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Statistics Questions
Based on the data shown below, use your graphing calculator or Excel to calculate the regression line (each value to two decimal places)
Describe the relationship between the data in the scatter plot.
You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α = 0.01 .
Based on these data, a 99% confidence interval for μ, in days, is
You wish to test the following claim (H a) at a significance level of α = 0.02.
You wish to test the following claim (H a) at a significance level of α = 0.05.
You wish to test the following claim (H a) at a significance level of α = 0.002.
Two samples are taken with the following sample means, sizes, and standard deviations
Two samples are taken with the following numbers of successes and sample sizes
Using traditional methods it takes 107 hours to receive an advanced flying license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher believes the new technique may reduce training time and decides to perfor
statistics
Binomial Distribution
I need help with this statistics question
Math
Six individuals, including A and B, take seats around a circular table in a completely random fashion. Suppose the seats are numbered 1, …, 6. Let X= A's seat number and Y= B's seat number. If A sends a written message around the table to B in the directi
The following two-way table gives data for a 2 × 2 factorial experiment with two observations per factor-level combination:
Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 10] independent of morning waiting time. a. If you take the bus each morning and evening for a week,
Suppose that X1, X2, . . . , Xn is an iid sample of N (0, σ2 ) observations, where σ 2 > 0 is unknown. Consider testing H0 : σ 2 = σ 2 0 versus H1 : σ 2 6= σ 2 0
A) Find the Variance of X + Y. B) Find Cov(X,Y). Give your answers to the nearest hundredth.
A random variable follows the normal probability distribution with a mean of and a standard deviation of . Complete parts (a) through (d) below.
A sample of fifth-grade classes was studied in an article. One of the variables collected was the class size in terms of student-to-faculty ratio. The student-to-faculty ratios of the 85 fifth-grade classes sampled have a mean of 16.21 and a stand
efer to the Weekly Earnings data set below. College Student Weekly Earnings (n = 5) Hours Worked (X) Weekly Pay (Y) 10 93 15 171 20 204 20 156 35 261 Click here for the Excel Data File (a) Use M
Ex. 52 The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There are four batteries in a package. What lifetime value is such that the total lifetime of all batteries in a package excee
Ex. 46. The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation .04 cm. a. If ?̅ is the sample mean diameter for a random sample of n= 16 rings, where is the sampling distribution of ?̅ cent
Ex. 36 Show that if Y= aX+ b (a≠0), then Corr(X, Y) = +1 or -1. Under what conditions will p = +1?
Ex. 24 Six individuals, including A and B, take seats around a circular table in a completely random fashion. Suppose the seats are numbered 1, …, 6. Let X= A's seat number and Y= B's seat number. If A sends a written message around the table to B in the
Ex. 10 Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a local health-food restaurant. Let X = Annie's arrival time and Y= Alvie's arrival time. Suppose X and Yare independent with each uniformly distributed on the interv
A stockroom currently has 30 components of a certain type, of which 8 were provided by supplier 1, 10 by supplier 2, and 12 by supplier 3. Six of these are to be randomly selected for a particular assembly. Let X= the number of supplier 1's components sel
statistics
statistics
statistics
A scientist is investigating the hypothesis that taking more math classes in college directly leads to higher income later in life.
The table summarizes results from 988 deaths that were caused by automobile aecidents.
70. If X has an exponential distribution with parameter ⋋, derive a general expression for the (100p)th percentile of the distribution. Then specialize to obtain the median.
