swer any ten of the following : (iv) A normal variate with mean 0 and s.d 1 is called, variate. (iv) The truncation error in composite Simpson's one third rule is of order

We measured the flat area of 30 apartments and we have measured the following values in \( m^{2} \) : \( 82.6,57.3,70.4,65,48.4,103.8,73.6,43.5,66.1,93,52.6,70,84.2,55,81.3,61.5,75.1,34.8 \), \( 62.4,116,70.1,63.6,93,59.2,65.9,77.2,52.8,68.7,79.2,87.4 \). a) Create a table of grouped frequency distribution for the number of classes \( k=9 \). b) Construct a histogram of relative frequencies of the flat areas. c) From the specified values estimate the sample mean and the variance. d) From the middle values of the intervals and from their frequencies estimate the sample mean and the variance.

Question 9 A state representative wishes to estimate the mean number of women representatives per state legislature. A random sample of 17 was selected, and from the sample, the point estimate of the mean is 33.4, and the variance is 823.69, find the \( 90 \% \) confidence interval of the mean population. (write the lower limit for the confidence interval). Add your answer Integer, decimal, or E notation allowed

We measured the flat area of 30 apartments and we have measured the following values in \( m^{2} \) : \( 82.6,57.3,70.4,65,48.4,103.8,73.6,43.5,66.1,93,52.6,70,84.2,55,81.3,61.5,75.1,34.8 \), \( 62.4,116,70.1,63.6,93,59.2,65.9,77.2,52.8,68.7,79.2,87.4 \). a) Create a table of grouped frequency distribution for the number of classes \( k=9 \). b) Construct a histogram of relative frequencies of the flat areas. c) From the specified values estimate the sample mean and the variance. d) From the middle values of the intervals and from their frequencies estimate the sample mean and the variance.

Question 9 A state representative wishes to estimate the mean number of women representatives per state legislature. A random sample of 17 was selected, and from the sample, the point estimate of the mean is 33.4, and the variance is 823.69, find the \( 90 \% \) confidence interval of the mean population. (write the lower limit for the confidence interval). Add your answer Integer, decimal, or E notation allowed

Question 10 A state representative wishes to estimate the mean number of women representatives per state legislature. A random sample of 17 was selected, and from the sample, the point estimate of the mean is 33.4, and the variance is 823.69, find the \( 90 \% \) confidence interval of the mean population. (write the upper limit for the confidence interval). Add your answer Integer, decimal, or E notation allowed