Question

1)Suppose that a random sample of 144 graduate-admissions personnel was asked what role scores on standardized tests play in consideration of a candidate for graduate school. Of these sample members, 79 answered "very important." Find a 95% confidence interval for the population proportion of graduate admissions personnel with this view.

2) A manufacturer bonds a plastic coating to a metal surface. A random sample of nine observations on the thickness of this coating is taken from a week's output and the thickness (in millimeters) of these observations are shown below. Assuming normality, find a 90% confidence interval for the population variance.

19.1.

21.7

18.7

20.1

21.5

19.5

19.1

20.2

20.3

please explain step by step and which table u have used and how u get to the result.

Answer #1

Suppose that a random sample of 144 graduate-admissions
personnel was asked what role scores on standardized tests play in
consideration of a candidate for graduate school. Of these sample
members, 79 answered "very important." Find a 95% confidence
interval for the population proportion of graduate admissions
personnel with this view.

The built-in R dataset swiss gives Standardized fertility
measure and socio-economic indicators for each of 47
French-speaking provinces of Switzerland at about 1888. The dataset
is a data frame containing 6 columns (variables). The column
Infant.Mortality represents the average number of live births who
live less than 1 year over a 3-year period. We are interested in
the Infant.Mortality column. We can convert the data in this colun
to an ordinary vector x by making the assignment x <-
swiss$Infant.Mortality....

The built-in R dataset swiss gives Standardized fertility
measure and socio-economic indicators for each of 47
French-speaking provinces of Switzerland at about 1888. The dataset
is a data frame containing 6 columns (variables). The column
Infant.Mortality represents the average number of live births who
live less than 1 year over a 3-year period. We are interested in
the Infant.Mortality column. We can convert the data in this colun
to an ordinary vector x by making the assignment x <-
swiss$Infant.Mortality....

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