Suppose height and weight of people in a certain population are jointly normal with the mean...

Suppose height and weight of people in a certain population are jointly normal with the mean height of 180cm and mean weigh of 80kg. The corresponding standard deviations are 5cm and 6kg, respectively, and the correlation is equal to 0.6. a) What is the percentage of people whose weight exceeds 95kg among those 185cm tall? b) What is the percentage of people whose weight exceeds 95kg among those whose height is 175cm?

Expert Solution

orchestra answered 2 years ago

Suppose the height of individuals in a population follow a normal distribution with a mean (μ)...

Suppose the height of individuals in a population follow a normal distribution with a mean (μ) of 66 inches and a standard deviation (σ) of 4 inches. a) Using the statistical software R, sample n individuals from the distribution described above. For N=10,000 iterations, compute the average height for n=5, n=15, n=50, n=100 individuals and plot a histogram of the sampling distribution of the Z score (?̅−??/√? ) b) Using the statistical software R, sample n individuals from the distribution...

Suppose the weight of a grizzly bear cub follows a Normal distribution with a mean weight...

Suppose the weight of a grizzly bear cub follows a Normal distribution with a mean weight of 650 grams and a standad deviation of 20 grams. i) What is the probability that a newborn grizzly bear cub weighs less than 625 grams? ii) what is the probability that a new born grizzly weighs between 608 and 675 grams? iii) What weight is at the 90th percentile? iv) If we take a random sample of 4 new born grizzly bear cubs...

The weight distribution of parcels sent in a certain manner is normal with mean value 12lb...

The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5lb. a. Find the probability that a randomly selected parcel weighs between 9lb and 17lb b. Find the probability that a randomly selected parcel's weight is within 1.5 standard deviations of the mean value c. Find the 33rd percentile of this weight distribution

Suppose that, in an urban population, 50% of people have no exposure to a certain disease,...

Suppose that, in an urban population, 50% of people have no exposure to a certain disease, 40% are asymptomatic carriers, and 10% have the disease with symptoms. In a sample of 20 people, we are interested in the probability that the sample contains a number of asymptomatic carriers that is exactly thrice the number that have the disease with symptoms. While the final numerical answer is important, the setup of the solution is moreso.

The mean weight of males aged over 30 years in a certain population is 76 KG....

The mean weight of males aged over 30 years in a certain population is 76 KG. Recently there was some tendency among this population to practice exercises to reduce weight. A random sample of size 40 is selected and it is found that sample mean and standard deviation are 74 and 8 respectively. Do the data provide sufficient evidence to conclude that the mean weight for this population has reduced. Use 5% significance level. please can someone help

Suppose a test procedure about the population mean (u) is performed, when the population is normal...

Suppose a test procedure about the population mean (u) is performed, when the population is normal and the sample size n is LARGE, then if the alternative hypothesis is Ha : u < u0, the rejection region for a level (alpha) test is .______________

Suppose it is known that in a certain population the mean systolic blood pressure (SBP) is...

Suppose it is known that in a certain population the mean systolic blood pressure (SBP) is 120 mmHg and the standard deviation is 10 mmHg. In a random sample of size 40 from this population, what is the probability that this sample will have a mean SBP greater than 124 mmHg?

Suppose the mean blood pressure for people in a certain country is 130 mmHg with a...

Suppose the mean blood pressure for people in a certain country is 130 mmHg with a standard deviation of 23 mmHg. Blood pressure is normally distributed. State the random variable. The blood pressure of a person in the country. The mean blood pressure of people in the country. The standard deviation of blood pressures of people in the country. Suppose a sample of size 14 is taken. State the shape of the distribution of the sample mean. The shape of...

Suppose you are trying to estimate the population mean for the number of Denver people that...

Suppose you are trying to estimate the population mean for the number of Denver people that will vote in the next election. You know there are 800,000 voters in Denver. You have sampled 41,000 Denver citizens and have calculated a sample mean of 150,000 likely voters in the next election. You believe the population standard deviation to be 80,000 voters. Please calculate a confidence interval for your sample mean, assuming you wish to be 95% confident.

Suppose that Xi’s are coming from a normal population with a mean μ =10 and known...

Suppose that Xi’s are coming from a normal population with a mean μ =10 and known variance σ=2. Generate 100 samples of n=50 observations coming from the population of interest. Please, construct the 90% confidence interval for each sample and report the number of confidence intervals that include the mean μ value. Compare this number with the expected number of confidence intervals that include the mean μ value. please help me. i colud not solve it

Question