Question

The accompanying data are the percentage of babies born prematurely in a particular year for the 50 U.S. states and the District of Columbia (DC).

State | Premature Percent |
State | Premature Percent |
State | Premature Percent |
---|---|---|---|---|---|

Alabama | 11.4 | Kentucky | 10.4 | North Dakota | 8.1 |

Alaska | 8.2 | Louisiana | 12.0 | Ohio | 10.0 |

Arizona | 8.7 | Maine | 8.1 | Oklahoma | 10.0 |

Arkansas | 9.7 | Maryland | 9.8 | Oregon | 7.4 |

California | 8.0 | Massachusetts | 8.3 | Pennsylvania | 9.1 |

Colorado | 8.1 | Michigan | 9.5 | Rhode Island | 8.3 |

Connecticut | 8.9 | Minnesota | 8.4 | South Carolina | 10.5 |

Delaware | 9.0 | Mississippi | 12.6 | South Dakota | 8.2 |

DC | 9.3 | Missouri | 9.5 | Tennessee | 10.5 |

Florida | 9.6 | Montana | 9.0 | Texas | 10.1 |

Georgia | 10.5 | Nebraska | 8.8 | Utah | 8.8 |

Hawaii | 9.7 | Nevada | 9.8 | Vermont | 7.6 |

Idaho | 7.9 | New Hampshire | 7.9 | Virginia | 8.9 |

Illinois | 9.8 | New Jersey | 9.3 | Washington | 7.8 |

Indiana | 9.4 | New Mexico | 8.9 | West Virginia | 10.5 |

Iowa | 9.0 | New York | 8.6 | Wisconsin | 8.9 |

Kansas | 8.4 | North Carolina | 9.4 | Wyoming | 10.9 |

(a)

The smallest value in the data set is 7.4 (Oregon), and the largest value is 12.6 (Mississippi). Are these values outliers? Explain.

Any observations smaller than % or larger than % are considered outliers. Therefore, Oregon's data value (7.4%) ---Select--- is is not an outlier and Mississippi's data value (12.6%) ---Select--- is is not an outlier.

(b)

Construct a boxplot for this data set.

The box-and-whisker plot has a horizontal axis numbered from 7 to 13. The box-and-whisker is also horizontal. The left whisker is approximately 7.4, the left edge of the box is approximately 8.3, the line inside the box is approximately 9, the right edge of the box is approximately 9.8, and the right whisker is approximately 12. There is one outlier located at 12.6.

The box-and-whisker plot has a horizontal axis numbered from 7 to 13. The box-and-whisker is also horizontal. The left whisker is approximately 7.9, the left edge of the box is approximately 8.8, the line inside the box is approximately 9, the right edge of the box is approximately 9.3, and the right whisker is approximately 12.1. There are 2 outliers located at 7.4 and 12.6.

The box-and-whisker plot has a horizontal axis numbered from 7 to 13. The box-and-whisker is also horizontal. The left whisker is approximately 7.4, the left edge of the box is approximately 8.3, the line inside the box is approximately 9, the right edge of the box is approximately 9.8, and the right whisker is approximately 12.6.

The box-and-whisker plot has a horizontal axis numbered from 7 to 13. The box-and-whisker is also horizontal. The left whisker is approximately 7.9, the left edge of the box is approximately 8.3, the line inside the box is approximately 9, the right edge of the box is approximately 9.8, and the right whisker is approximately 12.6. There is one outlier located at 7.4.

Comment on the interesting features of the plot.

The boxplot shows ---Select--- no outliers one outlier two outliers and the distribution is ---Select--- negatively skewed approximately symmetric positively skewed . The minimum value is %, the lower quartile is %, the median is %, the upper quartile is %, and the maximum value is %.

Answer #1

(a)

The smallest value in the data set is 7.4 (Oregon), and the largest value is 12.6 (Mississippi). Are these values outliers? Explain.

Any observations smaller than 6.175% or larger than 11.975% are considered outliers. Therefore, Oregon's data value (7.4%) is not an outlier and Mississippi's data value (12.6%) is an outlier.

(b)

Construct a boxplot for this data set.

Comment on the interesting features of the plot.

The boxplot shows two outliers and the distribution is positively skewed . The minimum value is 7.4%, the lower quartile is 8.35%, the median is 9%, the upper quartile is 9.8%, and the maximum value is 12.6%.

An important statistical measurement in service facilities (such
as restaurants and banks) is the variability in service times. As
an experiment, two bank tellers were observed, and the service
times for each of 100 customers were recorded. Do these data allow
us to infer at the 5% significance level that the variance in
service times differs between the two tellers? Estimate with 95%
confidence the ratio of variances of the two bank tellers. Teller 1
Teller 2 7.2 10.9 5.4...

