Question 1 (1 point) Christmas Shopping The National Retail Federation commissioned a national survey on November 26-28, 2009. Consider the variable amount expected to be spent on Christmas presents as reported in late November. Suppose this population has mean u = $850 and standard deviation o = $250 a. If a random sample of five households is selected, is it valid to use the Central Limit Theorem to describe the sampling distribution of the sample mean? Explain. 59 F O N 8:27 PM 4/13/2022 22 Mostly cloudy Tha Delete F6 F7 F8 F10 F11 F12 Prtser Insert F5 Fg F3 F4U No, It is not valid to use the CLI because we don't know the sampling standard deviation Yes, it is valid to use the CLT because the sample size is large enough No, it is not valid to use the CLT because the sample size is not large enough and we don't know if the population is normally distributed Yes, it is valid to use the CLT because we know the mean and standard deviation Yes, it is valid to use the CLT because we are using a random sample 8:28 PM 4/13/2022 22 59.F Mostly cloudy DELL Delete F11 =12 Prtser Insert F8 F9 F10 F4 F5 F6 F7 F2 F3 O ESC /F1 144 DII MAX_ ' e of 500 households" IS selected, what does the Co]? " ing distribution of the sample mean? Round to " Question 3 (1 point) c. Using a random sample of 500 households, determine the probability that the sample mean falls within $18. 11 of the population mean $850 (in other words, between $850 - $18.11 = $831.89 and $850 + $18.11 = $868.11). Round your answer to 4 decimal places. 8:29 PM 4/13/2022 59 F Mostly cloudy PrtScr Insert Delete F10 F11 F12 F8 F9 FS FO FA X Backspace F2 F3 144 FT ESC X O O 4 @ 4 5 2 3 P UQuestion 4 (1 point) d. Repeat part c for the probability that the sample mean falls within $21. 21 of $850. Round your answer to four decimal places. A Question 5 /1 maint) 8:30 PM 4/13/2022 22 59.F Mostly cloudy DELL Delete F9 F10 F11 F12 PrtScr Insert F3 F4 F5 F6 F7 F8 ESC F1 F2 144 X & BackspaceQuestion 5 (1 point) e. Repeat part c for the probability that the sample mean falls within +$28. 20of $850. Round your answer to four decimal places. A 8:30 PM 4/13/2022 22 59.F Mostly cloudy DELL F11 F12 Prtser Insert Delete F6 F8 F10 F3 F4 F5 F7 Esc F1 /F2 X Backspace A a O 8 4 5 2 B P Y U O W E R T TabQuestion 6 (1 point) f. If the population mean were actually u = $1000, what is the probability that a random sample of 500 households would produce a sample mean within $18. 11 of $1000? Round your answer to four decimal places. A/ 8:31 PM 4/13/2022 22 59.F Mostly cloudy DELL Delete F12 Priscr Insert F10 F11 F8 F5 F6 /F2 /F3 FA ESC VF1 144 Backspace O a 8 4 5 2 3 O P R T Y