When engineers design products, it is important to consider the weights of people so that airplanes or elevators aren't overloaded. Based on data from the National Health Survey, we can assume the weight of adult males in the US has a mean weight of 197 pounds and standard deviation of 32 pounds. We randomly select 50 adult males. What is the probability that the average weight of these 50 adult males is over 189 pounds?

Give your answer to 4 decimal places. For help on how to input a numeric answer, please see "Instructions for inputting a numeric response."

___________

A real estate agent would like to know if the number of bedrooms in a house can be used to predict the selling price of the house. More specifically, she wants to know whether a larger number of bedrooms leads to a higher selling price. Records for 25 houses that recently sold in the area were selected at random, and data on the number of bedrooms (x) and the selling price (y) (in $000s) for each house were used to fit the model E(y) = β0 + β1x.

The value of the test statistic for testing β1 is 11.3383 and the corresponding standard error is 1.29384. What is the linear relationship between bedrooms and the selling price?

Development of the world population between 1960 and 2005.

Based on the data, construct a linear regression model M in which the population of the globe is explained over time. For how many people does the model predict the population to grow at an annual rate? Please provide an answer with at least two significant digits.

--> I only need the answer, no explation needed :) Thank you!

a) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)

The area to the left of

z = −0.41 is

b) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)

The area to the right of z = 1.62 is  

c) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)

The area to the right of

z = −1.16 is  .

d) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)

The area between z = 0 and z = 2.88 is  .

e) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)

The area between

z = −2.15 and z = 1.43 is  

f) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)

The area between z = 0.33 and z = 1.84 is  .

g) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.)

The area between z = −2.35 and z = −1.70 is  .

An investigation of the properties of bricks used to line aluminum smelter pots was published in an article. Six different commercial bricks were evaluated. The life span of a smelter pot depends on the porosity of the brick lining​ (the less​ porosity, the longer the life​ span); consequently, the researchers measured the apparent porosity of each brick​ specimen, as well as the mean pore diameter of each brick. See the table.

a. Find the least squares line relating porosity​ (y) to mean pore diameter​ (x).

y=_______+______x​(Round to the nearest thousandth as​ needed.)

b. Interpret the​ y-intercept of the line. Choose the correct answer below.

A.The​ y-intercept is β0. The mean pore diameter is estimated to be β0 when the apparent porosity is zero.

B.There is not enough information to answer this question.

C.The​ y-intercept is β0. This value has no meaning because 0 is not in the observed range of the independent variable mean pore diameter.

D.The​ y-intercept is β0. For each unit increase in mean pore​ diameter, the mean porosity is estimated to increase by β0.

c. Interpret the slope of the line. Choose the correct answer below.

A.The slope of the line is β1.This value has no meaning because 0 is not in the observed range of the independent variable mean pore diameter.

B.The slope of the line is β1. For each unit increase in mean pore​ diameter, the mean porosity is estimated to increase by β1.

C.The slope of the line is β1. The mean pore diameter is estimated to be β1 when the apparent porosity is zero.

D.There is not enough information to answer this question.

d. Predict the apparent percentage of porosity for a brick with a mean pore diameter of 10 micrometers. y=_________% ​(Round to the nearest thousandth as​ needed.)

A real estate agent has 12 properties that she shows. She feels that there is a 40% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling at least 5 properties in one week. Round your answer to four decimal places.

Use calculator or Excel to solve the following problems. DO NOT USE MINITAB (except e). Do NOT use Excel built-in functions or solvers (except t.inv() and f.inv() to obtain critical t and f values).

The tensile strength of Portland cement is being studied. Four different mixing techniques can be used economically. A completely randomized experiment was conducted and the following data were collected:

a) Test the hypothesis that mixing techniques affect the strength of the cement (α = 0.05).

b) Use the Fisher LSD method with α = 0.05 to make comparisons between pairs of means.

c) Repeat part (b) using Tukey’s test. Do you get the same conclusions as part (b)? If not, explain why.

d) Find a 95 percent confidence interval on the mean tensile strength of the Portland cement produced by each of the four mixing techniques. Also find a 95 percent confidence interval on the difference in means for techniques a and c.

e) Construct a normal probability plot of the residuals and a plot of residuals vs. predicted values (using Minitab). What conclusion would you draw from each plot?

f) Suppose Technique d is the current mixing technique. We would like to compare it with the average effect of the new techniques (Techniques a, b and c). Also, we are interested in whether Technique b is significantly different from the average effect of the two other new techniques (Techniques a and c). Construct the required contrasts to test these and apply Scheffe’s method to make conclusions. Set α = 0.05

S.M.A.R.T. test scores are standardized to produce a normal distribution with a mean of 230 and a standard deviation of 35. Find the proportion of the population in each of the following S.M.A.R.T. categories. (6 points)

1. Genius: Score of greater than 300.

2. Superior intelligence: Score between 270 and 290.

3. Average intelligence: Score between 200 and 26

Use the distribution below to test that Peanut M&Ms follow the stated distribution. Discuss your choice of ?. Would a different ? have changed your conclusion?

