Fundamentals Of Statistics 5th Edition Michael Sullivan - Solutions

A researcher wanted to estimate the average length of time mothers who gave birth via Caesarean section spent in a hospital after delivery of the baby.Decide whether the problem requires a confidence interval or hypothesis test, and determine the variable of interest. For any problem requiring a
An investigator with the Food and Drug Administration wanted to determine whether a typical bag of potato chips contained less than the 16 ounces claimed by the manufacturer.Decide whether the problem requires a confidence interval or hypothesis test, and determine the variable of interest. For any
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested?H0: μ = 120H1: μ < 120
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested?H0: p = 0.76H1: p > 0.76
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested?H0: σ = 4.2H1: σ ≠ 4.2
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested?H0: p = 0.2H1: p < 0.2
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed. What parameter is being tested?H0: μ = 5H1: μ > 5
True or False: Sample evidence can prove a null hypothesis is true.
The _______ is the probability of making a Type I error.
According to the Pew Research Center, the proportion of the American population who use only a cellular telephone (no landline) is 0.37. Jason conducts a survey of thirty 20- to 24-year-olds who live on their own and finds that 16 do not have a landline to their home. Does this provide sufficient
If we do not reject the null hypothesis when the statement in the alternative hypothesis is true, we have made a Type ______ error.
If we reject the null hypothesis when the statement in the null hypothesis is true, we have made a Type ______ error.
The ______ is a statement we are trying to find evidence to support.
The _________ is a statement of no change, no effect, or no difference.
True or False: When testing a hypothesis using the P-value Approach, if the P-value is large, we reject the null hypothesis.
True or False: When testing a hypothesis using the Classical Approach, if the sample proportion is too many standard deviations from the proportion stated in the null hypothesis, we reject the null hypothesis.
A ________ is a statement regarding a characteristic of one or more populations.
When ________ observed results are unlikely under the assumption that the null hypothesis is true, we say the result is and we reject the null hypothesis.
The 114th Congress of the United States of America has 535 members, of which 108 are women. An alien lands near the U.S. Capitol and treats members of Congress as a random sample of the human race. He reports to his superiors that a 95% confidence interval for the proportion of the human race that
The procedure for constructing a t-interval is robust. Explain what this means.
What type of variable is required to construct a confidence interval for a population proportion?
According to Nielsen/NetRatings, the mean amount of time spent on MySpace.com per user per month in July 2014 was 171.0 minutes. A 95% confidence interval for the mean amount of time spent on MySpace.com monthly has a lower bound of 151.4 minutes and an upper bound of 190.6 minutes. What does this
Does chewing your food for a longer period of time reduce one’s caloric intake of food at dinner? A researcher requires a sample of 75 healthy males to chew their food twice as long as they normally do. The researcher then records the calorie consumption at dinner.Indicate whether a confidence
A researcher wanted to know whether consumption of green tea on a daily basis reduces LDL (bad) cholesterol. She obtains a random sample of 500 subjects. Each subject consumes at least 1 cup of green tea daily for 1 year. After 1 year, the researcher determines whether the subjects LDL cholesterol
Researchers at the Gallup Organization asked a random sample 1016 adult Americans aged 21 years or older, “Right now, do you think the state of moral values in the country as a whole is getting better, or getting worse?”Indicate whether a confidence interval for a proportion or mean should be
Indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variable of interest. Justify your response.A developmental mathematics instructor wishes to estimate the typical amount of time students dedicate to studying mathematics in a week. She asks a
The area under the t-distribution with 18 degrees of freedom to the right of t = 1.56 is 0.0681. What is the area under the t-distribution with 18 degrees of freedom to the left of t = -1.56? Why?
If H0: β1 = 0 is not rejected, what is the best estimate for the value of the response variable for any value of the explanatory variable?
State the requirements to perform inference on a simple least-squares regression line.
