Question

In a statistics class, students took their pulses before and after being frightened. The frightening event was having the teacher scream and run from one side of the room to the other. The pulse rates (beats per minute) of the women before and after the scream were obtained separately and are shown in the accompanying table. Treat this as though it were a random sample of female community college students. Test the hypothesis that the mean of college women's pulse rates is higher after afright, using a significance level of 0.05

Pulse before: 65, 77, 95, 92, 94, 71, 70, 82,81, 61,82 , 89, 64

pulse after: 67, 85, 96, 99,97, 77,78, 86, 84,65, 87, 95, 74

Step 1: Hypothesize

Let μbefore be the population mean number of beats per minute before the scream, and let μafter be the population mean number of beats per minute after the scream. Determine the hypotheses for this test. Choose the correct answer below.

Choose a test. Should it be a paired t-test or a two-sample t-test? Why?

Step 3: Compute to compare

Find the test statistic for this test. Use μdifference μbefore minus μafter.

t=

(Round to two decimal places as needed.)

Find the p-value for this test.

p-value

(Round to three decimal places as needed.)

Step 4: Interpret

Reject or do not reject H0.

Then write a sentence that includes "significant" or "significantly" in it. Report the sample mean pulse rate before the scream and the sample mean pulse rate after the scream.

Answer #1

=====================================================

Paired t test

Each sample is independent to each other and dependent variables are approximately normal

====================================================

Before | After | d(before-afte) | |

65 | 67 | -2 | |

77 | 85 | -8 | |

95 | 96 | -1 | |

92 | 99 | -7 | |

94 | 97 | -3 | |

71 | 77 | -6 | |

70 | 78 | -8 | |

82 | 86 | -4 | |

81 | 84 | -3 | |

61 | 65 | -4 | |

82 | 87 | -5 | |

89 | 95 | -6 | |

64 | 74 | -10 | |

-5.154 | Average | ||

2.641 | Std |

====================================================

4. P-value = 0.000

===================================================

5. Reject Ho

==================================================

Significant

In a statistics class, 8 students took their pulses before and
after being frightened. The frightening event was having the
teacher scream and run from one side of the room to the other. The
pulse rates (beats per minute) of the students before and after the
scream were obtained separately and are shown in the table. Treat
this as though it were a random sample of community college
students. Test the hypothesis that the mean of college students'
pulse rates...

In a statistics class, 8 students took their pulses before and
after being frightened. The frightening event was having the
teacher scream and run from one side of the room to the other. The
pulse rates (beats per minute) of the students before and after the
scream were obtained separately and are shown in the table. Treat
this as though it were a random sample of community college
students. Test the hypothesis that the mean of college students'
pulse rates...

For each test below, follow the following steps.
(1) state the hypotheses,
(2) formulate an analysis plan
(3) analyze sample data
(4) interpret the results
You may use the TI-83 to calculate the test statistic and p-value,
but be sure you indicate which test you are using.
Test V – Pulse Rates and Fright
In a statistics class, 13 students took their pulse rates before
and after being frightened. The frightening event was having the
teacher scream and run from...

Suppose the mean pulse rate of college students is 68 beats per
minute with a standard deviation of 11.5. You conduct a special
exercise program for 37 college students. After completing the
program, the mean pulse rate of the students was 64.4. Test the
hypothesis that the program lowered students’ pulse rates using a =
0.01.

Suppose that a students is working on a statistic project using
data on pulse rates collected from a random sample of 100 students
from her college. She finds a 95% confidence interval for mean
pulse rate to be (65.5, 71.8). Explain how each of the statement
below would indicate an improper interpretation of this
interval
c) I am 95% sure that the confidence interval for the average
pulse rate of all students at this college from 65.5 to 71.8 beats...

It has been hypothesized that the mean pulse rate for college
students is about 72 beats per minute. A sample of university
students recorded their sexes and pulse rates. Assume that the
samples are representative of all university men and women for
pulse rate measurements. The summary statistics were the
following.
Sex
n
Mean
StDev
Female
35
76.7
11.6
Male
57
70.42
9.95
(a) Test whether the pulse rates of all university men have a
mean of 72.
Conclude that...

The following data represent the pulse rates (beats per
minute) of nine students enrolled in a statistics course. Treat the
nine students as a population. Complete parts (a) to
(c).
Student
PulsePulse
Perpectual Bempah
80
Megan Brooks
63
Jeff Honeycutt
79
Clarice Jefferson
67
Crystal Kurtenbach
82
Janette Lantka
85
Kevin McCarthy
65
Tammy Ohm
73
Kathy Wojdya
88
(a) Determine the population mean pulse.
The population mean pulse is approximately
nothing
beats per minute.
(Type an integer or decimal...

Three students took a statistics test before and after coaching,
but coaching did not effect the scores of students i.e mean change
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Students
A
B
C
Before
71
88
63
After
70
89
60
The value of t-test statistic for matched pairs is
chooes
8.66
0.866
-0.866
-8.66

A simple random sample of pulse rates of 60 women from a
normally distributed population results in a standard deviation of
11.9 beats per minute. The normal range of pulse rates of adults is
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thumb is applied to that normal range, the result is a standard
deviation of 10 beats per minute. Use the sample results with a
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Three students took a statistics test before and after coaching,
but coaching did not effect the scores of students i.e mean change
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Before 70 88 62 After 71 89 56
Find the value of test statistic-t for matched pairs.(Round off
up to 3 decimal places)

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