Question

5. There are 100,000 people living in a certain neighborhood. A y 74 341 per know the mean income in the neighborhood. In fact, it's the researcher doesn't know this (nor does anyone elsel) The researcher would like to test mean in exactly $74,341 per year, but O. Sheoes whether the mean income in the neighborhood is a sample of 1000 randomly selected inhabitants ot computes that the mean income in the compute a 95% confidence interval for the population parameter. She also the mean income it's greater than $60,000. sample is $69,421. She then uses this to con t significance wi d, determines their income, and or the neighborhood is exactly $60,000 and alternative hypothesis that hypot She computes the p-val (a) what is the value of ?, the population mean of i ue for the test and the 95% confidence interval for the parameter ncome? (b) What is the value of , the sample mean of income? (c) Which of the following statements is true? Choose one: bout 95 O Out of every 100 individuals in the neighborhood, the income of a O If 100 researchers conduct their own samples and carry out the same tests, O Out of every O If 100 researchers conduct their own samples and carry out the same tests, will fall in the confidence interval. about 95 of their confidence intervals will contain $74,341. will be greater than S$60,000. 100 individuals in the neighborhood, the income of about 95 about 95 of their confidence intervals will contain $69,421. (d) Suppose that the mean income of people in the poll is S70,421 instead of $69,421. Then the p-value will be: O larger O smaller mean is decreased, but the same sample mean stays the same. Then the p-value will be: O larger O smaller (e) Suppose that the standard deviation of the sampling distribution of the sample

Answer 1

70,42) Value Correspond in& T Value o Smaller so, p-value