Suppose certain coins have weights that are normally distributed with a mean of 5.629 g and a standard deviation of 0.056 g. A vending machine is configured to accept those coins with weights between 5.559 g and 5.699 g.

b. If 280 different coins are inserted into the vending​ machine, what is the probability that the mean falls between the limits of 5.559 g and 5.699 ​g?

The probability is approximately ? ​(Round to four decimal places as​ needed.)

drag each concept to is corresponding definition converse obverse contrapositive

Suppose the mpg rating of cars is normally distributed. Mean = 43 SD = 2

1. P(at least 40 mpg)
2. P(between 30 and 45)
3. The manufacturer wants a rating that improves 90% of existing cars. What is the minimum mpg that will achieve this goal?

The monthly absolute estimate of global (land and ocean combined) temperature indexes (degrees C ) in 2000 and 2001 are: 2000: 12.28, 12.63, 13.22, 14.21, 15.13, 15.82, 16.05, 16.02, 15.29, 14.29, 13.16, 12.47

2001: 22.44, 12.55, 13.35, 14.22, 15.28, 15.99, 16.23, 16.17, 15.44, 14.52, 13.52, 12.61

a) Graph the data and fit a regression line to predict 2001 temperatures from those in 2000. Is there a significant regression at ∝ = 0.05? What is P-value?

b) Estimate the correlation coefficient.

Please solve question without using software

Assume that human body temperatures are normally distributed with a mean of

98.19°F

and a standard deviation of

0.63°F.

a. A hospital uses

100.6°F

as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a​ fever? Does this percentage suggest that a cutoff of

100.6°F

is​ appropriate?

b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature​ be, if we want only​ 5.0% of healthy people to exceed​ it? (Such a result is a false​ positive, meaning that the test result is​ positive, but the subject is not really​ sick.)

a. The percentage of normal and healthy persons considered to have a fever is

nothing​%.

​(Round to two decimal places as​ needed.)

Does this percentage suggest that a cutoff of

100.6°F

is​ appropriate?

A.

​No, because there is a large probability that a normal and healthy person would be considered to have a fever.

B.

​No, because there is a small probability that a normal and healthy person would be considered to have a fever.

C.

​Yes, because there is a large probability that a normal and healthy person would be considered to have a fever.

D.

​Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.

b. The minimum temperature for requiring further medical tests should be

nothingdegrees Upper F°F

if we want only​ 5.0% of healthy people to exceed it.

​(Round to two decimal places as​ needed.)

Fewer young people are driving. In year A, 62.9% of people under 20 years old who were eligible had a driver's license. Twenty years later in year B that percentage had dropped to 46.7%. Suppose these results are based on a random sample of 1,300 people under 20 years old who were eligible to have a driver's license in year A and again in year B.

(a) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answer to four decimal places.)

At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answers to four decimal places.)

(b) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year B? (Round your answer to four decimal places.)

At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year B? (Round your answers to four decimal places.)

(c) Is the margin of error the same in parts (a) and (b)? Why or why not?

The margin of error in part (a) is (smaller/larger) than the margin of error in part (b). This is because the sample proportion of eligible people under 20 years old who had a driver's license in year B is (closer to 0/closer to 0.5/ closer to 1) than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a (smaller/larger) interval estimate in part (b).

The presidential election is coming. Five survey companies (A, B, C, D, and E) are doing survey to forecast whether or not the Republican candidate will win the election. Each company randomly selects a sample size between 1000 and 1500 people. All of these five companies interview people over the phone during Tuesday and Wednesday. The interviewee will be asked if he or she is 18 years old or above and U.S. citizen who are registered to vote. If yes, the interviewee will be further asked: will you vote for the Republican candidate? On Thursday morning, these five companies announce their survey sample and results at the same time on the newspapers. The results show that a% (from A), b% (from B), c% (from C), d% (from D), and e% (from E) will support the Republican candidate. The margin of error is plus/minus 3% for all results. Suppose that c > a > d > e > b. When you see these results from the newspapers, can you exactly identify which result(s) is (are) not reliable and not accurate? That is, can you identify which estimation interval(s) does (do) not include the true population proportion? If you can, explain why you can; if no, explain why you cannot and what information you need to identify. Discuss and explain your reasons. You must provide your statistical analysis and reasons.

a) draw the scatter plot and draw the line of best fit

b) Calculate and interpret the correlation between promotional expenses and sales

C) Calculate the regression equation( calculate the slope and intercept of the regression line

d)Interpret the slop coefficient of regression equation

e)Using the regression equation calculate the sales volume with respect to promotional expense of 4.

f) Obtain the coefficient of determination (how much of the variability of sales is predicted by promotional expenses) and interpret the results

Describe the differences between a CRD and CRBD

: A production system has three production machines. Machine A consists one component with constant failure rate of 0.000512 failures per day. Machine B consists of two components; this machine works if one or more of its components work; each one of these components has constant failure rate of 0.000725 and 0.000618 failures per day respectively. The third production machine consists of two components; the production in this machine stops if any of these two components stop; and one of these two components has a constant failure rate of 0.000408 failures per days. If any one of the system's production machine fails, the whole system will come to a complete halt. If the probability that this production system will fail before 100 days of running time is 10%; calculate the following:

1. Draw the system network, and then find the constant failure rate of the second component of the third machine.

2. Mean time to failure of the system.

The following data is inrespect of distance to office and late attendance

a) Calculate the correlation coefficient between distance to office and late attendance.

b) Develop regression model y=a+bx concidering late attendeance as the dependent variable.

c)estimate the late attendance of an officer whose distance to office is 25km.( non liner regression)

d) draw a sctter diagramme

e) Based on the scatter diagram do you suggest that non linear model would fit better

Suppose at random 32% of school children develop nausea and vomiting following holiday parties and that you conduct a study to examine this phenomenon, with a sample size of n=34. What is the probability that less than 21 children become sick?

About 42.3% of Californians speak a language other than English at home. Using your class as the sample, conduct a hypothesis test to determine if the percent of students at school that speak a language other than English at home is different from 42.3%. 23 out of 34 students in the sample speak a language other than English at home

Prime Financial Inc. is evaluating two capital investment proposals for a drive-up ATM kiosk, each requiring an investment of $100,000 and each with an eight-year life and expected total net cash flows of $200,000. Location 1 is expected to provide equal annual net cash flows of $25,000, and Location 2 is expected to have the following unequal annual net cash flows:

Determine the cash payback period for both location proposals.