A researcher believes that as age increases, the grip strength (pounds per square inch, psi) of an individual€™s dominant hand decreases. From a random sample of 17 females, he obtains the following data.(a) Treating age as the explanatory variable, determine the estimates of
For what type of variable does it makes sense to construct a confidence interval about a population mean?
For what type of variable does it make sense to construct a confidence interval about a population proportion?
Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with μ = 100 and σ = 15. Explain your reasoning.(a) P(90 ≤ x ≤ 110) for a random sample of size n = 10.(b) P(90 ≤ x ≤ 110) for a random sample of
Explain what a sampling distribution is.
Consider the homeowners association presented at the beginning of this section. A random sample of 20 households resulted in 15 indicating that they would favor an increase in assessments. Explain why the normal model could not be used to determine if a sample proportion of 15/20 = 0.75 or higher
Describe the sampling distribution of p̂. Assume that the size of the population is 25,000 for each problem.n = 1010, p = 0.84
Describe the sampling distribution of p̂. Assume that the size of the population is 25,000 for each problem.n = 1000, p = 0.103
Describe the circumstances under which the shape of the sampling distribution of p̂ is approximately normal.
The standard deviation of the sampling distribution of x̅, σx̅, is called the ________ of the__________.
The ______ ______, denoted p̂, is given by the formula p̂ = ______ , where x is the number of individuals with a specified characteristic in a sample of n individuals.
Suppose a simple random sample of size n is drawn from a large population with mean μ and standard deviation σ.The sampling distribution of x̅ has mean μx̅ = and standard deviation σx̅ =_________.
In your own words, explain what a sampling distribution is.
In a town of 500 households, 220 have a dog. The population proportion of dog owners in this town (expressed as a decimal) is p = ______ .
The ___________ of the sample mean, x̅, is the probability distribution of all possible values of the random variable x̅ computed from a sample of size n from a population with mean μ and standard deviation σ.
Give three interpretations for the area under a normal curve.
Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.The relative frequency histogram represents the incubation times of a random sample of Rhode Island Red hens€™ eggs. Rhode Island Red Hen Incubation Times 0.20 0.15 0.10
Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.The relative frequency histogram represents the length of phone calls on my wife€™s cell phone during the month of September. Length of Phone Calls 0.40 0.30 0.20 0.10 0 2
Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.The relative frequency histogram represents the waiting times (in minutes) to ride the American Eagle Roller Coaster for 2000 randomly selected people on a Saturday afternoon in the
Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.The relative frequency histogram represents the birth weights (in grams) of babies whose term was 36 weeks. Birth Weights of Babies Whose Term Was 36 Weeks 0.4 0.35 0.3 - 0.25 0.2
Jane obtained a random sample of 15 college students and asked how many hours they studied last week. Is it reasonable to believe that hours studied is normally distributed? The normal probability plot is shown below and the correlation between hours studied and expected z-scores is 0.974. 2 1.5
Find the value of z0.20.
Find the value of z0.04.
True or False: A normal score is the expected z-score of a data value, assuming the distribution of the random variable is normal.
Use the figure to answer the questions that follow.(a) What is Î¼?(b) What is Ïƒ?(c) Suppose that the area under the normal curve to the right of x = 75 is 0.0668. Provide two interpretations for this area.(d) Suppose that the area under the normal curve between x = 50 and x
A random variable Z that is normally distributed with mean μ = 0 and standard deviation σ = 1 is said to have the ________.
A _________ is a graph that plots observed data versus normal scores.
Explain what “success” means in a binomial probability experiment.
(a) Construct a binomial probability distribution with the given parameters;(b) Compute the mean and standard deviation of the random variable using the methods of Section 6.1;(c) Compute the mean and standard deviation, using the methods of this section;(d) Draw a graph of the probability
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why.A baseball player who reaches base safely 30% of the time is allowed to bat until he reaches base safely for the third time. The number of
Determine whether the distribution is a discrete probability distribution. If not, state why.x P(x)100 ..................0.25200 ..................0.25300 ..................0.25400 ..................0.25500
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why.A basketball player who makes 80% of her free throws is asked to shoot free throws until she misses. The number of free throw attempts is
Determine whether the distribution is a discrete probability distribution. If not, state why.x P(x)100 ..............................0.1200 ............................0.25300
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why.Three cards are selected from a standard 52-card deck without replacement. The number of aces selected is recorded.
