A travel agent prices their best-selling tour package on the basis of the costs associated with offerring that package. The mean cost is known to be 1978 USD. However, the travelagent suspects that due to market instability, the actual cost may have increased significantly. The company randomly selects 15 of their recent tour packages, and found themean cost to be 2174.67 USD with a standard deviation of 590 USD. A test was conducted at 5% level of significance to see if the agent's claim was valid.a. Calculate the value of the the appropriate test statistic for this test.Answer rounded to at least 2 decimal places.b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign)Answer rounded to at least 3 decimal places.c. Determine the p-value for this test.Answer in exact fraction, or rounded to at least 4 decimal places.

Given data : sample size, n =15 sample mean, x̄ = 2174.67 sample standard…

Answered: A travel agent prices their…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 110 whites surveyed, the mean life span was 48.2 years with a standard deviation of 11.2 years and of the 95 nonwhites, the mean life span was 39.3 years with a standard deviation of 16 years. Conduct a hypothesis test at the 0.05 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: Is it safe to assume thatnw≤5% of all white people born in 1900 andnnw≤5% of all nonwhite people born in 1900? No Yes Is nw≥30 and nnw≥30 ? No Yes Test the claim: Determine the null and alternative hypotheses. H0: μw μnw Ha: μw μnw Determine the test statistic. Round to four…
According to a recent report the battery life for a new line of laptop computers has a mean of 9 hours with a standard deviation of 2.4 hours. If battery life is normally distributed what percentage of new laptops will last between 8 and 11 hours on a single charge?
A researcher would like to estimate the mean amount of money that a family spends to within $75. If the amount spent by a family is considered to be normally distributed with a standard deviation of $412, what sample size would be necessary to be 93% confident?
A researcher collected data from Boston police officers and found that on average they spent 14.3 hours on in-service training per year with a standard deviation of 3.2. The department offers bonuses for officers in the top 10 percent on in-service training completed. Would the officer who did 22 hours of training get the bonus?
The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 800 and a standard deviation of 140. If a college requires a minimum score of 900 for admission, what percentage of student do not satisfy that requirement?
An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150. What would be the variance?
Two students were informed that they received standard z-scores of 0.9 and -0.5, respectively on a multiple-choice examination in Science. If their grades were 95 and 60, respectively, find the mean and standard deviation of the examination grades.
A survey reported that in a recent year, the mean serum cholesterol level in milligrams per deciliter for US adults was 204 with a standard deviation of 37. A random sample of 116 adults was chosen. Find the 33rd percentile of the sample mean.
A public health survey was carried out to estimate the total number of alcohol bottles consumed by the population of adults in a week at Kiwanja neighbourhood. The mean was found to be 16 bottles with a standard deviation of 4 bottles. The health authorities’ guidelines advise that it is healthy for people to consume fewer than 12 bottles a week. What proportion of the population did so? It is desirable to consume between 12 and 18 bottles of alcohol a week. What proportion of people was within this range? It is known that it is dangerous to consume more than 25 bottles a week. How many adults out of a sample of 200 over consumed alcohol?
A college in the northeastern United States used SAT scores to help decide which applicants to admit. To determine whether the SAT was useful in predicting success, the college examined the relationship between the SAT scores and first-year GPAs of admitted students. The average math SAT score of a sample of 200 randomly selected students was 649.5 with a standard deviation of 66.2. The average GPA of the same students was 2.63 with a standard deviation of 0.58. The correlation between GPA and math SAT score was 0.19. (a) What does the correlation of 0.19 tell us about SAT scores and GPA scores? (You need to provide two answers.)(b) Find the equation of the least squares regression line.(c) Using the equation, predict the GPA score of a person with a math SAT score of 650.(d) Using the equation, predict the GPA score for a person with a math score of 800.
A sample of 75 will be drawn from a population of test takers with a mean of 150 and standard deviation 9. Find the 85th percentile.
According to a study of TV viewing habits, the average number of hours an American over the age of 2 watches TV per week is 44. The population standard deviation is 16 hours. If a sample of 64 Americans over the age of 2 are randomly selected, what is the standard error of the mean?

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