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The following sample of nine measurements was randomly selected from a normally distributed population:11,10,8,7,14,9,10,12
Test for significant difference between the sample mean and the population mean 10.Use a=0.05.
Let f(z)=1/z^5 . Use the polar form of the Cauchy Riemann equations to determine where f is differentiable
The specific gravity of a liquid is 0.79 kg/m^3. Calculate
the mass density and the specific weight of the liquid.
All 77 rooms in a motel will be rented each night if the manager charges $40 or less per room. If he charges $(40+z) per room, then 2z rooms will remain vacant. If each rented room costs the manager $7 per day and each unrented room $2 per day in overhead, how much should the manager charge per room to maximise his profit?
The joint PDF of the random variables f(x,y)=8xy,0<x<1, 0<y<x
f(x,y)=8xy,0<x<1, 0<y<x. Find the marginal probability density function of Y.
A certain population has a variance of 2.5, and a sample size of 4 is used to obtain the sampling distribution of the sample mean of this population. What is the variance of the sampling distribution of the sample mean?
Write your answer as a fraction in lowest terms.
Determine the given and compute the test statistic of the problem below using Central Limit Theorem, and construct the rejection region for each.
A certain group of welfare recipients receives relief goods with a mean amount of Php 500 per week. A random sample of 75 recipients is surveyed and found that the mean amount of relief goods they received in a week is Php 600 and a standard deviation of Php50.00 . Test the claim at 1% level of significance is not Php 500 per week and assume that the population is approximately normally distributed.
Determine the given, formulate the null and alternative hypothesis in words and in
symbols, and the appropriate test statistic.
A company produced ethyl alcohol and claimed to have a mean alcohol content of 70%. A random sample of 80 of ethyl alcohol was take as sample to verify this claim. It was found out that the mean alcohol content is 65% with a standard deviation of 2%. Test the claim at 5% level of significance and assume that the population is normally distributed.
Determine the given, formulate the null and alternative hypothesis in words and in
symbols, and the appropriate test statistic.
A seller claimed that her lip tint has a mean organic content of 90%. A rival seller asked 60 users of that lip tint and found that it has a mean organic content of 85% with a standard deviation of 5%. Test the claim at 1% level of significance and assume that the population is approximately normally distributed.
Determine the given and compute the appropriate test statistic of the problem below.
Construct the rejection region of the problem below
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.
