Pages File Edit Insert Format Arrange View Share Window Help Name: Am'e Homework 6 The standard deviation of the sampling distribution is also known as the Standard Error (1 point). Image that a researcher draws 500 samples of 50 people each from a population with a bimodal distribution of opinions, If she were to calculate the mean in each of her 500 samples, she would nd they cluster around with a distribution (2 points). True or False: The standard deviation ofthe sampling distribution of means (also known as the answer to #1) is smaller than the standard deviation of the population (1 point). Explain your answer to question 3. Why is this the case? (Hint: Think about what the sampling distribution is made up of compared to what the population distribution is made up of) (2 points). True or False: The mean of means is equal to the mean of the population (1 point). ux =il Bob is a survey researcher who knows from census data that the mean (1') age of the Memphis emulation is 34.3 with a standard deviation (0) of 1.2 years. He hasjust collected a sample of son Meme ' nsior his latest study and sees that the mean age in his sample is 32.6. A) What is the standard error ofthe mean in the theoretical sampling distribution? (i.e. If Bob kept collecting sample alter sample of Memphis residents, what would be the standard deviation of those sample means). (3 points) Name: Am'e Homework 6 B) The 95% confidence interval spans from what age to what age? (3 point) C) Does Bob's survey generalile to the population of interest, or is there reason for concern? Explain why or why not? (2 points) The data points below represent responses from a mid: of 10 students. Each student was asked to express his or her attitudes toward the Central Limit Theorem on a 7-point scale (1 = \"I nd the CLT extremely boring\" through, 7 = "I find the CLT very exciting\"). Responses: 3,5.2,4,2,1.7,6.6l4 Based on this sample, what is your best estimate of the mean among all students in the population of Interest? (2 poinm) Calculate the standard errorfor this sample. (4 points) The researcher can be 95% condent that the population mean falls within what interval? (Note: I'm looking for the actual numbers here, not the term) (4 points possible). Mon Sep 20 8103 PM Document Printer & Paper Size Any Printer US Letter Page Orientation J 8.50 x 11.00 inches \\/ Header 0.5 in 3 Top \\/ Document Body Document Margins 'i in C 1 in Top Bottom 'l in 1 in Left Right Facing Pages Hyphenation \\/ Ligatules