Stats Unit 2

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True or False: A data set will always have exactly one mode.

False

a) Construct a relative frequency distribution of the data.

Never- 0.191 Rarely- 0.174 Sometimes- 0.425 Most of the time- 0.179 Always- 0.032

f) A local news broadcast reported that 14.8% of tickets purchased from the airline are for flights to San Diego. What is wrong with this statement?

No level of confidence is provided along with the estimate.

f) A local news broadcast reported that 7.7% of tickets purchased from the airline are for flights to San Diego. What is wrong with this statement?

No level of confidence is provided along with the estimate.

A national survey asked people, "How often do you eat out for dinner, instead of at home?" The frequencies were as follows. Complete parts (a) through (g).

Response-Frequency Never-405 Rarely-367 Sometimes-898 Most of the time-378 Always-67

An airline offers discounted flights from Atlanta to five American cities. Below is a frequency distribution of the number of tickets purchased for each location based on a random sample of purchased tickets. Complete parts (a) through (f).

Response-Frequency Las Vegas-1218 Orlando-1248 New York-859 Chicago-557 San Diego-672

An airline offers discounted flights from Atlanta to five American cities. Below is a frequency distribution of the number of tickets purchased for each location based on a random sample of purchased tickets. Complete parts (a) through (f).

Response-Frequency Las Vegas-1282 Orlando-863 New York-1000 Chicago-719 San Diego-321

a) Constructive relative frequency distribution of the data.

Response-Relative Frequency Las Vegas- 0.267 Orlando- 0.274 New York- 0.189 Chicago- 0.122 San Diego- 0.148

a) Constructive relative frequency distribution of the data.

Response-Relative Frequency Las Vegas- 0.306 Orlando- 0.206 New York- 0.239 Chicago- 0.172 San Diego- 0.077

Find the population mean or sample mean as indicated. Population: 4, 8, 11, 19, 18

u=12

c) d) Construct a frequency or relative frequency bar graph. Choose the correct answer below.

Graph

d) and e) choose correct graph

Graphs

c) What percentage of respondents answered "Never" or "Rarely"?

41.1%

b) What proportion of the tickets were for New York?

.239

b) What proportion of the tickets were for New York?

.189

b) What percentage of respondents answered "Always"?

2%

b) What percentage of respondents answered "Always"?

3.2%

c) What percentage of respondents answered "Never" or "Rarely"?

36.5%

A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The following data represents the strength of nine randomly selected casts (in psi). 3950, 4100, 3300, 3100, 2930, 3830, 4100, 4030, 3600

Compute the mean, median, and mode strength of concrete (in psi).

g) Suppose a person claims that, "2.0% of all people in the nation always eat out." Is this a description or inferential statement?

Inferential

g) Suppose a person claims that, "3.2% of all people in the nation always eat out." Is this a description or inferential statement?

Inferential

a) Construct a relative frequency distribution of the data.

Never- 0.156 Rarely- 0.255 Sometimes- 0.396 Most of the time- 0.173 Always- 0.02

e) Construct the pie chart. Choose the correct answer below.

Pie graph

f) choose correct pie graph

Pie graph

A national survey asked people, "How often do you eat out for dinner, instead of at home?" The frequencies were as follows. Complete parts (a) through (g).

Response-Frequency Never-372 Rarely-607 Sometimes-943 Most of the time-411 Always-48

For a large sporting event the broadcasters sold 52 ad slots for a total revenue of $145 million. What was the mean price per ad slot?

The mean price per ad slot was $2.8 million.

Compute the mean strength of the concrete. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The mean strength of the concrete is 3660 psi of pressure.

A histogram of a set of data indicates that the distribution of the data is skewed right. What measure of central tendency will likely be larger, the mean or the median? Why?

The mean will likely be larger because the extreme values in the right tail tend to pull the mean in the direction of the tail.

Compute the median strength of the concrete. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The median strength of the concrete is 3830 psi of pressure.

The median for the given set of six ordered data values is 30.5. 5, 12, 23, __, 41, 50 What is the missing value?

The missing value is 38.

Compute the mode strength of the concrete. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The mode strength of the concrete is 4100 psi of pressure.

For the histogram on the right determine whether the mean is greater than, less than, or approximately equal to the median. Justify your answer.

x<M because the histogram is skewed left.

Find the population mean or sample mean as indicated. Sample: 18, 8, 7, 13, 19

x=13


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