Basic Math question and answers for August 31, 2024
- Q There are eight nights in the celebration of Hanukkah. Suppose there is a 30% chance on each night that Michael receives a present from his family members. Assume the chance...
- Q Birthdays of hockey players: In Malcolm Gladwell's book Outliers, he shares the work of Canadian psychologistRoger Barnsley, who noticed that a disproportionately high percentage of elite ice-hockey players have birthdaysbetween...
- Q Sample size: A researcher is trying to decide how many people to survey. Which of the following sample sizes will result in a confidence interval with the largest width?1000700The width...
- Q Suppose the number of presents that Santa Claus will leave under each Christmas tree is Poisson distributed with a mean of 4.7 presents per tree. C) Find the probability that...
- Q A manufacturer knows that their items have a lengths that are skewed right, with a mean of 10.2inches, and standard deviation of 0.6 inches.If 31 items are chosen at random,...
- Q In a survey, 30 people were asked how much they spent on their child's last birthday gift. The resultswere roughly bell-shaped with a mean of $30 and standard deviation of...
- Q Discrimination in the workplace: A large multinational corporation is accused of discriminatory hiring practices,tending to hire male employees who are 25 to 30 years old. After management agree to offer...
- Q An example of the vertical-horizontal illusion isshown in the figure. Although the two lines are ex-actly the same length, the vertical line appears to bemuch longer. To examine the strength...
- Q An ice cream shop surveyed their customers to determine the number of times a person comes into their shop per month.200 adults were surveyed and 50 children were surveyed.. The...
- Q Doctoral Student Salaries Full-time Ph.D. students receive an average of $12,837 per year. If theaverage salaries are normally distributed with a standard deviation of $1500, find these probabilities.Round the final...
- Q To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of = 50, and the treatment is administered to...
- Q Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 3.5 (to 2...
- Q Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses.Ho: The food is safe.Ha:...
- Q The following sample was obtained from a population with unknown parameters. Scores: 13, 7, 6, 12, 0, 4 a. Compute the sample mean and standard deviation. (Note that these are...
- Q Justin is interested in buying a digital phone. He visited 8stores at random and recorded the price of the particularphone he wants. The sample of prices had a mean of...
- Q The results of a common standardized test used in psychology research is designed so that thepopulation mean is 135 and the standard deviation is 30. A subject earns a score...
- Q One sample has SS = 36 and a second sample has SS = 24.a. If n - 5 for both samples, find each of the sample variances and compute the...
- Q Two separate samples, each with n = 9 individuals, receive different treatments. After treatment, the first sample has SS = 546 and the second has SS = 606. a. Find...
- Q In a survey, 12 people were asked how much they spent on their child's last birthday gift. The resultswere roughly bell-shaped with a mean of $48 and standard deviation of...
- Q Privacy issues: In a Fall 2014 Pew Research survey, 25% of American adults say they are "not at all confident" that the records of their activity maintained by credit card...
- Q Overtime Hours Worked A random sample of 17 registered nurses in a large hospital showed that they worked on average44.5 hours per week. The standard deviation of the sample was...
- Q 1The scores on a test are normally distributed with a mean of 200 and a standard deviation of 20. Find the score that is 3;32A score of1is 3- standard deviations...
- Q 7. The following scores are the ages for a random sampleof n = 32 drivers who were issued parking ticketsin Chicago during 2015. Determine the best intervalwidth and place the...
- Q Proctor & Gamble claims that 50% of the bars of Ivory soap they produce are "perfect" (meaning no defects or other issues). Unilever, one of Proctor & Gamble's competitors, wants...
- Q Population of College Cities College students often make up a substantial portion of the population of college cities and towns.State College, Pennsylvania, ranks first with 71.1% of its population made...
- Q The mean weight of male dancers in a local modern dance company is less than 175 lbs. Express the null and alternative hypotheses in symbolic form for this claim.Ho:H?:
- Q President Biden is proposing health care reform and wants to know how many people he needs to survey in Massachusetts to see if they favor his reform package and he...
- Q Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year.Suppose the benefits are normally distributed with a standard deviation of $460. Round...
- Q 37. A car is purchased for in 2015 for $36,000. It loses 20% of its value each year. Let t represent time in years since 2015 and V represent the...
- Q 2. [10 points] Consider the following multiple regressions:y = a + ??x? + ??x? + uy = a + ??x? + ??x? + ?3x3 + ECan the two regression have...
- Q If n=13, x(x-bar)=41, and s=10, construct a confidence interval at a 80% confidence level. Assume the data came from a normally distributed population.Give your answers to one decimal place.
- Q (a) Find the P-value for the test statistic z = -2.31 for the following null and alternative hypotheses:Ho: The population mean is 10.Ha: The population mean is less than 10.The...
- Q Consider the following investment options.Option 1: invest $3000 for 8 years at 6% compound annuallyOption 2: invest $3000 for 8 years compounded continuously at 5%How much will each investment be...
- Q Intelligence quotas on two different tests are normally distributed. Test A has a mean of 100 and a standard deviation of 16. Test B has a mean of 100 and...
- Q In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.5. Answer parts (a)-(d) below.(a)...
- Q The lifetime of a specific brand of alkaline battery used in a smoke alarm is normally distributed with a mean of 4000 hours and a standard deviation of 600 hours....
- Q A group of data items and their mean are given.24, 40, 56, 96, 144, 216; Mean = 96a. Find the deviation from the mean for each of the data items.b....
