College Level Statistics Please Help?

If you could provide ANY help me with ANY of these statistics questions it would be greatly appreciated.





1. According to a poll 53% would vote for Mr. A. If a random sample of 100 people results in 45% who would vote for mr. A, test the claim that the actual percentage is 53% use .10.





2. Mean weight should be 30g = mu we suspect it is actually less than 30g. a sample of h=16 has mean=29.5g standard deviation =4.1. Test, with 0.5, the claim that the mean is less than 30g





3. use the given data to test the claim that mu1 is smaller than mu2 use .01. n1=85 /x1=189.1, s1=38.7, n2 = 75, /x2=203.7, s2=39.2.





4. Given = Cost 9,2,3,4,2,5,9,10


Number 85,52,55,68,67,86,83,73


Find: a) r


b. equation of regression line


c. use b to predict number if cost = 15

College Level Statistics Please Help?
1)H0: p=0.53


H1: p not 0.52


significance level 0.10


Sample proportion x/n = 0.53


Varaince of proportion = p*(1-p)/n


= 0.53(0.47)/100 =0.002491


S.D. of p is 0.0499


Z = (0.53 -0.45) / 0.0499 = -1.6029


|Z| does not exceed 1.64. Do not reject H0. Claim of OK at 10 % level of significance.





2)


H0: mu = 30


HA: mu not = 30


Sample mean 29.5


Standard deviation = 4.1


Standard error of mean = sd / sqrt(n)


SE = 4.1/4


Standard error of mean 1.025


z = (xbar-mu) /se


z = (29.5-30) / 1.025


z = -0.4878


This does not fall below -1.64 for a one-tailed test, so do not reject the hypothesis that mu=30g.





3)


H0: mu1=mu2


H1: mu1 %26lt; mu2


Sample 1 size 85


Sample 2 size 75


Sample 1 mean 189


Sample 2 mean 203.7


Sample 1 S.D. 38.7


Sample 2 S.D. 39.2


Pooled S.D = [(n1-1)s1^2+(n2-1)s2^2]/(n1+n2-2)


Pooled variance s = [(84)(1497.6900)+(74)(1536.64000))] / (158) = 1515.932405


Multiply s by sqrt(1/85+1/75) = 0.158423


Denominator of t = 6.16821943


t = (189 - 203.7) = -14.7 / 6.168219


t =-2.3832


Degree of freedom 158


.


With significance level 0.01, the critical t is -2.345


Computed t falls below the critical value.


Reject H0 and conclude H1.





4)


9 85 81 765


2 52 4 104


3 55 9 165


4 68 16 272


2 67 4 134


5 86 25 430


9 83 81 747


10 73 100 730


b = Σx[i]-xbar)*(y[i]-ybar) / sqrt[Σ(x[i]-xbar)^2 Σ(x[i]-xbar)^2]


regression coefficient is 2.7885


a = ybar - b*xbar


Constant a is 55.7885


number = 2.7885 cost +55.7885


plug cost =15 and predict number