Statistics question and answers for September 27, 2023
- Q Let p and q represent the following simple statements.p: You are human.q: You have a tail.Write the following compound statement in symbolic form.Being human is necessary for not having a...
- Q There are 8 acts in a talent show.An acrobat, a comedian, a dancer, a magician, a pianist, a singer, a violinist, and a whistler.A talent show host randomly schedules the...
- Q There are 7 streets to be named after 7 tree types.Ash, Birch, Cedar, Oak, Pine, Spruce, and Willow.A city planner randomly selects the street names from the list of 7...
- Q A number from 1-72 is chosen at random. Find each probability as a fraction (in simplest form). decimal, and percent.a) P(multiple of 9)b) P(odd or at most 16)c) P(factor of...
- Q Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry.Does this problem situation...
- Q Use the graph above to answer the following questions:How is the data in the graph distributed? Symmetrically, skewed left, or skewed right? Approximate the total number of people polled using...
- Q A colony of wasps is growing at a rate of 32% each week. If the colony started with just 4 wasps, which of the following models would approximate the number...
- Q If np?5 and nq?5, estimate P(more than 7) with n= 13 and p=0.3 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or...
- Q If np 25 and nq 25, estimate P(fewer than 4) with n = 13 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution;...
- Q Find the indicated z score. The graph depicts the standard normal distribution withmean 0 and standard deviation 1.The indicated z score is(Round to two decimal places as needed.)
- Q The claim is that weights (grams) of quarters made after 1964 have a mean equal to 5.670 g as required by mint specifications. The sample size is n=32 and the...
- Q The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger...
- Q If np ? 25 and nq ? 25, estimate P(more than 6) with n = 13 and p=0.3 by using the normal distribution as an approximation to the binomial distribution;...
- Q Get an education: A survey asked 32,098 people how much confidence they had in educational institutions. The results were as follows. Round your answers to four decimal places if necessary.Part:...
- Q According to the records of a soft drink company, the bottles for their one-liter-sized products contain an average (mean) of 1.015 liters of beverage, with a standard deviation of 0.14...
- Q The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation...
- Q The assets (in billions of dollars) of the four wealthiest people in a particular country are 32, 25, 24, 19. Assume that samples of size n=2 are randomly selected with...
- Q In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to...
- Q The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm.a. Find the probability that an individual distance...
- Q If np 25 and nq 25, estimate P(fewer than 5) with n = 13 and p = 0.6 by using the normal distribution as an approximation to the binomial distribution;...
- Q An airliner carries 200 passengers and has doors with a height of 75 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation...
- Q A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 973 births consisted of 508 baby girls...
- Q Suppose that the times taken for germination for cauliflower seeds are normally distributed with a mean of 6.9 days. Suppose also that exactly 70% of the cauliflower seeds germinate in...
- Q Fast computer: Two microprocessors are compared on a sample of 6 benchmark codes to determine whether there is a difference in speed the times (inseconds) used by each processor on...
- Q Consider a sample of 45 football games, where 31 of them were won by the home team. Use a 0.05 significance level to test the claim that the probability that...
- Q The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from apopulation having a...
- Q The test statistic of z=1.40 is obtained when testing the claim that p #0.236.a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.b. Find the P-value.c. Using a significance...
- Q Construct the 99.9% confidence interval for the difference P?-P? when x? =70, n? = 113, x?=77, and n?= 133. Round the answers to three decimal places.A 99.9% confidence interval for...
- Q Construct the 99.8% confidence interval for the difference P? P2 when x?=69, n? = 112, x?= 76, and n? = 132. Round the answers to three decimal places. A 99.8%...
- Q A coin-operated drink machine was designed to discharge a mean of 9 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 13randomly chosen...
- Q An orange grower is introducing a new variety of orange. The grower claims that the new oranges have a mean pH of 5. To test the claim, an independent researcher...
- Q Find the experimental probability that only 1 of 4 children in a family is a boy.The problem has been simulated by tossing 4 coins (one to represent each child). Let...
- Q The probability that Callista drives faster than the speed limit (event A) is 0.34, and the probability that she gets to a wedding on time (event B) is 0.45. The...
- Q A lottery involves 35 numbers, from which 6 are randomly selected without replacement. Order does not matter.a) How many possible tickets can be played?b) What is the probability that one...
- Q Suppose a math class contains 27 students, 15 females (three of whom speak French) and 12 males (three of whom speak French). Compute the probability that a randomly selected student...
- Q A jar contains 8 red marbles, numbered 1 to 8, and 11 blue marbles numbered 1 to 11.a) A marble is chosen at random. If you're told the marble is...
- Q Amber rolls a 6-sided die. On her first roll, she gets a "3". She rolls again.(a) What is the probability that the second roll is also a "3".P(3 | 3)...
- Q You wish to conduct a hypothesis test to determine if there is a significant linear correlation between two variables.You have a data set with 14 data pairs. You will conduct...
- Q Two candy bowls contain red and green candies. The first bowl contains an even mix of red and green candies, while the second bowl contains 10% red and 90% green...
