Basic Math question and answers for September 08, 2024
- Q If the hypotheses are: Ho: M? 40, Ha : M > 40, what would you conclude at a p-value 0.10 and alpha 0.01?There is no evidence to support that the...
- Q The trainer believes that in the age group of 13 to 18, boys are taller than girls. To test his claim he compared the average heights of boys to the...
- Q Farmers sell milk by the hundredweight (100 pounds of milk). At one time the mean price was $16.30 per hundredweight with a standard deviation of 2.01. What is the probability...
- Q A random sample of 250 students at a university finds that these students take a mean of 15.3 credit hours per quarter with a standard deviation of 1.6 credit hours....
- Q What is the probability in a standard normal distribution that a data value lles more than 3 standard deviations from the mean?0.00150.0250.150.3
- Q Suppose that the weights of a group of student are normally distributed with a mean equal to 190 pounds and standard deviation equal to 20. What is the probability of...
- Q 78, 82, 91, 75, 76, 86, 90, 88, 70, 72A student was absent on the day of the quiz and scored a 50 on the make-up quiz. Whatis the approximate...
- Q Suppose the researcher wants to test if the average number of computers sold at a department store is greater than 200 units. Set the hypotheses for the given scenarios.Ho: M>...
- Q In a standard normal curve with = 500 and o= 100, what interval centered at the mean contains 68% of the data set?400 to 600300 to 700200 to 800450 to...
- Q Which of the following statements is incorrect?An alternate hypothesis always states difference.An alternate hypothesis always states significant influence.An alternate hypothesis always states significant dependence of variables.An alternate hypothesis always states...
- Q The average score of 22 students on a math online quiz Is 86.3 with a standard deviation of 7.2. The average population score is 83.5. What is the t-value?8.554.891.821.19
- Q Consider the data set:4, 5, 5, 6, 6, 8, 8, 9, 10, 14What would happen to the median if another data point of 25 was added to the data set?The...
- Q A normal distribution has = 1.45 and ? = .40. What is the interval that contains the middle 95% of the data set?0.65 to 2.251.05 to 1.851.45 to 2.251.85 to...
- Q Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data,...
- Q Mr. Cook gave a history quiz last week. The scores from his class areshown below.78, 82, 91, 75, 76, 86, 90, 88, 70, 72A student was absent on the day...
- Q In order to test the efficacy of a program designed to attract more women to STEM fields in college, 700 female students who completed the program were compared to 1200...
- Q At a large university in Conway, South Carolina, the Dean wants toknow what proportion of students enjoyed theirintroductory statistics course. In order to answer this question, 200randomly selected students who...
- Q A study of elephants is conducted to determine the average weight of a certain subspecies of elephants. The standard deviation for the population is 1500 pounds. At a 99% level,...
- Q The diameters of apples from a certain farm follow the normal distribution with mean 4 inches and standard deviation 0.4 inch. Apples can be size-sorted by being made to roll...
- Q The monthly cost of operation at a company, C, given in dollars as a function of the number of units produced per month, u, is given below.C= $3,173 + $31uIf...
- Q Describe how you know the difference between a binomial distribution and other probability distributions. Give an example of a scenario involving a binomial distribution not discussed in this lesson.
- Q The owner of a radio station wants to determine how much airtime songs take up. The owner collects the song length in seconds of 10 population songs. The data are...
- Q In a survey of 356 people who attended a local professional soccer team's most recent home game, 135 said that they were fans of the visiting team. Create a 95%...
- Q The amount of time it takes Emma to wait for the train is continuous and Uniformly distributed between 4 minutes and 11 minutes. What is the probability that it take...
- Q Your credit card company uses the Unpaid Balance Method. Determine the finance charge at the end of the month for the following of transactions. Assume the interest rate is 12%....
- Q The standard IQ test has a mean of 101 and a standard deviation of 16. Determine the required sample size if we want to estimate the population mean with 98%...
- Q Suppose that the delivery times for a local pizza delivery restaurant are normally distributed with an unknown mean and standard deviation. A random sample of 24 deliveries is taken and...
- Q Timothy wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each 75 randomly selected students in the school....
- Q Nine hundred (900) high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.7, and the standard deviation was 0.4. What...
- Q A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distributed with a mean of $41,182 and a standard deviation of...
- Q A data set of values has a mean of 45 and a standard deviation of 5. The z-score for a point A is 0. The z-score for a point B...
- Q The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is unknown. However, records indicate that the mean time is 11.1...
- Q The local Art Club has 5 members. Their ages are 19, 25, 30, 63, and 30. Find the mode, mean, and standard deviation. Make sure you label each answer.
- Q Listed below are the measured radiation emissions (in W/kg) corresponding to cell phones: A, B, C, D, E, F, G, H, I, J, and K respectively. The media often present...
- Q You decide that you want to make sure your estimate from part a is correct. You go out and gather 10 simple random samples of 25 people in your school...
- Q Suppose a survey of 500 people age 18 to 34 indicated that 32.2% of them live with one or both of their parents. Construct and interpret a 99% confidence interval...
- Q Round answer to 4 decimal places.Mr. H is playing the batting game at the local fair. He will have six balls pitched to him. Thenumber of balls he can hit...
- Q Class SurveyA student is running a survey for a class project, which asks fellowhigh school students "What is your favorite sport?"Which of the following would yield the most accurate/most unbiased...
