Use the following information to answer the next five exercises: The standard deviation of the weights of elephants is known to be approximately 15 pounds. Fifty newborn elephants are weighed. The sample mean is pounds.

The sample standard deviation is 11 pounds. State the confidence interval, sketch the graph, and calculate the error bound. What will happen to the confidence interval obtained, if newborn elephants are weighed instead of 50?

Use the following information to answer the next seven exercises: The U. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys people. The sample mean is 8. There is a known standard deviation of 2. The population distribution is assumed to be normal. If the Census wants to increase its level of confidence and keep the error bound the same by taking another survey, what changes should it make?

If the Census did another survey, kept the error bound the same, and surveyed only 50 people instead ofwhat would happen to the level of confidence? Would the Census have to survey more people? Why or why not? Use the following information to answer the next ten exercises: A sample of 20 heads of lettuce was selected.

Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2. The population standard deviation is known to be 0. What would happen if 40 heads of lettuce were sampled instead of 20, and the error bound remained the same?

What would happen if 40 heads of lettuce were sampled instead of 20, and the confidence level remained the same? Use the following information to answer the next 14 exercises: The mean age for all Foothill College students for a recent Fall term was The population standard deviation has been pretty consistent at Suppose that twenty-five Winter students were randomly selected.

The mean age for the sample was We are interested in the true mean age for Winter Foothill College students. As a result of your answer to 25, state the exact distribution to use when calculating the confidence interval. How much area is in each tail? Fill in the blanks on the graph with the areas, upper and lower limits of the confidence interval, and the sample mean.

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Using the same mean, standard deviation, and level of confidence, suppose that n were 69 instead of Would the error bound become larger or smaller?

How do you know? Among various ethnic groups, the standard deviation of heights is known to be approximately three inches.In a certain class of students, there are 11 boys from Wilmette, 6 girls from Winnetka, 7 girls from Wilmette, 4 boys from Glencoe, 2 boys from Winnetka and 9 girls from Glenoce.

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If the teacher calls upon a student to answer a question, what is the probability that the student will be a boy? The diameters of bolts produced by a certain machine are normally distributed with a mean of 0. What percentage of bolts will have a diameter greater than 0. A sample of wood and graphite tennis rackets are taken from the warehouse. If 9 wood and 14 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.

What is the probability that 6 adults selected at random from the town all have health insurance A 0. Assume that a hypothesis test of the given claim will be conducted.

## Probability — practice test 4C

Identify the type I or type II error for the test. A cereal company claims that the mean weight of the cereal in its packets is 14 oz. Identify the type I error for the test. A Reject the claim that the mean weight is 14 oz when it is actually greater than 14 oz. B Reject the claim that the mean weight is 14 oz when it is actually 14 oz.

C Reject the claim that the mean weight is different from 14 oz when it is actually 14 oz. D Fail to reject the claim that the mean weight is 14 oz when it is actually different from 14 oz.

Use the given data to find the equation of the regression line. The probability that z lies between Find the mean for the number of students who work full time in samples of size A student earned grades of 91, 76, 92, and 79 on her four regular tests. She earned a grade of 79 on the final exam and 85 on her class projects. Her combined homework grade was What is her weighted mean grade?

Round to one decimal place. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 95 inches, and a standard deviation of 16 inches.

What is the probability that the mean annual precipitation during 64 randomly picked years will be less than If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was and Upstate Airlines flight. Suppose flights are randomly selected. Find the probability that few than flights are on time. Suppose flights are randomly selected and the number of on time flights is recorded. Determine if you should use the Binomial model or Normal model to solve this problem.

Express the indicated degree of likelihood as a probability value between 0 and 1 3 A certain company reduced its management staff from 20 managers to The company claimed.

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A box contains five numbered balls 1,2,2,3 and 4. We will randomly select two balls from the box without replacement. List the complete sample space of outcomes.

Find probability of getting outcome of heads and a five when a coin is tossed and a single die is rolled. If 5 different organizations. Among 15, Delta airline passengers randomly selected, 3 were bumped from a flight against there wishes based on data from the us dept of transportation find the probability that a random selected passenger is involuntarily bumped. Is such bumping. Scores on a visual perception test are normally distributed with a mean of and a standard deviation of Based on data from the National Health and Nutrition Examination Survey assume that the weights of men are normally distributed with a mean of lbs.

Find the probability that a man randomly selected from the above. Is the water on your airline flight safe to drink? It is not feasible to analyze the water on every flight, so sampling is necessary. In August and September the EPA found bacterial contamination in water samples from the lavatories and gallery water.

IQ scores in a certain population are normally distributed with a mean of 96 and a standard deviation of Give your answers correct to four decimal places. Test scores on a university admissions test are normally distributed, with a mean of and a standard deviation of What is the probability that a randomly selected applicant scores between and ?

What is the probability that a randomly. Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of and a standard deviation of A card is selected at random from a standard deck of cards. Find the probability of randomly selecting a king given that an ace has already been selected. Suppose that the birth weight of newborn babies in the U. S is normally distributed with a mean of 7 pounds and a standard deviation of 1. Let the random variable X be the birth weight of a randomly selected record of live birth.

What is the probability that. A bookshelf contains 9 mysteries, 7 biographies, and 4 science fiction books. A book is randomly selected, not replaced, then another is selected.On-Time Flights According to flightstats. Suppose 15 flights are randomly selected, and the number of on-time flights is recorded. According to an? Randomly select flights and use the normal approximation to the binomial to a Questions Courses.

Jun 17 AM. Do you need an answer to a question different from the above? Ask your question! Help us make our solutions better. We want to correct this solution. Tell us more. Was the final answer of the question wrong? Were the solution steps not detailed enough? Was the language and grammar an issue?

