Suppose we have a box model representing a die: [1,2,3,4,5,6] with a mean of μ=3.5 and...

Suppose we have a box model representing a die: [1,2,3,4,5,6] with a mean of μ=3.5 and a standard deviation of σ=1.708. If we do 88 rolls of the die what will our expected value and standard error be for our sampling sum, respectively?

Suppose we have the following box representing our population [0, 1, 1, 2, 3, 5] with μ=2.0 and σ=1.79. If we sample or draw from this population 35 times, what is the probability that the sum exceeds 85 is what percent?

Suppose we have the following box representing our population [0, 1, 1, 2, 3, 5] with μ=2.0 and σ=1.79. If we sample or draw from this population 35 times what will the expected value and standard error of the sum be, respectively?

Expert Solution

orchestra answered 1 year ago

11. Suppose we have a box model representing a die: [1,2,3,4,5,6] with a mean of μ=3.5...

11. Suppose we have a box model representing a die: [1,2,3,4,5,6] with a mean of μ=3.5 and a standard deviation of σ=1.708. If we do 88 rolls of the die what is the probability that the sum will be less than 300? Question 11 options: A) 0.3085 B) -0.50 C) 0 D) 0.6915 E) 0.50 3. Suppose we have the following box representing our population [0, 1, 1, 2, 3, 5] with μ=2.0 and σ=1.79. If we sample or draw...

Suppose two fair sided die with sides labeled 1,2,3,4,5,6 are tossed independently. Let X = the...

Suppose two fair sided die with sides labeled 1,2,3,4,5,6 are tossed independently. Let X = the minimum of the value from each die. a. What is the probability mass function(pmf) of X? b. Find the mean E[X] and variance V (X). c. Write the cumulative distribution function (cdf) of X in a tabular form. d. Write F(x) the cdf of X as a step function and give a rough sketch for this function.

Suppose we want to estimate the mean salary μ of all college graduates. We take a...

Suppose we want to estimate the mean salary μ of all college graduates. We take a sample of 25 graduates and the sample average is $39,000 with a sample standard deviation of $10,000. We construct a 95% confidence interval for the true average salary. What is the upper bound of the confidence interval i.e. what is the upper confidence limit? $39,000 $43,128 $41,000 $42.422

X ~ ( Mean, 2.15) ( Suppose we do not have information of Mean of the...

X ~ ( Mean, 2.15) ( Suppose we do not have information of Mean of the population) Question 1----------------------------------------------------------------------------- Use calculator go to math---> PRB-------> random sample 1. * Pick one (only-one) sample size of 5 (As we did in lab 2) ** calculate Mean of this sample and use the S.D. = 2.15/ sqrt(5) *** Calculate EBM **** Find C.I. for mean at 95% C.L. 2. Repeat the same process for n=10 and n = 20 3. Study what...

Suppose we have a die that has face values ranging from 2 to 12. This can...

Suppose we have a die that has face values ranging from 2 to 12. This can be represented as a uniform random variable. (a) Find the probability of rolling a 4. (b) Find the expected value of any roll. (c) Find the standard deviation of the roll.

Suppose we have a random sample of size 50 from a N(μ,σ2) PDF. We wish to...

Suppose we have a random sample of size 50 from a N(μ,σ2) PDF. We wish to test H0: μ=10 versus H1: μ=10. The sample moments are x ̄ = 13.4508 and s2 = 65.8016. (a) Find the critical region C and test the null hypothesis at the 5% level. What is your decision? (b) What is the p-value for your decision? (c) What is a 95% confidence interval for μ?

We wish to estimate μ , the mean mass (in kg) of the Sandhill Crane. We...

We wish to estimate μ , the mean mass (in kg) of the Sandhill Crane. We take a random sample of 20 Sandhill Cranes and measure their masses. For this sample, we find an average mass of 4.53 kg and a standard deviation of 0.8 kg. Assuming the masses are normally distributed. Find the upper limits of 98% confidence interval for μ . Select the closest to your answer. options: 4.70 5.20 4.90 4.80 5.10 5.00

Suppose that we are to conduct the following hypothesis test: H0:μ =1030 H1:μ>1030 Suppose that you...

Suppose that we are to conduct the following hypothesis test: H0:μ =1030 H1:μ>1030 Suppose that you also know that σ=170, n=90, x¯=1058.9, and take α=0.01. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer...

Say we have the following hypotheses H0: μ <50 HA: μ > 50 We know that...

Say we have the following hypotheses H0: μ <50 HA: μ > 50 We know that the population standard deviation is 8. If we collect a sample of 64 observations and want α = 0.05, calculate whether or not we reject the null for the following sample means: a.x̅=52.5 b.x̅=51 c.x̅=51.8

Suppose you have a three-sided die, the die is loaded so that the probability of 1...

Suppose you have a three-sided die, the die is loaded so that the probability of 1 or 2 coming out is the same and equal to one 4 while the third side has a probability of 1 two . If it is launched twice the die is X the random variable that returns the sum of the obtained results, write the table for the distribution function of probability p for the random variable X.

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