A random variable is normally distributed, It has a mean of 266 and a standard devation of 26. If you take a sample of sice 11. can you say what the shape of the sampling distribution for the sample inean is why? If the sample sze is 11 , then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30. if the sample size is 11, then you can say the sampling distribution of the samplemean is norm ally distributed sance the variable is normally distributed. if the sample sa is 11, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the simple size is less than 30 For a sample of sze 11, state the mean of the sampie mean and the standard devation of the sample mean. Round to two decimal places if necessary. H5=uh= For an samplet of size: 11. find the probability that the sample mean is more than 259 : P(x+2593)= If you take a sample of siae 36. can you say what the shape of the distribution of the sample mean is 5 wily? If the sample sr ze is 36, then you can t say anything about the sampling d stribution of the samples mealni since the populapon of the random variable is not normally distributed and the sample ipe if of eater than 30If you take a sample of size 36 , can you say what the shape of the distribution of the sample mean is? Why? If the sample size is 36, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30 . If the sample size is 36 , then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30 If the sample size is 36 , then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed. For a sample of size 36, state the mean of the sample mean and the standard devation of the sample mean. Round to two decimal places if necessary. 2=x= For a sample of size 36, find the probability that the sample mean is more than 259.F(x=259)=.