: In a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i. e. did not switch stores). (Source: Trends in the United States: Consumer Attitudes and the Supermarket, The Research Department, Food Marketing Institute). a) Let p represent the proportion of all women shoppers who remain loyal to their favorite supermarket. Find a point estimate for p.

The point estimate for p is 0.86.

Step-by-step explanation:

We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).

Let p = proportion of all women shoppers who remain loyal to their favorite supermarket

Now, the point estimate for the population proportion (p) is represented by ;

      Point estimate for p =    =  

where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628

            n = sample of women shoppers = 730

So, point estimate for p ()  =    

                                             =    = 0.86

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80