Determine whether the distribution is a discrete probability distribution. If not, state why.x P(x)10 .......................................0.120
State the condition required to use the Empirical Rule to check for unusual observations in a binomial experiment.
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why.A random sample of 30 cars in a used car lot is obtained, and their mileages recorded.
List all the combinations of five objects a, b, c, d, and e taken two at a time. What is 5C2?
Find the value of each combination.30C4
Find the value of each combination.48C3
Find the value of each combination.40C40
Find the value of each combination.52C1
Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why.A random sample of 15 college seniors is obtained, and the individuals selected are asked to state their ages.
According to a study conducted by CESI Debt Solutions, 80% of married people hide purchases from their mates. In a random sample of 20 married people, find and interpret:(a) The probability exactly 15 hide purchases from their mates.(b) The probability at least 19 hide purchases from their
What are the two requirements for a discrete probability distribution?
In computing classical probabilities, all outcomes must be equally likely. Explain what this means.
A certain digital music player randomly plays each of 10 songs. Once a song is played, it is not repeated until all the songs have been played. In how many different ways can the player play the 10 songs?
Suppose a mother already has three girls from three separate pregnancies. Does the fact that the mother already has three girls affect the likelihood of having a fourth girl? Explain.
If the 2015 Hyundai Genesis has 2 engine types, 2 vehicle styles, 3 option packages, 8 exterior color choices, and 2 interior color choices, how many different Genesis’s are possible?
List all the combinations of four objects a, b, c, and d taken two at a time. What is 4C2?
Todd is putting together an exercise routine and feels that the sequence of exercises can affect his overall performance. He has 12 exercises to select from, but only has enough time to do 9. How many different exercise routines could he put together?
An essay test in European History has 12 questions. Students are required to answer 8 of the 12 questions. How many different sets of questions could be answered?
List all the permutations of four objects a, b, c, and d taken two at a time without repetition. What is 4P2?
Explain what is meant by a subjective probability. List some examples of subjective probabilities.
List all the permutations of five objects a, b, c, d, and e taken two at a time without repetition. What is 5P2?
According to the American Veterinary Medical Association, the proportion of households owning a dog is 0.372. What is the probability that a randomly selected household owns a dog?
Find the value of each combination.12C3
According to the U.S. Department of Education, 42.8% of 3-year-olds are enrolled in day care. What is the probability that a randomly selected 3-year-old is enrolled in day care?
Find the value of each combination.10C2
If P(F) = 0.30, P(E or F) = 0.65, and P(E and F) = 0.15, find P(E).
Find the value of each combination.9C2
If P(E) = 0.60, P(E or F) = 0.85, and P(E and F) = 0.05, find P(F).
Find the value of each permutation.4P0
The sample space be S = {Chris, Adam, Elaine, Brian, Jason}. Suppose that the outcomes are equally likely.Suppose that E = {Adam}. Compute the probability of Ec.
True or False: Probability is a measure of the likelihood of a random phenomenon or chance behavior.
Suppose that you roll a pair of dice 1000 times and get seven 350 times. Based on these results, what is the probability that the next roll results in seven?
If two events E and F are independent, P(E and F) = _____ .
Suppose that E and F are two events and that N(E and F) = 420 and N(E) = 740. What is P(F/E)?
In probability, a(n) _________ is any process that can be repeated in which the results are uncertain.
Suppose events E and F are disjoint. What is P(E and F)?
Suppose that E and F are two events and that N(E and F) = 380 and N(E) = 925. What is P(F/E)?

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Fundamentals Of Statistics 5th Edition Michael Sullivan - Solutions

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