A beam may have an internal crack in it. You are entrusted with the decision of whether to spend $5000 in repairs. You also have available the use of non-destructive testing (NDT) techniques to determine if the crack exists. If there is a crack there is a 70% probability that the beam will fail causing damage to the order of $17000, otherwise the damage is 0. The NDT technique is 99% accurate in determining that a crack exists when there actually is one, and is 80% accurate in determining that no crack exists when there actually is none. How much will you pay for this test if your utility function is X U(x)=1-e 7000 and the NDT is 35% likely to say there is a crack present? Show all calculations in answer submitted.

We are collecting data on the patients that have been vaccinated for the coronavirus, and the initial data shows a 90% success. We want the margin of error to be no more than 3%. We want to be extremely  careful, so we are going to use a 99% confidence. Determine the smallest size of the sample to achieve this level of confidence.  a 560  b 680  c 664  d 600  e 686

Use the study below for Part A, Part B, and Part C. A soft drink company surveys 500 shoppers and finds that 61% of shoppers prefer diet soda to regular soda. Part A: With a confidence level of 90%, what is the margin of error? Show your work and round to the nearest hundredth.Part B: If the sample size would increase to 1,000 respondents while keeping the rest of the variables the same, what would happen to the margin of error?Part C: Support your answer to Part B by finding the margin of error if 1,000 shoppers were surveyed while keeping the rest of the variables the same. Show your

The owner of a small firm has just purchased a personal computer, which she expects will serve her for the next two years The owner has been told that she "must" buy a surge suppressor to provide protection for her new hardware against possible surges or variations in the electrical current, which have the capacity to damage the computer The amount of damage to the computer depends on the strength of the surge. It has been estimated that there is a 1% chance of incurring 350 dollar damage, 4% chance of incurring 200 dollar damage, and 10% chance of incurring 125 dollar damage from a surge within the next two years. An inexpensive suppressor, which would provide protection for only one surge, can be purchased. How much should the owner be willing to pay if she makes decisions on the basis of expected value? Expected value = Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.

Phosphorous is a chemical that is found in many household cleaning products. Unfortunately, phosphorous also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorous reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorous reduction (mg/L) was recorded. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. Things that are labelled i underneath a b c, etc are all part of that part.

A poll found that 59​% of a sample of 1020 teens in a certain large country go online several times a day.​ (Treat this sample as a simple random​ sample.) Complete parts a through e below.   Find the margin of error for this poll if we want 90​% confidence in our estimate of the percent of teens in the country who go online several times a day.   Explain what the margin of error means.   If instead we need to be 95​% confident, will the margin of error be larger or​ smaller? Explain.    Find that margin of error.

Find the confidence level and α for an 80​% confidence interval.

Pregnant women are screened for a birth defect called Down syndrome. Down syndrome babies are mentally and physically challenged. Some mothers choose to abort the fetus when they are certain that their baby will be born with the syndrome. The most common screening is maternal serum screening, a blood test that looks for markers in the blood to indicate whether the birth defect may occur. The false-positive and false-negative rates vary according to the age of the mother.  Mother’s Age    False-Positive Rate    False-Negative RateUnder 30    0.040    0.37630-34    0.082    0.29035-37    0.178    0.269Over 38    0.343    0.029 The probability that a baby has Down syndrome is primarily a function of the mother’s age. The probabilities are listed here. Age    Probability of Down Syndrome25    1/130030    1/90035    1/35040    1/10045    1/2549    1/12 For each of the age 25, 30, 35, 40, 45 and 49, determine the probability of Down syndrome if the maternity serum screening produces a…

A box contains many tickets, with an average value of 50 and an SD of 10. If we draw 150 times with replacement from the box and keep track of the sum of draws, what is the approximate chance that the sum of draws is smaller than 7400? Choose the answer that is closest. Group of answer choices 30% 20% 10% 40%

Phosphorous is a chemical that is found in many household cleaning products. Unfortunately, phosphorous also finds its way into surface water, where it can harm fish, plants, and other wildlife. Two methods of phosphorous reduction are being studied. At a random sample of 7 locations, both methods were used and the total phosphorous reduction (mg/L) was recorded. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. Site 1 2 3 4 5 6 7 Method I: 0.013 0.020 0.015 0.055 0.007 0.002 0.010 Method II: 0.014 0.045 0.017 0.039 0.017 0.001 0.013 Do these data indicate a difference (either way) in the average reduction of phosphorous between the two methods? Use α = 0.05. (Let d = Method I − Method II.) (i) What is the level of significance?   What is the value of the sample test statistic? (Round…