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We appreciate your Feedback Stay Solved :. Didn't find yours? Ask a new question Get plagiarism-free solution within 48 hours. Review Please. Next Previous. Related Questions. Posted 5 months ago. You have been commissioned by the Australian Government to develop a survey that will gauge the The Government intends to use the results of your survey to assist in the formulation Posted 8 days ago.

Data was extracted from inpatients with diabetes who attended an Emergency department ED Data was extracted from inpatients with diabetes who attended an Emergency department ED of a Sydney hospital between and The data included information on demography stay number, age, age in category, gendertrauma severity, Posted 13 days ago. What is the median? Consider the following set of numbers: The times, in seconds, taken by 11 students to solve a puzzle are listed in order 7, 12, 13, 17, 18, 20, 22, 24, 25, 30, Posted 7 days ago.Why do we have to use "combinations of n things taken x at a time" when we calculate binomial probabilities?

Question 3a8c6. What defines a binomial distribution? What is a binomial distribution? What is the difference between binomial distribution and Poisson distribution? What is the probability of getting 7 heads and 7 tails with 14 coin flips?

What is the general formula for the variance and mean of a binomial distribution? What is the difference between a normal and binomial distribution? Is a binomial distribution supposed to be symmetrical? An electrical retailer receives a shipment of DVD players every day. The probability that a shipment contains a defective player is 0.

What is the probability that only two shipments contain a defective player in a given week? How does the binomial distribution differ from the Poisson distribution? Why can a binomial distribution be used to model the results of a coin toss?

How is a binomial distribution different from a Bernoulli distribution? Half of the passengers who travel on a train buy the 'Daily Boom' before boarding.

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The train is full and each compartment holds 8 passenger. What is the probability that all the passengers in the compartment have bought the 'Daily Boom'? A fair coin is tossed 60 times. Using the normal approximation to the binomial distribution, what is the probability that a head will show between 32 and 36 times inclusive? How do you find the probability that she got seven correct? How do you find the probability that she got at least half correct?

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If 8 randomly chosen students take the placement test, what is the probability that exactly 2 of them will have to take remedial arithmetic? Alexis rolls an 8-sided die 24 times. What is the probability a "five" is rolled at least 4 times, but no more than 18 times?

Two urns are given. The first one contains two white balls and 3 black ones and the second contains one white ball and 4 red ones. What is the probability that the ball drawn from the second urn is red? A government's department of transportation reported that in Airline A led all domestic airlines in on-time arrivals for domestic flights, with a rate of What is the probability that in the next 6 flights, 4 flights will be on time?

What is the probability that in the next 6 flights, all 6 flights will be on time? What is the probability of 4 successes for a binomial experiment consisting of 11 trials with probability 0. Ten math majors are chosen at random. What is the probability that exactly 2 are women? How do you find the mean and the variance?

In a survey of people, people said they voted in a recent presidential election. What is the probability that x is 15 or less? A student picks a teacher at random.If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was and Upstate Airlines flight. Are you studying Markov's chains? Not absolutely sure about this. First Name. Suppose flights are randomly selected. Find the probability that few than flights are on time.

Suppose flights are randomly selected and the number of on time flights is recorded. Determine if you should use the Binomial model or Normal model to. Express the indicated degree of likelihood as a probability value between 0 and 1 3 A certain company reduced its management staff from 20 managers. A box contains five numbered balls 1,2,2,3 and 4. We will randomly select two balls from the box without replacement. List the complete sample space. Find probability of getting outcome of heads and a five when a coin is tossed and a single die is rolled.

Among 15, Delta airline passengers randomly selected, 3 were bumped from a flight against there wishes based on data from the us dept of transportation find the probability that a random selected passenger is involuntarily. Scores on a visual perception test are normally distributed with a mean of and a standard deviation of More Similar Questions. Statistics A box contains five numbered balls 1,2,2,3 and 4.

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List the complete sample space asked by Randy on March 12, Statistics Find probability of getting outcome of heads and a five when a coin is tossed and a single die is rolled. If 5 asked by David on December 5, Stats Among 15, Delta airline passengers randomly selected, 3 were bumped from a flight against there wishes based on data from the us dept of transportation find the probability that a random selected passenger is involuntarily asked by Help please!

Ask a New Question.By Deborah J. If your statistical sample has a normal distribution Xthen you can use the Z -table to find the probability that something will occur within a defined set of parameters. For example, you could look at the distribution of fish lengths in a pond to determine how likely you are to catch a certain length of fish.

Shade in the area on your picture. Look up the z -score on the Z -table see below and find its corresponding probability. Find the row of the table corresponding to the leading digit ones digit and first digit after the decimal point the tenths digit.

Find the column corresponding to the second digit after the decimal point the hundredths digit. The probability that X is equal to any single value is 0 for any continuous random variable like the normal. Suppose, for example, that you enter a fishing contest.

The contest takes place in a pond where the fish lengths have a normal distribution with mean. Problem 2: Suppose a prize is offered for any fish over 24 inches.

To solve these problems using the above steps, first draw a picture of the normal distribution at hand. You can see where the numbers of interest 8, 16, and 24 fall. Next, translate each problem into probability notation. Now that you have changed x- values to z- values, you move to Step 4 and calculate probabilities for those z- values using the Z- table. The probability of a fish being less than 8 inches is equal to 0. So, the probability that a fish is greater than 24 inches is also 0.

Note: The answers to Problems 1 and 2 are the same because the Z- distribution is symmetric; refer to the first figure. Subtract them to get 0. The probability of a fish being between 16 and 24 inches is 0. The Z -table does not list every possible value of Z; it just carries them out to two digits after the decimal point. Use the one closest to the one you need.