I need help with this one please thank you Questions 6 through 10: A researcher knows that the weights of 6-year olds are normallydistributed with a mean of µx = 20.9 kg and a standard deviation of ox= 3.2 kg. Using arandom sample of n = 16 children, describe the sampling distribution of x.What do we know?6.7.8.HxWhat is the mean of the sampling distribution of x ?(use 1 decimal)What is the standard deviation of the sampling distribution of x ?oxMx =uxX =b.=Questions 12 through 17: Apply the Empirical Rule95% of the values fall between (µ ±20) (use 2 decimals)(lower value)Ox =(use 2 decimals)What do we know?and10. A random sample of 16 children has a sample mean of x = 18.3 kg. Given thesampling distribution above, explain whether this result is consistent with the beliefthat the mean weight of 6-year-olds is µ = 20.9 kg.a.Yes; It is consistent with this sampling distribution since it falls at/withinμ ±20Sx =9.n =No; It is not consistent with this sampling distribution since it falls outsideμ ±20xQuestions 11 through 3: Let us assume that we know that the weight of 6-year old children isnormally distributed. A researcher has a random sample of n = 16 6-year old children. Thesample has a mean of x = 18.3 kg and a sample standard deviation of sx = 4.2 kg. Constructthe 95% confidence interval to estimate the population mean. Use 2 decimal places for youranswers.(upper value)n =C-Level = Questions 1 through 5: Sulfur compounds such as dimethyl sulfide (DMS) are sometimespresent in wine. DMS causes "off-odors" in wine, so winemakers want to know the odorthresholds, the lowest concentration of DMS that the human nose can detect. If we measurethe DMS odor thresholds of individual adults, the values follow a normal distribution with amean of µx = 25 micrograms per liter and a standard deviation of ox = 7 micrograms per liter.Consider randomly selected samples of n = 100 adults.What do we know?1.2.3.5.Ox =Hx =What is the mean of the sampling distribution of x ?Mx = μx =(no decimals)What is the standard deviation of the sampling distribution of x ?Questions 3 through 5: Apply the Empirical Rule95% of the values fall between (µ ±20) (use 2 decimals)0x =b.(lower value)(use 2 decimals)and4.n =A random sample of 100 adults has a sample mean of x = 26.42 micrograms perliter. Given the sampling distribution above, explain whether this result isconsistent with the belief that the mean odor threshold is μ = 25 micrograms perliter.a.(upper value)Page 1 of 3Yes; It is consistent with this sampling distribution since it falls at/withinμ ± 20No; It is not consistent with this sampling distribution since it falls outsideμ ±20x

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Questions 6 through 10: A researcher knows that the weights of 6-year olds are normally distributed with a mean of μx = 20.9 kg and a standard deviation of ox= 3.2 kg. Using a random sample of n = 16 children, describe the sampling distribution of x. What do we know? 6. 7. 8. Ox = Hx = What is the mean of the sampling distribution of x ? Hx=Mx = (use 1 decimal) What is the standard deviation of the sampling distribution of x? O b. = Ox= Questions 12 through 17: Apply the Empirical Rule 95% of the values fall between (µ ±20) (use 2 decimals) (lower value) (use 2 decimals) and 9. n= (upper value) 10. A random sample of 16 children has a sample mean of x = 18.3 kg. Given the sampling distribution above, explain whether this result is consistent with the belief that the mean weight of 6-year-olds is μ = 20.9 kg. a. Yes; It is consistent with this sampling distribution since it falls at/within μ ±20 No; It is not consistent with this sampling distribution since it falls outside Ux±20x