Hello I am currently taking Statistics and need your help figuring these questions for my homework. It is due in 10 hours.

G Avending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.07 ounce. You can allow the cup to overll 3% of the time. What amount should you set as the mean amount of coffee to be dispensed? Click to view page 1 of the table. Click to view page 2 of the table. :I ounces (Round to two decimal places as needed.) Avending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.07 ounce. You can allow the cup to overll 3% of the time. What amount should you set as the mean amount of coffee to be dispensed? Click to view page 1 of the table. Click to view page 2 of the table. |:| ounces (Round to two decimal places as needed.) The times per week a student uses a lab computer are normally distributed, with a mean of 6.4 hours and a standard deviation of 1.2 hours. A student is randomly selected. Find the following probabilities. (a) Find the probability that the student uses a lab computer less than 4 hours per week. (b) Find the probability that the student uses a lab computer between 7 and 8 hours per week. (c) Find the probability that the student uses a lab computer more than 9 hours per week. (a) The probability that a student uses a lab computer less than 4 hours per week is El. (Round to three decimal places as needed.) (b) The probability that a student uses a lab computer between 7 and 8 hours per week is |:. (Round to three decimal places as needed.) (c) The probability that a student uses a lab computer more than 9 hours per week is El. (Round to three decimal places as needed.) Assume the random variable x is normally distributed with mean p. = 85 and standard deviation 0': 5. Find the indicated probability. P(x 36) P(x>36)= D Determine whether the graph to the right can represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation. Could the graph represent a variable with a normal distribution? Explain your reasoning. Select the correct choice below and, if necessary, ll in the answer boxes within your choice. Find the area of the indicated region under the standard normal curve. Click here to view page 1 of the standard normal table. Click here to view [Ege 2 of the standard normal table. The area between 2 = 0 and z = 1.6 under the standard normal curve is (Round to four decimal places as needed.) 1.6 The amounts of time employees at a large corporation work each day are normally distributed, with a mean of 7.6 hours and a standard deviation of 0.37 hour. Random samples of size 25 and 37 are drawn from the population and the mean of each sample is determined. What happens to the mean and the standard deviation of the distribution of sample means as the size of the sample increases? If the sample size is n = 25, nd the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is . (Type an integer or a decimal.) The standard deviation of the distribution of sample means is |:. (Round to two decimal places as needed.) If the sample size is n = 37, nd the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is E. (Type an integer or a decimal.) The standard deviation of the distribution of sample means is E. (Type an integer or decimal rounded to the nearest hundredth as needed.) What happens to the mean and the standard deviation of the distribution of sample means as the size of the sample increases? Choose the correct answer below. Find the indicated z-score shown in the graph to the right. Gk Click to view [age 1 of the table. Click to view [age 2 of the table. Area: Q 0.1894 D) The z-score is (Round to two decimal places as needed.) Find the indicated z-score shown in the graph to the right. Click to view [Ege 1 of the table. Click to view {ge 2 of the table. The zscore is D. (Round to two decimal places as needed.) Area = 0.3 45 A population has a mean p = 74 and a standard deviation 6 = 24. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 36. pi = D (Simplify your answer.) 5)} = D (Simplify your answer.) Find the indicated zscores shown in the graph. ,9 Click to View [age 1 of the table. Click to View [age 2 of the table. ,0 [4' 0.0222 0.0222 2:? 0 2:. l'he z-scores are {Use a comma to separate answers as needed. Round to two decimal places as needed.)