000 rabbits is expected to be closer to the true mean of the population of newborn rabbits.BThe mean weight of the 5,000 rabbits is expected to be equal to the true mean of the population of newborn rabbits.Answer C: The mean weight of the 5,000 rabbits is expected to be equal to the true mean of the population of newborn rabbits.CThe mean weight of the 5,000 rabbits is expected to be the same weight as the original sample of 5 newborn rabbits.

A random sample of 12 items is taken and is found to have a meanweight of 50 grams and a standard deviation of 9 gramsWhat is the mean weight of population1. with 95% confidence2. with 99% confidence

Find the necessary sample size.Weights of women in one age group are normally distributed with a standard deviation of 10.43 kg. A researcher wishes to estimate the mean weight of all women in this age group.Find how large a sample must be drawn in order to be 95% confident (use z=2) that the sample mean will not differ from the population mean by more than 1.30 kg.