Suppose the preliteracy scores of three-year-old students in the United States are normally distributed. Shelia, a preschool teacher, wants to estimate the mean score on preliteracy tests for the population of three-year-olds. She draws a simple random sample of 20 students from her class of three-year-olds and records their preliteracy scores (in points). 81,84,87,91,91,91,92,92,94,95,97,99 ,100,102,106,107,107,111,115,116
1. Calculate the sample mean (x⎯⎯⎯), sample standard deviation (), and standard error (SE) of the students' scores. Round your answers to four decimal places.
2. Determine the -critical value () and margin of error (m) for a 99% confidence interval. Round your answers to three decimal places.
3. What are the lower and upper limits of a 99% confidence interval? Round your answers to three decimal places.
4. Which is the correct interpretation of the confidence interval?
a. Shelia is certain that the true population mean is between 91.537 points and 104.263 points.
b. Shelia is 99% confident that the true population mean is between 92.171 points and 103.629 points.
c. There is a 99% chance that the true population mean is between 92.171 points and 103.629 points.
d. Shelia is 99% confident that the true population mean is between 91.537 points and 104.263 points.
e. There is a 99% chance that the population mean is between 91.537 points and 104.263 points.

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

What is the solution set of the quadratic inequality x2- 5< 0? o {xl-55x55{x- 155x55){xl -55x5 15){x1 - 15 sx5/5)

First to answer all gets a donation question 3(multiple choice worth 1 points) (04.01 lc) which of the following levels is lower than cells in the hierarchy of organization of living things? molecules organs organ systems tissues question 4(multiple choice worth 1 points) (04.01 lc) which of these represents an individual form of life such as an animal, plant, or single-celled life form? organ organism organ system tissue question 5(multiple choice worth 1 points) (04.03 lc) what are the green structures inside plant cells where photosynthesis takes place called? chloroplast mitochondrion nucleus vacuole question 6(multiple choice worth 1 points) (04.03 lc) which of the following best matches a part of a living cell with the function it performs? cytoplasm: fluid which carries the nucleus and other organelles vacuole: fluid which carries the nucleus and other organelles cytoplasm: directs all of the cell's activities vacuole: directs all of the cell's activities question 7(multiple choice worth 1 points) (04.03 mc) read the table below. organelles of plant cells present in both plants and animals present in plants but not animals small in animals but large in plants organelle a organelle b organelle c which statement is most likely correct? organelle a is chloroplast, organelle b is cytoplasm, and organelle c is nucleus. organelle a is mitochondrion, organelle b is cytoplasm, and organelle c is nucleus. organelle a is cell wall, organelle b is chloroplast, and organelle c is mitochondrion. organelle a is mitochondrion, organelle b is chloroplast, and organelle c is vacuole. question 8(multiple choice worth 1 points) (04.03 mc) what will most likely happen in the absence of a nucleus? genetic information will not be transmitted by the cell. energy will not be released during cellular respiration. the cell will not store food, water, nutrients, and waste. the cell will lose its shape and structure.