Question

A set of numbers such as those below is meaningless without some background information. The INDIVIDUALS here are Newcomb's 66 repetitions of his experiment. We need to know exactly WHAT VARIABLE he measured, and in WHAT UNITS. Newcomb measured the time in seconds that a light signal took to pass from his laboratory on the Potomac River to mirror at the base the Washington Monument an back, a total distance of about 7400 meters. Just as you can compute the speed of a car from the time required to drive a mile, Newcomb could compute the speed of light from the passage of time. Newcomb's first measurement of the passage of time of light was 0.000024828 second or 24828 nanoseconds. The entries above record only the deviation from 24800, so the first entry, 28, is short for 24828 nanoseconds. Negative entries are numbers less than 24800.

28 | 22 | 36 | 26 | 28 |
28 |

26 | 24 | 32 | 30 | 27 |
24 |

33 | 21 | 36 | 32 | 31 |
25 |

24 | 25 | 28 | 36 | 27 |
32 |

34 | 30 | 25 | 26 |
26 |
25 |

-44 |
23 | 21 | 30 | 33 | 29 |

27 |
29 | 28 | 22 | 26 | 27 |

16 |
31 | 29 | 36 | 32 | 28 |

40 |
19 | 37 | 23 | 32 | 29 |

-2 |
24 | 25 | 27 | 24 | 16 |

29 |
20 | 28 | 27 | 39 | 23 |

Use the data set above to make a histogram and analyze it, using key terms

Present a 5 number summary and a modified box plot and are there any outliers?

Report the mean and standard deviation (do not discard outliers), the mean was important in this experiment. Calculate the 95% confidence interval for the true mean. Explain what this means.

Compare these (5 number summary and mean/standard deviation). Are the mean and standard deviation valid for this set of data? Justify your answer.

Some of the above (and what follows below) makes no sense if the data is not approximately normal. Explain what this means. Is this data close to normal distributed? Justify your answer. Regardless of your conclusion, for the next part assume the data is approximately normal.

The data listed in the order it was recorded (down first, then across).

Do a time plot. Analyze this plot, paying close attention to new information gained beyond what we did above.

Cut the data in half (first three columns vs. last three columns) and do a back to back stem plot. Analyze this. Does this further amplify what the time plot showed?

Calculate the mean of the second half of the data.

Using the mean and standard deviation of the whole data set (found above) as the population mean and standard deviation, test the significance that the mean of the second half is different than the mean of the total using α=.05 .

Make sure to clearly identify the null and alternative hypothesis.

Explain what this test is attempting to show.

Report the p-value for the test and explain what that means.

Accept or reject the null hypothesis, and justify your answer (based on the p-value).

Answer #1

**SOLUTION**

A set of numbers such as those below is meaningless without some
background information. The INDIVIDUALS here are Newcomb's 66
repetitions of his experiment. We need to know exactly WHAT
VARIABLE he measured, and in WHAT UNITS. Newcomb measured the time
in seconds that a light signal took to pass from his laboratory on
the Potomac River to mirror at the base the Washington Monument an
back, a total distance of about 7400 meters. Just as you can
compute the...

Data set for ages of students in stats class:
17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19,19,
20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23,
24, 25, 25, 25, 26, 26, 27, 28, 28, 28, 28, 29, 29, 32, 36, 42
1) Compute the 5-number summary and create a modified box-plot,
using the inner-quartile range to identify any outliers.

Solve using Minitab.
The table is observations on weekly operational downtime on a
critical equipment (order read top to bottom and left to right).
The target value for the mean is 25. (a) Estimate the process
standard deviation. (b) Set up and apply a tabular cusum chart for
this process, using standardized values h = 5 and k = ½. (c)
Interpret the cusum chart.
24 22 27 27 25
27 23 20 28 29
24 28 20 29 21...

The US Census Bureau provides statistics on family life in the
United States, including the age at the time of first marriage,
current marital status, and size of household. The following data
show the age at the time of first marriage for a sample of men and
a sample of women.
Men
26, 23, 28, 25, 27, 30, 26, 35, 28, 21, 24, 27, 29, 30, 27, 32, 27,
25 Women
20, 28, 23, 30, 24, 29, 26, 25,
22,...

The table below shows average daily sales of Rice Krispies in
the month of June in 74 Noodles & Company restaurants. Use the
following data set and answer the questions
32
8
14
20
28
19
37
31
16
16
16
29
11
34
31
18
22
17
27
16
24
49
25
18
25
21
15
16
20
11
21
29
14
25
10
15
8
12
12
19
21
28
27
26
12
24
18
19
24
16...

The results of a sample of 372 subscribers
toWiredmagazine shows the time spent using the Internet
during the week. Previous surveys have revealed that the population
standard deviation is 10.95 hours. The sample data can be found in
the Excel test data file.
What is the probability that another sample of 372 subscribers
spends less than 19.00 hours per week using the Internet?
Develop a 95% confidence interval for the population mean
If the editors of Wiredwanted to have the...

Is there a significant difference in mean Highway MPG between
expensive and cheap cars?
I understand that I must conduct a hypothesis test and
confidence interval for two means. I have found the mean for cheap
cars to be 33.6, the standard deviation 5.57; the mean for
expensive cars 26.1, the standard deviation 2.14. Please use the
appropriate formulas in order to determine if there is a
significant difference.
Price_Category
HighwayMPG
Price_Category
HighwayMPG
Cheap
34
Expensive
25
Cheap
46
Expensive...

For each of the data sets provided below, calculate the mean,
median, mode, and standard deviation.
1) Data Set 1:
23, 26, 50, 39, 55, 64, 50, 10, 42, 35, 51, 42, 43, 56, 64, 48,
48, 57, 27, 37
2) Data Set 2:
26, 31, 10, 37, 38, 35, 30, 24, 26, 27, 24, 32, 32, 19, 34, 33,
14, 32, 24, 39, 30

3)Johnson et al (A-16) performed a retrospective review of 50
fetuses that underwent open fetal myelomeningocele closure. The
data below shw the gestational age in weeks of the 50 fetuses
undergoing the prodecure. 25 25 26 27 29 29 29 30 30 31 32 32 32 33
33 33 33 34 34 34 35 35 35 35 35 35 35 35 35 36 36 36 36 36 36 36
36 36 36 36 36 36 36 36 36 36 36...

3)Johnson et al (A-16) performed a retrospective review of 50
fetuses that underwent open fetal myelomeningocele closure. The
data below shw the gestational age in weeks of the 50 fetuses
undergoing the prodecure.
25 25 26 27 29 29 29 30 30 31 32 32 32 33 33 33 33 34 34 34 35
35 35 35 35 35 35 35 35 36 36 36 36 36 36 36 36 36 36 36 36 36 36
36 36 36 36...

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