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According to the Texas Department of State Health Services, there are approximately 17.7 million adults (age 18+) living in Texas, of which 1.45 million have diabetes. In 2010, 366,921 adult Texans were diagnosed with diabetes for the first time.What is the incidence of diabetes in Texas? Express your answer in units of per 1000 persons per year
General
3 months ago
Pedro thinks that he has a special relationship with the number 3. In particular, Pedro thinks that he would roll a 3 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 3.(a) State the null and alternative hypotheses for testing Pedro's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =" and express any values as a fraction e.g. p = 1/3)H0 = _______Ha = _______(b) Now suppose Pedro makes n = 30 rolls, and a 3 comes up 6 times out of the 30 rolls. Determine the P-value of the test:P-value =________
General
3 months ago
A journal article reports that a sample of size 5 was used as a basis for calculating a 95% CI for the true average natural frequency (Hz) of delaminated beams of a certain type. The resulting interval was (230.061, 233.807). You decide that a confidence level of 99% is more appropriate than the 95% level used. What are the limits of the 99% interval?
General
3 months ago
A fitted multiple regression equation is Y = 28 + 5X1 - 4X2 + 7X3 + 2X4. When X1 increases 2 units and X2 increases 2 units as well, while X3 and X4 remain unchanged, what change would you expect in your estimate of Y? A. Increase by 2 B. Decrease by 4 C. Increase by 4 D. No change in Y
General
3 months ago
what is the probability that a randomly-selected driver fatality who was female was less than 16 years old the probability that a randomly-selected driver fatality who was female was less than 16 years old is approximately _____.
General
3 months ago
A study found that the average stopping distance of a school bus traveling 50 mph was 264 feet. a group of automotive engineers decided to conduct a study of its school buses and found that for 40 buses, the average stopping distance of buses traveling 50 mph was 262.3 feet. the standard deviation of the population was 3.0 feet. test the claim that the average stopping distance of this company's buses is actually less than 264 feet. perform an appropriate hypothesis test. be sure to clearly define your parameter, check your conditions, and list all four steps of the test.
General
3 months ago
Consider the sequence: 8, 11, 14, 17, 20, 23, 26, ..... Write a recursive definition: Group of answer choices LaTeX: a_n=2\cdot a_{n-1}-5 a n = 2 ⋅ a n − 1 − 5 LaTeX: a_n=3\cdot a_{n-1} a n = 3 ⋅ a n − 1 LaTeX: a_n=3+a_{n-1} a n = 3 + a n − 1 LaTeX: a_n=8+3\cdot a_{n-1}
General
3 months ago
Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = t2 − 3t, 1 + 4t, 1 3 t3 + 1 2 t2 , t = 4.
General
3 months ago
An airplane with room for 100 passengers has a total baggage limit of 6000 lb. Suppose that the total weight of the baggage checked by an individual passenger is a random variable x with a mean value of 48 lb and a standard deviation of 22 lb. If 100 passengers will board a flight, what is the approximate probability that the total weight of their baggage will exceed the limit? (Hint: With n = 100, the total weight exceeds the limit when the average weight x exceeds 6000/100.) (Round your answer to four decimal places.)
General
3 months ago
For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test statistics.(a) z0 = 2.05 (b) z0 = −1.84 (c) z0 = 0.4
General
3 months ago
If the inspection division of a county weights and measures department wants to estimate the mean amount of soft-drink fill in 2-liter bottles to within LaTeX: \pm± 0.01 liter with 95% confidence and also assumes that the standard deviation is 0.05 liter, what sample size is needed?
General
3 months ago
Players on the school soccer team are selling candles to raise money for an upcoming trip. Each player has 24 candies to sell. If a player sells for candies, a profit of $30 is made. If he sells 12 candies, a profit of $70 is made. The profit And the number of candies sold form a linear relation. What is the slope and what does it mean in this problem?
General
3 months ago
Which sequence could be described by the explicit definition: LaTeX: a_n=n^2-5a n = n 2 − 5 Group of answer choices 1,-4,4,11,116,... 1,2,3,4,5,6,... -4,-1,4,11,20,.... -4,11,116,13451
General
3 months ago
Find the probability that a randomly selected point within the circle falls in the red shaded area (square)
General
3 months ago
Which expressions are equivalent to the one below? log 2- log 8
General
3 months ago
A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. A local government office in a rural area randomly samples 100 elementary school children in their district and find an average one-way commute time of 38 minutes with a standard deviation of 8 minutes. Which of the following is the correct set of hypotheses for testing if the average commute time of elementary school students in this district is different than the commonly cited standard of 30 minutes? H0: x = 38; HA: μ = 30H0: μ = 30; HA: μ ≠ 30H0: μ = 30; HA: x = 38HA: μ = 30; H0: x ≠ 30H0: μ = 30; HA: μ > 30
General
3 months ago
n a poll, 51% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 3%, and the estimate was made with 95% confidence. At least how many people were surveyed? The minimum number of surveyed people was nothing. (Ro
General
3 months ago
Proving Segment Relationships1. FAMILY Maria is 11 inches shorter than her sisterNancy. Brad is 11 inches shorter than his brotherChad. If Maria is shorter than Brad, how do theheights of Nancy and Chad compare? What if Mariaand Brad are the same height?
General
3 months ago
Provided below are summary statistics for independent simple random samples from two populations. Preliminary data analyses indicate that the variable under consideration is normally distributed on each population. Decide whether use of the pooled t-test and pooled t-interval procedure is reasonable. x overbar 1equals485.6, s 1equals44.3, n 1equals49, x overbar 2equals390.1, s 2equals61.3, n 2equals31.Is use of the pooled t-test and pooled t-interval procedure reasonable or not reasonable? A. Reasonable B. Not reasonable
General
3 months ago
A pension fund manager decides to invest a total of at most $3535 million in U.S. Treasury bonds paying 66% annual interest and in mutual funds paying 99% annual interest. He plans to invest at least $55 million in bonds and at least $1515 million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. The fund manager is allowed to spend no more than $66000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest?
General
3 months ago
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