There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation .1 cm. The second machine produces corks with diameters that h
The amount of time it takes a student to solve a homework problem in mathematical statistics
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. a. P(0 ≤ Z ≤ 2.17) h. P(1.37 ≤ Z ≤ 2.50) i. P(1.50 ≤ Z) j. P(|Z| ≤ 2.50)
A recent study from the University of California, Berkeley, suggests that compared to black Americans, white Americans are less likely to cross the race barrier in online dating. In a sample of 120 white men, 24 initiated contact with someone outside of t
A recent study from the University of California, Berkeley, suggests that, compared to white Americans, black Americans are more likely to cross the race barrier in online dating. In a sample of 120 white men, 24 initiated contact with someone outside the
A company claims that you can expect your car to get one mpg better gas mileage while using their gasoline additive. A magazine did a study to find out how much a car’s gas mileage improved while using the gasoline additive. The study used 36 cars and rec
A shoe company designed a low-top and high-top version of a particular shoe. One of the shoe-making engineers claims that the low-top version does not last as long as the high-top version before wearing out. To test this claim, she takes a sample of 36 lo
A sports commentator believes that a particular basketball player is just awful in road games but relatively effective at home. To test this claim, the commentator takes a random sample of 36 road games and 49 home games and collects the player’s scoring
The percentage of complete passes is an important measure for a quarterback in the NFL. A particular quarterback has a career completion percentage of 55%. The quarterback got a new coach and then played a few games where he completed 48 of 100 passes. a
According to a Lawyers.com survey, only 35% of adult Americans had a will (The Wall Street Journal, December 12). Suppose a recent survey of 250 adult Americans found 100 adults with wills. a. Specify the competing hypotheses to determine whether the pr
A hairdresser believes that she is more profitable on Tuesdays, her lucky day of the week. She knows that, on average, she has a daily revenue of $250. She randomly samples the revenue from eight Tuesdays and finds she takes in $260, $245, $270, $260, $29
A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in place, an average of 120 infants contracted typhoid each month. After the wells were installed, the philanthropic organization s
A sample of holiday shoppers is taken randomly from a local mall to determine the average daily spending on gifts. From a preselected sample, the standard deviation was determined to be $26. You would like to construct a 95% confidence interval for the me
A recent survey of 1,014 American adults found that 46% view environmental conditions as either "excellent" or "good" (Gallup, March 4—7). Construct a 95% confidence interval of the population proportion.
A large university is interested in the outcome of a course standardization process. They have taken a random sample of 100 student grades, across all instructors. The grades represent the proportion of problems answered correctly on a midterm exam. The s
A medical engineering company creates x-ray machines. The machines the company sold in 1995 were expected to last six years before breaking. To test how long the machines actually lasted, the company took a simple random sample of six machines. The compan
In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of
A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 5 pounds within a month.” Six clients of this program are weighed on the first day of the diet and t
A phone manufacturer wants to compete in the touch screen phone market. Management understands that the leading product has a less than desirable battery life. They aim to compete with a new touch screen phone that is guaranteed to have a battery life mor
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table)
An article found that Massachusetts residents spent an average of $860.70 on the lottery in 2010, more than three times the U.S. average (www.businessweek.com, March 14, 2012). A researcher at a Boston think tank believes that Massachusetts residents spen
The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of six employees reveals the following family dental expenses:
how would i go about solving for question 3b an maybe even 3a
how would i go about solving for question 3b
Determine whether the random variable is discrete or continuous. In each case, state thr possible values of the random variable.
In a study of 775 randomly selected medical malpractice lawsuits, it was found that 520 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the fol
Statistical Distributions
A researcher is interested in determining the average number of years employees of a company stay with the company.
A random sample of 25 observations was selected from a normally distributed population. The average in the sample was 84.6 with a variance of 400.
Probability
Statistics question please help
Determine the critical value, z0 , to test the claim about the population proportion
Suppose we have independent observations X1 and X2 from a distribution with mean ? and standard deviation ?. What is the variance of the mean of the two values?
I want answer those question, please help me.
Find mean and margin of error if 28.4 < µ < 38.8
Is there enough evidence to say that the machine is not filling the bottles with an average of 16 ounces at the 5% significance level?
A random variable X is lognormal if ln X, the natural logarithm of X, is normally distributed. Find the mean and variance of a lognormal random variable with ln X ∼ N(µ, σ2 ). [Hint: consider using the mgf of the normal distribution.]
Prove that any two independent random variables are uncorrelated.
Confidence Intervals
Confidence Intervals
Real Estate data
I think it's one of the t-values but not 100% sure. Please help and give an explanation!
Please provide an explanation & work if you can!
Which of the following are one-tailed tests?
When conducting a hypothesis test concerning the population proportion, the value of the test statistic is calculated as ____________.
Show me how to use this on a calculator
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