Consider the accompanying data on flexural strength (MPa) for
concrete beams of a certain type.
5.8
7.2
7.3
6.3
8.1
6.8
7.0
7.4
6.8
6.5
7.0
6.3
7.9
9.0
8.4
8.7
7.8
9.7
7.4
7.7
9.7
8.1
7.7
11.6
11.3
11.8
10.7
The data below give accompanying strength observations for
cylinders.
6.8
5.8
7.8
7.1
7.2
9.2
6.6
8.3
7.0
8.5
7.5
8.1
7.4
8.5
8.9
9.8
9.7
14.1
12.6
11.8
Prior to obtaining data, denote the beam strengths by...

Consider the accompanying data on flexural strength (MPa) for
concrete beams of a certain type
6.0 7.2 7.3 6.3 8.1 6.8 7.0 7.5 6.8 6.5 7.0 6.3 7.9 9.0 9.0 8.7
7.8 9.7 7.4 7.7 9.7 8.2 7.7 11.6 11.3 11.8 10.7
The data below give accompanying strength observations for
cylinders.
6.1 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.5 7.5 8.1 7.4 8.5 8.9 9.8
9.7 14.1 12.6 11.9
Prior to obtaining data, denote the beam strengths by...

Consider the following data for two variables, x and
y.
xi
135
110
130
145
175
160
120
yi
145
105
120
115
130
130
110
(a)
Compute the standardized residuals for these data. (Round your
answers to two decimal places.)
xi
yi
Standardized
Residuals
135
145
110
105
130
120
145
115
175
130
160
130
120
110
Do the data include any outliers? Explain. (Round your answers
to two decimal places.)
The standardized residual with the largest absolute...

A statistical program is recommended.
Consider the following data for two variables, x and
y.
xi
135
110
130
145
175
160
120
yi
145
105
120
115
130
130
110
(a)
Compute the standardized residuals for these data. (Round your
answers to two decimal places.)
xi
yi
Standardized
Residuals
135
145
110
105
130
120
145
115
175
130
160
130
120
110
Do the data include any outliers? Explain. (Round your answers
to two decimal places.)
The standardized...

The following data represent soil water content (percentage of
water by volume) for independent random samples of soil taken from
two experimental fields growing bell peppers.
Soil water content from field I: x1; n1 = 72
15.2 11.3 10.1 10.8 16.6 8.3 9.1 12.3 9.1 14.3 10.7 16.1 10.2
15.2 8.9 9.5 9.6 11.3 14.0 11.3 15.6 11.2 13.8 9.0 8.4 8.2 12.0
13.9 11.6 16.0 9.6 11.4 8.4 8.0 14.1 10.9 13.2 13.8 14.6 10.2 11.5
13.1 14.7 12.5...

The following data represent soil water content (percentage of
water by volume) for independent random samples of soil taken from
two experimental fields growing bell peppers.
Soil water content from field I: x1; n1 = 72
15.2 11.3 10.1 10.8 16.6 8.3 9.1 12.3 9.1 14.3 10.7 16.1 10.2
15.2 8.9 9.5 9.6 11.3 14.0 11.3 15.6 11.2 13.8 9.0 8.4 8.2 12.0
13.9 11.6 16.0 9.6 11.4 8.4 8.0 14.1 10.9 13.2 13.8 14.6 10.2 11.5
13.1 14.7 12.5...

The following data represent soil water content (percentage of
water by volume) for independent random samples of soil taken from
two experimental fields growing bell peppers. Soil water content
from field I: x1; n1 = 72 15.2 11.3 10.1 10.8 16.6 8.3 9.1 12.3 9.1
14.3 10.7 16.1 10.2 15.2 8.9 9.5 9.6 11.3 14.0 11.3 15.6 11.2 13.8
9.0 8.4 8.2 12.0 13.9 11.6 16.0 9.6 11.4 8.4 8.0 14.1 10.9 13.2
13.8 14.6 10.2 11.5 13.1 14.7 12.5...

Experiment 1: Titrations With Hot Taco Sauce and
Ketchup
Materials:
(2) 250 mL Beakers
100 mL Beaker (waste beaker)
30 mL Syringe
Syringe stopcock
100 mL Graduated cylinder
Funnel
Stir rod
Ring stand
Ring Clamp
pH meter
Scale
20 mL 0.1M NaOH
2 Ketchup packets
2 Hot sauce packets
*90 mL Distilled water
*Scissors
*Computer Access
*Access to a Graphing Software
*Procedure for creating this solution provided in the "Before
You Begin..." section (located at the beginning of the manual)....

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