(1 point) You have information to suggest that a certain continuous variable of a population has...
(1 point) You have information to suggest that a certain continuous variable of a population has a mean of ?=10.33 μ = 10.33 and a standard deviation of ?=6.63 σ = 6.63 . You are to randomly pick ?=73 n = 73 individuals from this population and observe the value of the population variable on each . This value is to measured as ?? X i . After the random sample of ?=73 n = 73 has been taken, you...
(1 point) A single population hypothesis test was conducted on a normally distributed numeric variable, where the population standard deviation was not known . The p-value of test statistic was calculated to be 0.04594 and the sample size was 41. Below you can see a sketch of the p-value (shaded in red) Distribution о 0297 -2 2 Please give the appropriate probability expression to describe this p-value. 2 * P? E (Use at least 3 decimals).
(1 point) You are interested in finding out the mean number of customers entering a 24-hour convenience store every 10-minutes. You suspect this can be modeled by the Poisson distribution with a a mean of = 3.59 customers. You are to randomly pick n = 57 10-minute time frames, and observe the number of customers who enter the convenience store in each. After which, you are to average the 57 counts you have. That is, compute the value of X...
A normal population has a mean of 68 and a standard deviation of 6. You select a sample of 52. Compute the probability that the sample mean is (round z score 2 decimals and final answer 4): 1) Less than 67 2) Between 67 and 69. 3) 69 and 70 4) greater and 70
Heed help with c only. (1 point) You are to roll a fair die n = 108 times, each time observing if the topside of the die shows a 6 (success) or not (failure). After observing the n = 108 tosses, you are to count the number of times the topside showed a 6. This count is represented by the random variable X. A. with a mean 18 and a standard deviation 3.87 !! . (a) The distribution of X...
Central limit theorem 9. Suppose that a random variable X has a continuous uniform distribution fx(3) = (1/2,4 <r <6 o elsewhere (a) Find the distribution of the sample mean of a random sample of size n = 40. (b) Calculate the probability that the sample mean is larger than 5.5.
A population of values has a normal distribution with μ=176.9 and σ=81. You intend to draw a random sample of size n=181. Find the probability that a sample of size n=181 is randomly selected with a mean between 178.1 and 178.7. P(178.1 < M < 178.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. A leading magazine (like Barron's) reported at one time...
Discuss a sampling distribution by describing 1. A population, 2. A variable on the individuals in that population, 3. a standard deviation for that variable, and 4. the size of a sample from that population. Compare the 5. center, 6. variability, and 7. shape of the sampling distribution of the mean of that sample with those of the population distribution. What does the sampling distribution tell us about the population?
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of points scored during a basketball game. (b) The amount of rain in City B during April. (a) Is the number of points scored during a basketball game discrete or continuous? A. The random variable is discrete. The possible values are x≥0. B. The random variable is continuous. The possible values are x =0, 1, 2..... C. The random variable is discrete. The...
(1 point) You are to roll a fair die n = 104 times, each time observing the number of dots appearing on the topside of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i = 1,2, ..., 104 (a) Consider the distribution of the random variable Xi. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll...