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Practice Final Exam 1
use the given data to construct a frequency distribution.
1) On a math test, the scores of 24 students were
95 76 74 68 74 74 95 83 74 81 81 76 76 81 74 76 81 74 76 83 76 81 83 68
Construct a frequency table and Histogram. Use 4 classes.
Use the given sample data to find the following: a) mean, b) median, c) mode, d) standard deviation 2) The weights (in ounces) of 14 different apples are shown below.
5.0 6.5 6.0 6.2 6.6 5.0 6.5 5.8 6.2 5.0 4.5 6.2 6.3 4.5
97 25 97 13 25 29 56 97
use the empirical rule to solve the problem.
At one college, GPA's are normally distributed with a mean of 3 and a standard deviation of 0.6. What percentage of students at the college have a GPA between 2.4 and 3.6?
Find the indicated probability.
In a batch of 8,000 clock radios 9% are defective. A sample of 10 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective.
What is the probability that the entire batch will be rejected?
Find the indicated probability.
A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 28 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 6% rate of defects, what is the probability of fewer than 3 defectives? Show answer below. (Attach the entire distribution to the exam)
Find the mean, µ, standard deviation, Η, and variance, Η^2, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth.
The given procedure DOES result in a binomial distribution. State specifically how and why this procedure satisfies all four conditions for a binomial distribution.
Rolling a single die 47 times, keeping track of the "fives" rolled.
Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 13) Shaded area is 0.9599.
Shaded area is 0.0901.
Provide an appropriate response.
Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).
Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The shaded area under the curve is 0.5675.
Find the indicated probability.
The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?
The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days?
Solve the problem.
Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.
Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F.
If 19 people are randomly selected, find the probability that their mean body temperature will be less than 98.50°F.
Solve the problem. Round the point estimate to the nearest thousandth.
32 randomly picked people were asked if they rented or owned their own home, 8 said they rented. Obtain a point estimate of the proportion of home owners.
50 people are selected randomly from a certain population and it is found that 12 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall?
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 23) 95% confidence; n = 2388, x = 1672
use the given data to find the minimum sample size required to estimate the population proportion. 24) Margin of error: 0.04; confidence level: 99%; from a prior study, p^ is estimated by 0.12.
Do one of the following, as appropriate: (a) Find the critical value z΅/2, (b) find the critical value t΅/2, (c) state that neither the normal nor the t distribution applies.
90%; n = 10; Η is unknown; population appears to be normally distributed.
Use the given information to find the minimum sample size required to estimate an unknown population mean µ.
Margin of error: $135, confidence level: 95%, Η = $500
How many business students must be randomly selected to estimate the mean monthly earnings of business students at one college? We want 95% confidence that the sample mean is within $128 of the population mean, and the population standard deviation is known to be $536.
Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution.
The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were:
10.5 9.9 8.2 11.0
6.7 11.0 10.8 12.4
Determine a 95% confidence interval for the mean time for all players.
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
Of 101 randomly selected adults, 35 were found to have high blood pressure. Construct a 95% confidence interval for the true percentage of all adults that have high blood pressure.
Use the confidence level and sample data to find a confidence interval for estimating the population µ. Round your answer to the same number of decimal places as the sample mean.
A group of 66 randomly selected students have a mean score of 22.4 with a standard deviation of 2.8 on a placement test. What is the 90% confidence interval for the mean score, µ, of all students taking the test?
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.
The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that Η is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb.
In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma. At the 0.05 significance level, test the claim that the proportion of all children in the town who suffer from asthma is 11%.
Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
The test statistic in a left- tailed test is z = - 1.83.
With H1: p J0.377, the test statistic is z = 3.06.
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.
Test the claim that for the population of female college students, the mean weight is given by µ = 132 lb. Sample data are summarized as n = 20, x = 137 lb, and s = 14.2 lb. Use a significance level of ΅= 0.1.
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim.
A cereal company claims that the mean weight of the cereal in its packets is 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below.
14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2
Test the claim at the 0.01 significance level.
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (µ, p, Η) for the indicated parameter.
Carter Motor Company claims that its new sedan, the Libra, will average better than 23 miles per gallon in the city. Use µ, the true average mileage of the Libra.
A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a standard deviation different from the Η = 3.3 mg claimed by the manufacturer.
Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
An entomologist writes an article in a scientific journal which claims that fewer than 3 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
A researcher claims that 62% of voters favor gun control. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
