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An environmental scientist wanted to test if the mean concentration of carbon trioxide in blue water exceeds the safe level of 22 blops per cubic centimeter of water. She collected 64 samples of blue water, and obtained a sample mean of 26.935 blops and a sample standard deviation of 14 blops. At significance level 0.05, can it be concluded that the true mean concentration exceeds 22 blops? A and B are independent events
General
2 months ago
A 2013 study by pediatricians investigates whether it is better to give children the diphtheria, tetanus and pertussis (DTaP) vaccine in the thigh or the arm. The pediatricians collected the data from two different random samples. The first random sample was collected from children who were given the vaccine in the thigh. The second random sample was collected from children who were given the vaccine in the arm. Pediatricians recorded whether the children had a severe reaction or not. No severe reaction Severe reaction Thigh Observed Expected 4758 4750.9 30 37.1 Arm Observed Expected 8840 8853.1 76 68.9 Reference: Jackson, L.A., Peterson, D., Nelson, J.C., et al. (13 co-authors). 2013. Vaccination site and risk of local reactions in children one through six years of age. Pediatrics 131: 283-289. Pediatricians conducted a chi-square test of independence. The chi-square test statistic for this data is 2.0609 with a P-value of 0.1511. What can the pediatricians conclude?
General
2 months ago
Solve each problem 1)x-27=-(27-x)2)6y-8=2(3y-4)Thank you in advance
General
2 months ago
Does the following equation determine y to be a function of x? y square=x+3
General
2 months ago
The yearly production of a particular 7 foot plant is 42 pounds of fruits. A 12 foot plant produces 78 pounds. Let h represent the height of this particular plant and p the number of pounds of fruits produced. Use the information to answer the s shown below. ?a) List the ordered pairs? (h,p). What is the ordered pair for the first? plant?
General
2 months ago
P(x)-x15x-48x + 450, x è 3 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit. O A. 5 hundred thousand B. 3 hundred thousand O C. 8 hundred thousand 0 D. 10 hundred thousand
General
2 months ago
A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents, 12% chose chocolate pie, and the margin of error was given as plus or minus5 percentage points. What values do ModifyingAbove p with caret, ModifyingAbove q with caret, n, E, and p represent? If the confidence level is 99%, what is the value of alpha?
General
2 months ago
A test has multiple choice questions with 5 choices for each answer, only one answer is correct for each question. Suppose a student guesses the answer to each question. Assuming the guesses are independent, find the probability that the student will not guess correctly on any one question.
General
2 months ago
On an exam, the mean score is 78 points, with a standard deviation of 6 points. Assuming normal distribution of the scores, approximately what percentage of students received more than 85?A.12% B.17% C.8% D.9% E.None of the above
General
2 months ago
Suppose a1=12−12,a2=23−13,a3=34−14,a4=45−15,a5=56−16. a) Find an explicit formula for an: . b) Determine whether the sequence is convergent or divergent: . (Enter "convergent" or "divergent" as appropriate.)
General
2 months ago
Kayla's school is selling tickets to a play. On the first day of ticket sales, the school sold 5 senior citizen tickets and 3 child tickets for a total of $69. The school took in $73 on the second day by selling 1 senior citizen ticket and 8 child tickets. Find the price of a senior citizen ticket and the price of a child ticket
General
2 months ago
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall that a Perry score of 1 indicates the lowest level of intellectual development, and a Perry score of 5 indicates the highest level.) The average Perry score for the 21 students was 3.27 and the standard deviation was .40. Apply the confidence interval method of this section to estimate the true mean Perry score of all undergraduate engineering students with 99% confidence. Interpret the results.
General
2 months ago
Assume that the carrying capacity for the US population is 800 million. Use it and the fact that the population was 282 million in 2000 to formulate a logistic model for the US population. (Let t = 0 correspond to the year 2000. Use k for your constant.) (a) P (t) = millions (b) Determine the value of k in your model by using the fact that the population in 2010 was 309 million. k = (c) Use your model to predict the US population in the years 2200 and 2400. (Round your answers to the nearest integer.) year 2200 millionyear 2400 million (d) Use your model to predict the year in which the US population will exceed 500 million. (Round your answer down to the nearest year.)
General
2 months ago
State the conclusion based on the results of the test. According to the report, the mean monthly cell phone bill was $49.42 three years ago. A researcher suspects that the mean mon null hypothesis is rejected Choose the correct answer belowA. There is sufficient evidence to conclude that the mean monthly cell phone bill is less than its level three years ago of $49. B. There is not sufficient evidence to conclude that the mean monthly cell phone bill is less than its level three years ago。 C. There is sufficient evidence to conclude that the mean monthly cell phone bill is different from its level three years ago of
General
2 months ago
Use f(x) = 2 x and f-'(x) = 2x to solve the problems.f(2)=...F1 (1) =...F1 (12)) = ...
General
2 months ago
7.a. A 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution.Find volume of the solid. b.A 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. Describe the solid.c. A 3-4-5 right triangle is revolved about its legs to create two solids. Find the volume of each solid
General
2 months ago
A survey by the Pew Research Center asked a random sample of 2142 U.S. adults and a random sample of 1055 college presidents how they would "rate the job the higher education system is doing in providing value for the money spent by students and their families." Their choices were: Excellent, Good, Only Fair, or Poor. 5% the U.S. adults and 17% of the college presidents provided a rating of "Excellent." Calculate the standard error of the difference in sample proportions (for adults minus presidents) based on this data. Round your answer to 4 decimal places
General
2 months ago
One measure of general health is your body mass index (BMI). Adults with a BMI between 18.5 and 24.9 are generally considered to have an ideal body weight for their height. The mean BMI for adults in a certain country is 24.6. Suppose the BMI for adults in this country is normally distributed with standard deviation 1.2. (Round your answers to four decimal places.) Suppose one adult from this country is selected at random. What is the probability that the person's BMI is more than 25.5?
General
2 months ago
10. Two right prisms have similar bases. The first prism has height 5 and volume 100. A side on the base of the first prism has length 2, and the corresponding side on the base of the second prism has length 3. If the height of the second prism is 6, what is its volume?
General
2 months ago
(Will award fast Brainliest & Many Points)The price for digital downloads of music is represented by the linear function f(x) shown on the graph. The price for digital downloads of movies is represented by g(x) = x, where x is the number of movies downloaded and g(x) is the total cost in dollars.You want to make 2 downloads, and you have $5. Determine the least expensive option.A] You download 2 songs.B] You download 2 movies.C] You download 1 song and 1 movie.D] You don't have enough money for 2 downloads.
General
2 months ago
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