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Chapter 02, Section 2. Construct a frequency distribution table for these data using single-valued classes. Calculate the relative frequency and percentage for each class. Round your answers for relative frequencies to three decimal places and your answers for percentages to one decimal place. The following data give the times in minutes taken by 50 students to complete a statistics examination that was given a maximum time of 75 minutes to finish. Prepare a stem-and-leaf display for these data. Arrange the leaves for each stem in increasing order. Type only digits without spaces, commas, etc. Prepare a split stem-and-leaf display for the data. Split each stem into two parts. The first part should contain the leaves 0, 1, 2, 3, and 4, and the second part should contains the leaves 5, 6, 7, 8, and 9.
Which display the one in part a or the one in part b provides a better representation of the features of the distribution? Find a cumulative frequency distribution, the cumulative relative frequency and cumulative percentage for each class. What is the cumulative frequency for "0 to less than 16"? Find the cumulative relative frequency for "0 to less than 12". Round answer to three decimal places. What is the cumulative percentage for "0 to less than 20"? Using similar calculations to the steps above, find the percentage of customers who purchased less than 8 gallons. Use the following data to construct a frequency table, using classes of [60, 65 , [65, 70 , etc.
The salary distribution is approximately bell-shaped. About A positive linear or curvilinear relationship No relationship A negative curvilinear relationship A negative linear relationship The study of statistics can be defined as: the art and science of getting information from data. All of the answers the language of data. In the accompanying stem-and-leaf diagram, the values in the stem and leaf portions represent 10s and 1s digits, respectively. How should the manager communicate those results to the store owner? Provide the complete data set and all statistical analyses to the owner in spreadsheets. Schedule a conference call with the owner and suppliers to discuss online ordering options. Project the future online sales data using a line graph. Summarize the recommendations, supported by visual representation of the data and statistics.
Which of the following can be represented by a continuous random variable? The number of typos found on a randomly selected page of this test bank The number of customers who visit a department store between a. Due to budget limitations, it has been decided that the teachers who are in the top 2. What is the salary level that divides the teachers into one group that gets a raise and one that doesn't? A population contains 10 members under the age of 25 and 20 members over the age of The sample will include six people chosen at random, without regard to age. The sample will include two people chosen at random under the age of 25 and four people chosen at random over The sample will include six males chosen at random, without regard to age. The sample will include six people who volunteer for the sample. The manager has daily guest counts, sales data, and staff hours for the prior year. What should the manager do next in order to reach conclusions about scheduling restaurant staff?
Perform descriptive statistics, inferential statistics, and time series analysis. Schedule staff based on the staffing levels used on the same date the prior year. Create a graph of the data and extend the graph forward in time to set the schedule. They plan to survey a sample of its customer base. What will A-Plus need to do to ensure that their data is valid and reliable? The survey must include items that ask customers to rate the appearance of the dry cleaning store, the survey must include all customers, and the survey method must include setting up a table outside the local dollar store. All pages:.
The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2. What is the critical value of z for the hypothesis test? In a game of four-handed Hearts, all 52 cards of a standard deck are dealt, so that each player starts each round with 13 cards in a hand. What is the relative frequency of spades, rounded to two decimal places, dealt to player A? Two events are independent if the occurrence of one event: 9. For a goodness-of-fit test, the frequencies obtained from the performance of an experiment are the: Which of the following pairs of events are mutually exclusive?
The null hypothesis for this example will be that the population mean is: A qualitative variable is the only type of variable that: For the one-tailed test, the p-value is: The alternative hypothesis is a claim about a: In a hypothesis test, a Type I error occurs when: A continuous random variable x has a right-skewed distribution with a mean of 80 and a standard deviation of The sampling distribution of the sample mean for a sample of 50 elements taken from this population is: Two paired or matched samples would imply that: The mean of a discrete random variable is its: An error that occurs because of chance is called: A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The alternative hypothesis for this example will be that the population mean is: For small degrees of freedom, the chi-square distribution is: A sample of 16 from a population produced a mean of A sample of 18 from another population produced a mean of Assume that the two populations are normally distributed and the standard deviations of the two populations are equal.
