In making the decision to return to school for an MBA, prospective students desire to know the time it will take to recoup their investment (forgone wages plus tuition and other direct costs). The time it will take to recoup their investment is normally distributed. You are in charge of estimating this time for a brochure advertising an MBA program at UCLA. You randomly sample 20 past UCLA MBA students and find that the sample average is 3.61 years with a standard deviation of 0.63 years. To estimate the mean number of years required to recoup an investment in a UCLA MBA to within 2 months (0.17 years) with 80% confidence, the sample size should be approximately

The value is    

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  20  

   The sample mean is  

    The standard deviation is  

     The margin of error is  

From the question we are told the confidence level is  80% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the sample size to estimate the mean number of years required to recoup an investment in a UCLA MBA to within 2 months is mathematically represented as  

=>  

=>    

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

what are ur choices?