- Q #6.GMAC will rent a small Buick for $32 per day and 22 per mile, and MOPAR will rent a smallDodge for $29 per day and 26 per mile. For a...
- Q Compute the mean, range, and standard deviation for the data items in each of the three samples. Then describe one way in which the samples are alike and one wayin...
- Q If your null and alternative hypothesis are:Ho: p = 0.59H?: p> 0.59Then the test is:left tailedtwo tailedright tailed
- Q Out of 300 people sampled, 15 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.Give your answers as decimals, to...
- Q (2 points) a) Fact: The region under the standard normal curve that lies to the left of 1.38 has area 0.9162.Without consulting a table or a calculator giving areas under...
- Q After paying $20,000 for a car, you read that this model has decreased in value 15% per year over the last several years. If this trend continues, how much will...
- Q David invests $800 into an account with a 2.3% interest rate that is compounded semiannually.How much money will he have in this account if he keeps it for 5 years?Round...
- Q 39 packages are randomly selected from packagesreceived by a parcel service. The sample mean weight is 15.3 pounds. From previous samples we know thepopulation standard deviation 1.9 pounds. Construct at...
- Q What is the purpose of taking a simple random sample from a population?To make inference about the population.In order to establish cause and effect.A random sampl ensures that every member...
- Q Given a normal population whose mean is 615 and whose standard deviation is 79, find each of the following:A. The probability that a random sample of 7 has a mean...
- Q A company's total cost C(x) to manufacture a quantity x of a certain item can be represented by C(x) = 0.03x + 27x + 850. Find the average rate of...
- Q On each trial of an experiment, a subject is presented with a constant soft noise, which is interrupted at some unpredictable time by a noticeably louder sound. The time it...
- Q 7. In the garden pea, yellow cotyledon color is dominant to green, and inflated pod shape is dominant to theconstricted form. A homozygous dominant yellow inflated plant is crossed with...
- Q A soup company wants to know if a newformula would sell better than the oldone. Out of a focus group of 20 randomlyselected volunteers, 10 get the newformula and 10...
- Q Abdul will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $54and costs an additional $0.18 per mile...
- Q Suppose that the serum total cholesterol for males 20 to 29 years old has a N(180,40)distribution. The percent of males aged 20 to 29 with serum total cholesterol level higher...
- Q The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of122 and standard deviation of 16.Someone qualifies as having Stage 2 high blood...
- Q A local news agency wanted to estimate unemployment in your local community. First the news agency randomly dialed cell phone numbers until 1000 adults in their community had been reached....
- Q The data results below are from a simulation conducted to estimate thenumber of books read per year by teenagers:2, 7, 8, 15, 18, 19, 5, 17, 6, 4, 11, 7What...
- Q Assume that the test scores of 37 students in a math course are normally distributed with a mean of 84 and a standard deviation of 5. What percentage of students...
- Q You want to see if studying in your room during your senior year in highschool affects your grades. You take 20 students all with similar gradesand put them into groups...
- Q The net weights of all boxes of Top Taste cookies are normally distributed with a mean of 32.07 ounces and a standard deviction of 0.11 ounce. The probability that the...
- Q In a certain distribution of numbers, the mean is 90 with a standard deviation of 3. At least what fraction of the numbers are between 63 and 117?At least of...
- Q a regression analysis on a set of data (with two variables, X and Y) outcomes a value of r-square = 0.78What would be the interpretation of this value?
- Q Suppose a large gumball machine has 25% pink gumballs. Imagine taking a simple random sample of 25 candies and observing the sample proportion, p hat of pink gumballs. You do...
- Q Each of the 32 NFL teams has 53 players. A sample of 75 players is to be chosen usingthe following method.. Each team will be asked to place 53 pieces...
- Q A sample of 28 weekly donntimes (in hours) for a computer produced a variance of 4.488. The nullhypothesis is that the variance of all dann-times for this type computer is...
- Q You measure 50 turtles' weights, and find they have a mean weight of 73 ounces. Assume the populationstandard deviation is 5 ounces. Based on this, construct a 90% confidence interval...
- Q Suppose that 55% of registered voters in North Carolina are registered Republican, 45% are registered Democrat, and 10% are registered as independent. A local paper wants to collect a sample...
- Q Scores on a test are approximately normally distributed with a mean of 70 and a standard deviation of 9. The teacher wants to give A's to the top 10% of...
- Q What is the purpose of finding a sample mean or proportion?There is no purpose becuase you should always find the population mean or proportion. Estimates are not accurate.There is no...
- Q A publisher reports that 24 % of their readers own a particular make of car. A marketing executive wants to test theclaim that the percentage is actually less than the...
- Q 21. The body temperatures of adults are normally distributed with a mean of 98.6 F and astandard deviation of 0.19 F.a) What temperature represents the 85th percentile?b) What temperature represents...
- Q Assume that scores for the new SAT are normally distributed with a mean of 1060 and a standard deviation of 210. a. If a student scores 1400 on the SAT,...
- Q As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and400 red marbles. She tells the students the bag contains 1100 total marbles,...
- Q A department store conducted a study regarding the mean distance customers live from the store. The store randomlyselected 230 customers and found they lived a mean distance of 18.1 miles...
- Q Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. The U.S. Marine Corps requires that men...
- Q In an NIH survey of U.S. men, the heights for the 20-29 age group were normallydistributed with a mean of 69.4 inches and a standard deviation of 2.9 inches.a) What...
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