The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater that the man of the second population. What is the critical value of t for the hypothesis test? If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the dividend is the: You toss a coin nine times and observe 3 heads and 6 tails. This event is a: We can use the analysis of variance procedure to test hypotheses about:
In a game of four-handed Hearts, all 52 cards of a standard deck are dealt, so that each player starts each round with 13 cards in a hand. What is the relative frequency of spades, rounded to two decimal places, dealt to player A? A quantitative variable is the only type of variable that can: have no intermediate values assume numeric values for which arithmetic operations make sense be graphed be used to prepare tables 4. Which of the following pairs of events are mutually exclusive? Female and no Female and male Male and yes Female and yes 5. If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the dividend is the: sampling distribution sample distribution sample mean sample proportion 6. For small degrees of freedom, the chi-square distribution is: rectangular skewed to the left symmetric skewed to the right 7. For a goodness-of-fit test, the frequencies obtained from the performance of an experiment are the: observed frequencies objective frequencies subjective frequencies expected frequencies 8.
In a hypothesis test, a Type I error occurs when: a false null hypothesis is rejected a true null hypothesis is rejected a false null hypothesis is not rejected a true null hypothesis is not rejected 9. To make tests of hypotheses about more than two population means, we use the: chi-square distribution t distribution analysis of variance distribution normal distribution A linear regression: gives a relationship between two variables that cannot be described by a line gives a relationship between two variables that can be described by a line contains only two variables gives a relationship between three variables that can be described by a line A continuous random variable x has a right-skewed distribution with a mean of 80 and a standard deviation of The sampling distribution of the sample mean for a sample of 50 elements taken from this population is: not normal skewed to the right approximately normal skewed to the left Two paired or matched samples would imply that: two data values are collected from the same source elements for two independent samples data are collected on two variables from the elements of two independent samples two data values are collected from the same source elements for two dependent samples data are collected on one variable from the elements of two independent samples We can use the analysis of variance procedure to test hypotheses about: two or more population means two or more population proportions the proportion of one population the mean of one population Two events are independent if the occurrence of one event: does not affect the probability of the occurrence of the other event.
The p-value is the: smallest significance level at which the null hypothesis can be rejected largest significance level at which the null hypothesis can be rejected smallest significance level at which the null hypothesis cannot be rejected largest significance level at which the alternative hypothesis can be rejected A sample of 16 from a population produced a mean of A sample of 18 from another population produced a mean of Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the man of the second population.
What is the critical value of t for the hypothesis test? In a hypothesis test, a Type II error occurs when: a true null hypothesis is not rejected a true null hypothesis is rejected a false null hypothesis is rejected a false null hypothesis is not rejected In a survey regarding job satisfaction in a sample of female job-holders stated that they are satisfied with their jobs, while in a sample of male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2. What is the critical value of z for the hypothesis test? A qualitative variable is the only type of variable that: can assume an uncountable set of values can assume numerical values cannot be graphed cannot be measured numerically For a one-tailed test, the p-value is: the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis the area under the curve between the mean and the observed value of the sample statistic twice the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis twice the area under the curve between the mean and the observed value of the sample statistic The alternative hypothesis is a claim about a: parameter, where the claim is assumed to be true if the null hypothesis is declared false parameter, where the claim is assumed to be true until it is declared false statistic, where the claim is assumed to be true if the null hypothesis is declared false statistic, where the claim is assumed to be false until it is declared true The populations from which the samples are drawn have the same variance.
The samples drawn from different populations are random and independent. The populations from which the samples are drawn are approximately normally distributed. All samples are of the same size. An error that occurs because of chance is called: sampling error nonsampling error probability error mean error A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The alternative hypothesis for this example will be that the population mean is: not equal to 30 minutes less than 30 minutes less than or equal to 30 minutes equal to 30 minutes The mean of a discrete random variable is the mean of its: frequency distribution probability distribution second and third quartiles percentage distribution The mean of a discrete random variable is its: box-and-whisker measure second quartile upper hinge expected value.
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