- Q An insurance company crashed four cars of the same model at 5 miles per hour. The costs of repair for each of the four crashes were $429, $437, $476, and...
- Q A random variable X can take on three possible values: -5,0, or 10. Each of these values is associated with the following probabilities: P(X=-5) = P(X= 0) = 0.4 and...
- Q Classify the hypothesis test as left-tailed, right- tailed, or two-tailed.At one school, the average amount of time that tenth-graders spend watching television each week is21.6 hours. The principal introduces a...
- Q Which data set is the farthest from a normal distribution?. 2, 3, 3, 4, 4, 4, 5, 5, 63, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 100.9,...
- Q Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. Use a 0.05 significance level to test...
- Q A helicopter can hold a maximum of 8 people or 1000 pounds. A group of 7 people want to know if they can take a ride. Which measure of central...
- Q A genetic experiment involving peas yielded one sample of offspring consisting of 433 green peas and 142 yellow peas. Use a 0.01 significance level to test the claim that under...
- Q A large corporation sent out four groups of people to conduct observational studies on the average walt time at four different restaurants in itsrestaurant group. The restaurants have approximately the...
- Q P-value is theA. probability, when the null hypothesis is false, of obtaining a sample result that is at least as unlikely (or as extreme) as what is observedB. probability, when...
- Q Polonium-210 is a radioactive substance with a half-life of 138 days. If a nuclear facility is handling 110 grams of polonium-210, then how many grams of polonium- 210 will be...
- Q A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolera sauna, and y is the temperature, in degrees Fahrenheit, of...
- Q A travel association claims that the mean dailymeal cost for two adults traveigling togetheron vacation in San francisco is $105.A random sample of 20 such couples has a meandaily meal...
- Q The mean of the deviations can not be a measure of dispersion because _________if a data point is less than the mean X, then the deviation is negativeif the data...
- Q A college believes that 26% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have...
- Q Which of the following is true?It is never good to have sampling bias.Statistics are not used to help understand the data collected.A random sample includes only specific people.The best results...
- Q You conduct a statistical test of hypotheses and find that your data are statistically significant at a = 0.05. In other words, your P-value is equal to or smaller than...
- Q Compute the critical value Za/2 that corresponds to a 85% level of confidence.Click here to view the standard normal distribution table (page 1)Click here to view the standard normal distribution...
- Q The selling price of a refrigerator, is $601.65. If the markup is 5% of the dealer's cost, what is the dealer's cost of the refrigerator?
- Q Mike wants to find the confidence interval for a set of data. He knows the sample size and the sample proportion. Which other piece ofInformation does he need to determine...
- Q In order to predict y-values using the equation of a regression line, what must be true about the correlation coefficient of the variables?Choose the correct answer below.A. The correlation between...
- Q We wish to test the claim that u > 32 at a level of significance of a = 0.05. The sample statistics are n = 50, and x-bar = 32.3....
- Q Assume that a hypothesis test will be conducted using a significance level of a = 0.01 and null hypothesis Ho: ? = 21. Furthermore, assume that the following sample data...
- Q A manufacturer claims that fewer than 6% of its fax machines are defective. To test this claim, he selects a random sample of 97 such fax machines and finds that...
- Q Thirty students raised money by selling frozen pizzas. In total, 400 pizzas were sold. The teacher wants to raffle off a prize proportional tothe number of pizzas each student sold....
- Q In a board game, players take turns spinning a wheel with four spaces and values of $100, $300, $400, $800. The probability of landing on $100 is 4/9. The probability...
- Q The unemployment rate in a city is 14%. If 7 people from the city are sampled at random, find the probability that fewer than 3 of them are unemployed. Carry...
- Q Given the linear correlation coefficient r and the sample size n, determine the criticalvalues of r and use your finding to state whether or not the given r represents asignificant...
- Q There were approximately 6.08 billion people in the world in the year 2000. The population grew about 1.23% each year since. Write an exponential function and use it to estimate...
- Q The mean weight of a box of cereal filled by a machine is 16.0 ounces, with astandard deviation of 0.3 ounce. If the weights of all the boxes filled by...
- Q For the values 1.2, 3, 4, 1.2, 3.2, 4.1, 1.2, 9, 6, 1.2, and 4.5, how much does the standard deviation change if the outlier 9 is removed from the...
- Q 24. Consider the following statements.(i) If u and v are orthogonal in R then ||u + v|| = ||u v||(ii) ||u||+ ||v||||u+v||+||uv|| for all u, v in R.Which of the...
- Q A restaurant owner wants to determine the effectiveness of his servers. The owner places a survey regarding the servers' effectiveness with randomly selected customer bills.What is the sample?A. The sample...
- Q Select the correct answer.As the number of samples increases, which value can be used to approximate a population mean?A the mean of the sample meansB. the standard error of the...
- Q The average driver spends $54 at the gas station each week with a standard deviation of $8. Assuming that the amount a driver spends on gas follows a normal distribution,...
- Q Use the probability distribution to complete parts (a) and (b) below.The number of defects per 1000 machine parts inspectedDefectsProbability0.2600.2910.2400.155 0.044(a) Find the mean, variance, and standard deviation of the probability...
- Q An airline claims that the no-show rate for passengers booked on its flights is less than 6%.Of 380 randomly selected reservations, 18 were no-shows.Assuming that this data is used to...
- Q Find the standardized test statistic t for a sample with n = 12, x-bar = 18.8, and s = 2.1.Assume that the significance level is a = .01 and the...
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