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Hi:u=85 Ha:u=85




The sample mean is 83,the sample size is 39,and the standard deviation is 5. Use a=0.05

A score with a value less than or equal to the mean will have a z-score that is less than or equal to zero. 


given z1 = 2<45 degrees, z2 =3<120 degrees and z3 =4<180 degrees. determine the following and leave your answer in rectangular form.

  1. (z1)2+z2/z2+z3
  2. z1/z2z3


. The hospital record shows that the mean weight of newly born baby is greater than 7 lbs. A researcher takes a sample of 25 newly born babies and found to have a mean weight of 6.97lbs with the standard deviation of 0.77 lbs. Test the claim at 0.05 level of significance.




A rural health unit conducted a survey on the heights of the male aged 18 to 24 years old it was found out that the mean height of male aged 18 to 24 years old was 70 inches test the hypothesis that the mean height of the male aged 18 to 24 years old is not 70 inches if a random sample of 20 male aged 18 to 24 years old had a mean height of 65 inches with a standard deviation of 3 use 1% level of significance

write (2-i)(4-3i)^2/3+2i in the form a+bi where a,b,er.


1) Find the area bounded by the curve y=9-x and the x axis.




a) Horizontal Strip





b) Vertical Strip

Given the two planes x - y + 2z = 0 and 3x + 2y - 6z + 4 = 0. Find a parametric equation for the intersection.


Through careful record keeping, you have the times to burn out of 100 Bright brand light bulbs. The average time to burn out is 200 hours, with a standard deviation of 12 hours. Give a 95% confidence interval for the mean time to burn out of this brand of light bulb.


If the systolic pressure for a certain group of obese people has mean of 132 and a standard deviation of 8, find the probability that a randomly selected person will have the following blood pressure. Assume the variable is normally distributed.



a. Above 130



b. Below 150



c. Between 125 - 158

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