Do single-parent families tend to be more impoverished than familics with two parents? In to test if there is a relationship between family structure and family income level, family rescarcher studied a sample of 35 one-parent and 65 two-parent families in a particular city determine whether their total family income fell below the poverty level. Family Structure Total Family One Parent Two Parents Income Below poverty level Not below poverty level 24 20 11 45

If there are 13 data points in a set of data, what is the number of degrees of freedom?

The prices of 10 different backpacks at a store are listed below. $18, $18, $18, $18, $18, $18, $18, $18, $50, $50 Which statistical measure provides the best information about the typical price of a backpack at the store? A mean 3 mode maximum range CAde Safware Ine. All righta reserved.

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of cars each of the cars types. The data below displays the frontal crash test performance percentages. Test whether there are statistical differences in the frontal crash test performance for each type of car.   Car Sizes Compact Cars Midsize Cars Full-Size Cars 95 95 93 98 98 97 87 98 92 99 89 92 99 94 84 94 88 87 99 93 88 98 99 89 What conclusions can we draw from the follow-up t-tests?   There is/are a total of  ______ statistically significant difference(s) between car type pairs out of the follow-up t-tests.  Options: a) 1 b) 2  c) 3 d) 4 e) 5 f) 6

You may need to use the appropriate technology to answer this question. The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study. Reputation of Company Quality of Management Excellent Good Fair Excellent 40 25 8 Good 35 35 10 Fair 25 10 12 (a) Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company. State the null and alternative hypotheses. O H: Quality of management is independent of the reputation of the company. H: Quality of management is not independent of the reputation of the company. O H: Quality of management is independent of the reputation of the H: The proportion of companies…

The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test range from 00 to 500.500. Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem‑and‑leaf plot. In 2019, 147,400147,400 eighth‑graders were in the NAEP sample for the mathematics test. The mean mathematics score was ?⎯⎯⎯=282.x¯=282. We want to estimate the mean score ?μ in the population of all eighth‑graders. Consider the NAEP sample as an SRS from a Normal population with standard deviation ?=40. According to the 9595 part of the 68-95-99.768-95-99.7 rule, 95%95% of all values of ?⎯⎯⎯x¯ fall within how many points on either side of the unknown mean ??μ? Give your answer to four decimal places.

How to identify Mode, median, and mean in positively and negatively skeweddistributions?

A psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations.  The following are the indices measured on a random sample of 16 children attending elementary school in a particular district.   48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57   For the data the mean index is 60.69 and the standard deviation is 8.26. The confidence interval is 95%, with a level of significance of 0.05. Perform a statistical test to determine if the population mean index is greater than 50. a) Name of hypothesis test:   b) H0:   c) HA:   d) Test Statistic:   e) Rejection region:   f) Decision in the context of the problem:

A business reports that their average salary is over $91,000, the simple mean of the salaries listed in the chart. Alternatively, instead of a simple mean, the business could report the median, or the mode. Which would be the most useful to someone deciding whether to apply for an entry level job at this business? Job Number of Employees Salary Line workers 10 $30,000 Office manager 1 $45,000 CEO 1 $200,000 Select one: a. Simple mean is best b. Simple mean and median are nearly equal numerically. They are equally good for this purpose and better than the other options. O c. Simple mean and mode are equally good for this purpose and better than the other options. d. Median and mode are about equally good for this purpose and better than other options.

Bank of America's Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of 42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2) Using the difference data, the sample mean difference was d = $850, and the sample standard deviation was så = $1,123. a. Formulate the null and alternative hypotheses to test for no difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out. Ho : μα ♦ Select your answer - Ha d + - Select your answer - b. Use a = = 0.05 level of significance. Can you conclude that the population means differ? - Select your answer - ◆ What is the p-value? (to 6 decimals) c.…