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In a study, the data from a random sample of a population had a mean of 37, with an associated margin of error of 3. Which of the following is the most appropriate conclusion that can be made about the population mean?
Math
Problem-Solving and Data Analysis
A store manager reviewed the receipts from 80 customers who were selected at random from all the customers who made purchases last Thursday. Of those selected, 20 receipts showed that the customer had purchased fruit. If 1,500 customers made purchases last Thursday, which of the following is the most appropriate conclusion?
Math
Problem-Solving and Data Analysis
To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is 0.49. As with an associated margin of error of 0.04. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?
Math
Problem-Solving and Data Analysis
For a particular machine that produces beads, 29 out of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has a defect?
Math
Problem-Solving and Data Analysis
During a sale, the original prices of all the items in a clothing store have been reduced by 20%. What is the sale price of a jacket with an original price of $50 ?
Math
Problem-Solving and Data Analysis
In State X, Mr. Camp's eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth-grade class size in the state is 26. If the students in Mr. Camp's class are representative of students in the state's eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth-grade students in the state who have fewer than two siblings?
Math
Problem-Solving and Data Analysis
A fish hatchery has three tanks for holding fish before they are introduced into the wild. Ten fish weighing less than 5 ounces are placed in tank
Math
Problem-Solving and Data Analysis
A survey was given to residents of all 50 states asking if they had earned a bachelor's degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was 26.95%. What is the difference between the median percent of residents who earned a bachelor's degree or higher for these 7 states and the median for all 50 states?
Math
Problem-Solving and Data Analysis
Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet per person, what is the maximum number of people that could attend this event?
Math
Problem-Solving and Data Analysis
A waiter receives tips from each customer. On average, the tip is 15% of the customer's bill. At this rate, which of the following is closest to the tip the waiter can expect when a customer has a bill that is $78.20?
Math
Problem-Solving and Data Analysis
There were approximately 113,000 occupational therapy jobs in the United States in 2012. The Bureau of Labor Statistics has projected that this number will increase by 29% from 2012 to 2022. Of the following, which is closest to the number of occupational therapy jobs the bureau has projected for the United States in 2022?
Math
Problem-Solving and Data Analysis
To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?
Math
Problem-Solving and Data Analysis
$\begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{6}{|c|}{Call Ratings} \\ \hline & 1 Star & 2 Stars & 3 Stars & 4 Stars & Total \\ \hline Employee A & 16 & 49 & 72 & 8 & 145 \\ \hline Employee B & 4 & 10 & 22 & 34 & 70 \\ \hline Employee C & 8 & 56 & 45 & 16 & 125 \\ \hline Employee D & 22 & 42 & 84 & 12 & 160 \\ \hline Total & 50 & 157 & 223 & 70 & 500 \\ \hline \end{tabular}$
A supervisor at a call center reviewed 500 calls taken by four employees and rated the employees' performance on each call on a scale from 1 star to 4 stars. The ratings for each employee are shown in the table above. According to the table, to the nearest whole percent, what percent of Employee A's calls received a rating of 1 star?
Math
Problem-Solving and Data Analysis
Based on a random sample from a population, a researcher estimated that the mean value of a certain variable for the population is **20.5**, with an associated margin of error of **1**. Which of the following is the most appropriate conclusion?
Math
Problem-Solving and Data Analysis
Data set F consists of 55 integers between 170 and 290. Data set G consists of all the integers in data set F as well as the integer 10. Which of the following must be less for data set F than for data set G?
I. The mean
II. The median
Math
Problem-Solving and Data Analysis
The equation above can be used to calculate the distance $d$, in miles, traveled by a car moving at a speed of 55 miles per hour over a period of $t$ hours. For any positive constant $k$, the distance the car would have traveled after $9k$ hours is how many times the distance the car would have traveled after $3k$ hours?
Math
Problem-Solving and Data Analysis
The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that time?
Math
Problem-Solving and Data Analysis
Tilly earns $p$ dollars for every $w$ hours of work. Which expression represents the amount of money, in dollars, Tilly earns for $39w$ hours of work?
Math
Problem-Solving and Data Analysis
The table below shows the distribution of US states according to whether they have a state-level sales tax and a state-level income tax.
2013 State-Level Taxes
State sales tax
No state sales tax
State income tax
39
4
No state income tax
6
1
To the nearest tenth of a percent, what percent of states with a state-level sales tax do not have a state-level income tax?
Math
Problem-Solving and Data Analysis
The table above gives the number of United States presidents from 1789 to 2015 whose age at the time they first took office is within the interval listed. Of those presidents who were at least 50 years old when they first took office, what fraction were at least 60 years old?
10
Math
Problem-Solving and Data Analysis
Near the end of a US cable news show, the host invited viewers to respond to a poll on the show's website that asked, "Do you support the new federal policy discussed during the show?" At the end of the show, the host reported that 28% responded "Yes," and 70% responded "No." Which of the following best explains why the results are unlikely to represent the sentiments of the population of the United States?
Math
Problem-Solving and Data Analysis
The table above shows the land area, in square kilometers, of the five smallest countries of the world in 2016. Based on the table, what is the mean land area of the 5 smallest countries in 2016, to the nearest square kilometer?
Math
Problem-Solving and Data Analysis
Lani spent 15% of her 8-hour workday in meetings. How many minutes of her workday did she spend in meetings?
Math
Problem-Solving and Data Analysis
According to the 2010 Census, the adult population aged 18 years or greater of the United States in 2010 was 234,564,07
Math
Problem-Solving and Data Analysis
sabel grows potatoes in her garden. This year, she harvested 760 potatoes and saved 10% of them to plant next year. How many of the harvested potatoes did lsabel save to plant next year?
Math
Problem-Solving and Data Analysis
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