Please solve ASAP

• You inherit 5 sums of money.  These sums are N ( 10000 , 100 ).  Find the probability that you inherit amounts of money such that your average is more than 10100.  

• Your friend also inherits 5 amounts of money as in problem number 1.  Your friend says that he inherited more than  96 % of all such people who inherit 5 sums such as in number one.  How much money did your friend inherit on the average from his 5 inheritances? 

• You have a 4 sided die with sides marked A, B, C and D.  You roll the die 100 times.  Find the probablilty that you get A at least  92 % of the time.  

• Your friend also rolls the die from problem three 100 times. He rolled more A’s than 70 % of all people who could roll this die 100 times.  What percentage of the time did he roll and A???

• You teach at a school that has 720 kids.  You want to make a  95% confidence interval for the mean number of days that a kid is absent from your school in a year.  You get the records of 100 kids and find that these kids were absent 5.5 days on the average with a standard deviation of 2.7 days.  Make the confidence interval.  

• In your school, the one from number 5, your sample of 100 kids yields the fact that 70% do not bring lunch from home regularly.  Make a  98 % confidence interval for the percentage of all kids at your school who do not bring lunch from home regularly.  

• You are testing Ho : p = .6  against H1 : p > .6.  You have n = 100,  p hat  c = .64,   and p hat = . 63  ,    ( p hat c is the critical number,  It looks like p with a little upside down v over it with a small c to the right ).  P hat is the percentage of the sample.  It looks like a little p with the upside down v over it)   

Do you reject Ho or not?  Why??

Find alpha.

Find the p value.

Find B if p = . 61.

• You are testing H0 : = 10 against H1 :  < 10.  You have n = 40,  x bar = 9.5,  alpha = .05 and sigma = 3.  Run the test. 

( x bar is the x with the line over it )

• Test to see if H0 : u1 = u2  = u3 = u4  against H1 : not H0  using alpha = .05. 

Cat weights         Marmot weights         Skunk weights    Sloth weights

         12                                 11                                     14                              15

         10                                 9                                       12                               14

         12                                 11                                     13                              16

         11                                  8                                      11                               13

         10                                                                                                               15

10).   A candy company says that it makes 50% brown candies,   30% blue candies, 10% orange candies and 10% green candies.  You buy 240 candies and get 124 brown candies, 84 blue candies, 18 orange candies and 14 green candies.  Use alpha = .05 to run a test to see if the candy company has its percentages right or not.

• After each month of social distancing, I wrote down my weight gain. The results were. ( 1, 4 ) , ( 2, 7 ), ( 3, 11 ) and

( 4, 13 ) where x = the number of the month after I started social distancing and y = weight gained.  

1. Write the equation of the least squares regression line. 

1. What % of my weight gain is correlated to the number of months that I have been staying at home?