A gallon of paint claims to cover 400 sq ft. To test this, a research lab obtained 30 random gallons of paint and recruited 30 volunteers to each paint as much wall space as they could with a gallon, and the lab techs measured the area covered. They computed a mean of 396 sq ft with a standard deviation of 27 sq ft. They performed a test of hypothesis to determine of the true coverage is less than claimed. They computed a p-value of 0.212. Using an alpha of 0.05, which of the following is the most appropriate conclusion? For the instructor, this was question 15. X Since the p-value is not small, we have insufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is less than 400 sq ft. X Since the p-value is not small, we have sufficient evidence to conclude that the true mean amount of coverage is 400 sq ft. / Since the p-value is not small, we have insufficient evidence to conclude that the true mean amount of coverage is less than 400 sq t. X Since the p-value is small, we have sufficient evidence to conclude that the true proportion of coverage is less than 400 sq ft.

On the planet of Mercury, 4-year-olds average 3.1 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.6 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible.b.  Find the probability that the child spends less than 1.7 hours per day unsupervised. c.  What percent of the children spend over 3.7 hours per day unsupervised. % (Round to 2 decimal places)d.  74% of all children spend at least how many hours per day unsupervised?  hours.

On the planet of Mercury, 4-year-olds average 3.2 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.7 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places if not otherwise specified.c.  What percent of the children spend over 4.6 hours per day unsupervised. % (Round to 2 decimal places) d.  84.85% of all children spend at least how many hours per day unsupervised? hours. (Round to 2 decimal places)

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90​% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.2in. and a standard deviation of1.1in. FindP90. That​ is, find the hip breadth for men that separates the smallest 90​% from the largest 10​%.

On the planet of Mercury, 4-year-olds average 3.2 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.3 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible.a.  What is the distribution of X? X ~ N(,)b.  Find the probability that the child spends less than 1.9 hours per day unsupervised. c.  What percent of the children spend over 5.2 hours per day unsupervised. % (Round to 2 decimal places)d.  88% of all children spend at least how many hours per day unsupervised?  hours.

A gallon of paint claims to cover 400 sq ft. This feels too high. To test this, a research lab obtained 30 random gallons of paint and recruited 30 volunteers to each paint as much wall space as they could with a gallon, and the lab techs measured the area covered. They computed a mean of 396 sq ft with a standard deviation of 27 sq ft. They performed a test of hypothesis and computed a p-value of 0.212. What is the appropriate conclusion?

On the planet of Mercury, 4-year-olds average 3.1 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.6 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible.a.  What is the distribution of X? X ~ N(,) b.  Find the probability that the child spends less than 1.7 hours per day unsupervised. c.  What percent of the children spend over 2.3 hours per day unsupervised. % (Round to 2 decimal places) d.  67% of all children spend at least how many hours per day unsupervised?

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.2 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 5.3 pounds/square inch. Assume the standard deviation is known to be 0.7. A level of significance of 0.01 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.

A machine that paints traffic stripes on roads is mounted on a truck and set to a width of 4 inches. Road crews adjust the mount to ensure the width is correct. A road inspector checks the width of 45 random stripes to see if the machine has slipped out of adjustment. The mean diameter for this sample is x = 3.89 inches with a standard deviation of s = 0.5 inches. Does this indicate that the machine has slipped out of adjustment and the average width of stripes is no longer μ = 4 inches? Use a 5% level of significance. Conduct a t test to examine whether the mean width of stripes is different from 4 inches. (a) Calculate the test statistic. (Round your answer to two decimal places.) t = (b) Calculate the P-value. (Use SALT. Round your answer to four decimal places.) (c) Based on a = 0.05, what is the correct conclusion for the hypothesis test? We We would reject the null hypothesis. This means on the basis of the evidence, you can conclude that the mean width of traffic stripes is…

Healthy females have a mean red blood cell count of 4.8 million cells per microliter of whole blood with a standard deviation of 0.3 million cells per microliter and a mean white blood cell count of 7250 cells per microliter of whole blood with a standard deviation of 1375 cells per microliter. A female patient is given a blood test. Her red blood cell count (RBC) was found to be 4.3 million cells per microliter while her white blood cell count (WBC) was found to be 6100 cells per microliter. (a) Relatively speaking, does this patient have a lower red blood cell count or white blood cell count? (b) Classify as to the type of data and determine the level of measurement for the particular data item : blood cell type (red or white).