- Q If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geometric distribution can be used. The probability of...
- Q On average, 3.5 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below.Click here to view the table of Poisson probability sums.(a) What is the...
- Q Find the probability of a freshman being called on in class if there are 8 sophomores, 4 juniors, 12 seniors and 8 freshmen
- Q Assume that random guesses are made for nine multiple choice questions on an SAT test, so that there are n=9 trials, each with probability of success (correct) given by p=0.25...
- Q Suppose X follows a continuous uniform distribution from 1 to 9. Determine the conditional probability P(X>2.5 | X?7).P(X>2.5|X?7)=(Simplify your answer.)
- Q A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 26 minutes, with a standard deviation of 4.3 minutes. Assume...
- Q The percentage of wins for a basketball team going into the playoffs was 62.6%. Round the 62.6 to 60 in order to use the accompanying table.(a) What is the probability...
- Q A certain region is, on average, hit by 5.7 hurricanes a year. Find the mean and variance of the random variable X representing the number of hurricanes per year to...
- Q Defective components: A lot of 11 components contains 3 that are defective. Two components are drawn at random and tested.Let A be the event that the first component drawn is...
- Q Google it: According to a recent report, 68% of Internet searches in a particular month used the Google search engine. Assume that a sample of 23 searches is studied. Round...
- Q The time needed to complete a math examination is bell-shaped with a mean of 120 minutes and a standard deviation of 10 minutes. a) What percentage of students will complete...
- Q Scores on an exam appear bell-shaped with the middle 68 % of the scores in the interval (118, 156). According to the empirical rule, the middle 95% of the scores...
- Q Suppose the mean of a normally distributed population is 300, and 200 simple random samples are drawn from the population. At a 68% confidence level, (one standard deviation from the...
- Q Consider the experiment where two, six-faced die are rolled at the same time. There are 36 possible outcomes for the experiment.1.List all possible outcomes of the experiment. (20pt)2.What is the...
- Q For the following grouped frequency distribution table of exam scores, how many students had scores higher than X = 54?X f60-64 355-59 450-54 545-49 240-44 171283
- Q Consider the experiment where you toss a coin, toss the coin again, then roll a die.6. What is the probability of getting a head, a tail, and a five? (10pt)
- Q Let A and B be events with P (A)=0.3, P(B)=0.8, and P(A and B)=0.15.(a) Are A and B independent? Explain.(b) Compute P (A4 or B).(c) Are A and B mutually...
- Q Exactly 32 of the iPhone apps have over 100,000 downloads.The complement is:The number of iPhone apps each with over 100,000 downloads is(Choose one)not equal to 32more than 32less than 32
- Q Big bables: The National Health Statistics Reports described a study in which a sample of 325 one-year-old baby boys were weighed. Their mean weight was 24.9 pounds with standard deviation...
- Q Big babies: The National Health Statistics Reports described a study in which a sample of 325 one-year-old baby boys were weighed. Their mean weight was 24.9 pounds with standard deviation...
- Q Free dessert: In an attempt to increase business on Monday nights, a restaurant offers a free dessert with every dinner order. Before the offer, the mean number of dinner customers...
- Q Measuring lung function: One of the measurements used to determine the health of a person's lungs is the amount of air a person can exhale under force in one second....
- Q Determine whether events A and B are mutually exclusive.A red die and a blue die are rolled.A: The red die comes up 5.B: The total is 4.These events (Choose one)...
- Q Sampling and Sampling Distributions (CTL): The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almanac): Critical Reading 502; Mathematics...
- Q If P (A)=0.55, P (B)=0.6, and P (A and B)=0.4, find P (A or B).
- Q Let E be the event that a new car requires engine work under warranty and let T be the event that the car requires transmission work under warranty. Suppose that...
- Q Find the probability of an event and identify whether it is experimental or theoretical.1. When a fair dice is rolled once, what is the probability of a number less than...
- Q Let A and B be events with P(A)=0.2 and P (B)=0.7. Assume that A and B are independent. Find P(A and B).
- Q At a certain car dealership, the probability that a customer purchases an SUV is 0.18. Given that a customer purchases an SUV, the probability that it is black is 0.21....
- Q In a statistics class of 40 students, there were 12 men and 28 women. Two of the men and three of the women received an A in the course. A...
- Q Computer purchases: Out of 805 large purchases made at a computer retailer, 348 were personal computers, 390 were laptop computers, and 67 were printers. As a part of an audit,...
- Q Let A and B be events with P(A)=0.4, P (B)=0.8, and P(B|A)=0.5.Find P(A and B).
- Q Consider the experiment where you toss two coins and roll a six-faced die at the same time.5. What is the probability of getting a head, tail, and a five?
- Q More than 32 of the iPhone apps have over 100,000 downloads.The complement is:
- Q A fair coin is tossed four times. What is the probability that all four tosses are heads? Write your answer as a fraction or a decimal, rounded to four decimal...
- Q Interest centers around the life of an electronic component. Suppose it is known that the probability that the component survives for more than 7000 hours is 0.35. Suppose also that...
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