M&M states the following distribution for Peanut M&Ms: Red = 12%, Orange = 23%, Yellow = 15%, Green = 15%, Blue = 23%, Brown = 12%

Total number of plain M&M's: 665 Total number of red plain M&M's: 76 Total number of plain brown M&M's: 66 Total number of blue plain M&M's: 179 Total number of orange plain M&M's: 140 Total number of green plain M&M's: 119 Total number of yellow plain M&M's: 85

Total number of peanut M&M's: 356 Total number of red peanut M&M's: 22 Total number of peanut brown M&M's: 34 Total number of blue peanut M&M's: 55 Total number of orange peanut M&M's: 62 Total number of green peanut M&M's: 72 Total number of yellow peanut M&M's: 111

You wish to test the following claim a significance level of α = 0.01 . H o : p = 0.44 H a : p ≠ 0.44 You obtain a sample of size n = 660 in which there are 275 successful observations.

What is the test statistic for this sample? test statistic = ? Round to 3 decimal places.

What is the p-value for this sample? P-value = ? Use Technology Round to 4 decimal places.

A school psychologist wishes to determine whether a new anti-smoking film actually reduces the daily consumption of cigarettes by teenage smokers. The mean daily cigarette consumption is calculated for each of eight teenage smokers during the month before and the month after the film presentation, with the following results: MEAN DAILY CIGARETTE CONSUMPTION

SMOKER NUMBER BEFORE FILM (X1) AFTER FILM (X2)

1 28 26

2 29 27

3 31 32

4 44 44

5 35 35

6 20 16

7 50 47

8 25 23

A) Is there a significant difference in the number of cigarettes smoked before the film as compared to the number of cigarettes smoked after the film?

B) What does this NOT necessarily mean?

C) What might be done to improve the design of this experiment?

A measure of goodness of fit for the estimated regression equation is the

Question 5 options:

The mean playing time for a large collection of compact discs is 37 minutes, and the standard deviation is 4 minutes.

(a)

What value (in minutes) is 1 standard deviation above the mean? One standard deviation below the mean? What values are 2 standard deviations away from the mean?

1 standard deviation above the mean  

1 standard deviation below the mean  

2 standard deviations above the mean  

2 standard deviations below the mean

(b)

Assuming that the distribution of times is mound-shaped and approximately symmetric,

approximately what percentage of times are between 29 and 45 minutes? (Hint: See Example 3.19. Use the Empirical Rule.)

Less than 25 min or greater than 49 min?

Less than 25 min?

-------------------------------------------------------------------------

2)

Data on weekday exercise time for 20 females, consistent with summary quantities given in the paper "An Ecological Momentary Assessment of the Physical Activity and Sedentary Behavior Patterns of University Students,"† are shown below.

Calculate the values of the median and interquartile range.

median interquartile range

Interpret the values of the median and interquartile range.

The median exercise time of indicates that half of the exercise times were below, and the remaining half were above. The interquartile range tells us that the middle fifty percent of exercise times had a range of.

Suppose a geyser has a mean time between eruptions of 62 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 14 minutes. Complete parts ​(a) through ​(e) below. ​(a) What is the probability that a randomly selected time interval between eruptions is longer than 68 ​minutes? The probability that a randomly selected time interval is longer than 68 minutes is approximately nothing. ​(Round to four decimal places as​ needed.) ​(b) What is the probability that a random sample of 9 time intervals between eruptions has a mean longer than 68 ​minutes? The probability that the mean of a random sample of 9 time intervals is more than 68 minutes is approximately nothing. ​(Round to four decimal places as​ needed.) ​(c) What is the probability that a random sample of 34 time intervals between eruptions has a mean longer than 68 ​minutes? The probability that the mean of a random sample of 34 time intervals is more than 68 minutes is approximately nothing. ​(Round to four decimal places as​ needed.) ​(d) What effect does increasing the sample size have on the​ probability? Provide an explanation for this result. Fill in the blanks below. If the population mean is less than 68 ​minutes, then the probability that the sample mean of the time between eruptions is greater than 68 minutes ▼ decreases increases because the variability in the sample mean ▼ decreases increases as the sample size ▼ increases. decreases. ​(e) What might you conclude if a random sample of 34 time intervals between eruptions has a mean longer than 68 ​minutes? Select all that apply. A. The population mean is 62​, and this is just a rare sampling. B. The population mean may be less than 62. C. The population mean cannot be 62​, since the probability is so low. D. The population mean may be greater than 62. E. The population mean must be more than 62​, since the probability is so low. F. The population mean is 62​, and this is an example of a typical sampling result. G. The population mean must be less than 62​, since the probability is so low. Click to select your answer(s).

Statistical process control
explain the types of control charts available for analysis, the basis under which their limits are defined and change, the types of analysis that lead to decisions of controlled or not-controlled, and the types of risks associated with different sample sizes and limit settings. In particular, describe what it means statistically to declare that a process is not in control.