This exercise is based on summary statistics rather than raw data. This information is typically all that is presented in published reports. You can perform inference procedures by hand from the summaries. Use the conservative Option 2 (degrees of freedom the smaller of n1 1 and n2 1) for two-sample t confidence intervals and P-values. You must trust that the authors understood the conditions for inference and verified that they apply. This isn't always true. Equip male and female students with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days. Count the words each subject speaks during each recording period, and from this, estimate how many words per day each subject speaks. The published report includes a table summarizing six such studies. Here are two of the six. ESTIMATED AVERAGE NUMBER (SD) OF WORDS SAMPLE SIZE SPOKEN PER DAY STUDY WOMEN MEN WOMEN MEN 1 56 56 16,177 (7520) 16,569 (9108) 27 20 16,496 (7914) 12,867 (8343) Readers are supposed to understand that, for example, the 56 women in the first study had x = 16,177 and s = 7520. It is commonly thought that women talk more than men. Does either of the two samples support this idea? Do the following for each study. (a) State hypotheses in terms of the population means for men (uM) and women (uF). Но: МЕ — Им Vs. Ha: MF > Mм Ho: HF = UM Vvs. Hạ: HF # µM Но: ИЕ — Им %3D 0 vs. Ha: Иғ — Им + 0 Но: МЕ — Им Vs. Ha: MF < Mм (b) Find the two sample t statistic. (Round your answers to three decimal places.) Study 1: Study 2: (c) What degrees of freedom does Option 2 use to get a conservative P-value? Study 1: df = Study 2: df =

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This exercise is based on summary statistics rather than raw data. This information is typically all that is presented in published reports. You can perform inference
procedures by hand from the summaries. Use the conservative Option 2 (degrees of freedom the smaller of n1
1 and n2
1) for two-sample t confidence
intervals and P-values. You must trust that the authors understood the conditions for inference and verified that they apply. This isn't always true.
Equip male and female students with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days. Count the
words each subject speaks during each recording period, and from this, estimate how many words per day each subject speaks. The published report includes a
table summarizing six such studies. Here are two of the six.
ESTIMATED AVERAGE
NUMBER (SD) OF WORDS
SAMPLE SIZE
SPOKEN PER DAY
STUDY
WOMEN
MEN
WOMEN
MEN
1
56
56
16,177 (7520)
16,569 (9108)
27
20
16,496 (7914)
12,867 (8343)
Readers are supposed to understand that, for example, the 56 women in the first study had x = 16,177 and s = 7520. It is commonly thought that women talk
more than men. Does either of the two samples support this idea? Do the following for each study.
(a) State hypotheses in terms of the population means for men (uM) and women (uF).
Но: МЕ — Им Vs. Ha: MF > Mм
Ho: HF = UM Vvs. Hạ: HF # µM
Но: ИЕ — Им
%3D 0 vs. Ha: Иғ — Им + 0
Но: МЕ — Им Vs. Ha: MF < Mм
(b) Find the two sample t statistic. (Round your answers to three decimal places.)
Study 1:
Study 2:
(c) What degrees of freedom does Option 2 use to get a conservative P-value?
Study 1:
df =
Study 2:
df =
Transcribed Image Text:This exercise is based on summary statistics rather than raw data. This information is typically all that is presented in published reports. You can perform inference procedures by hand from the summaries. Use the conservative Option 2 (degrees of freedom the smaller of n1 1 and n2 1) for two-sample t confidence intervals and P-values. You must trust that the authors understood the conditions for inference and verified that they apply. This isn't always true. Equip male and female students with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days. Count the words each subject speaks during each recording period, and from this, estimate how many words per day each subject speaks. The published report includes a table summarizing six such studies. Here are two of the six. ESTIMATED AVERAGE NUMBER (SD) OF WORDS SAMPLE SIZE SPOKEN PER DAY STUDY WOMEN MEN WOMEN MEN 1 56 56 16,177 (7520) 16,569 (9108) 27 20 16,496 (7914) 12,867 (8343) Readers are supposed to understand that, for example, the 56 women in the first study had x = 16,177 and s = 7520. It is commonly thought that women talk more than men. Does either of the two samples support this idea? Do the following for each study. (a) State hypotheses in terms of the population means for men (uM) and women (uF). Но: МЕ — Им Vs. Ha: MF > Mм Ho: HF = UM Vvs. Hạ: HF # µM Но: ИЕ — Им %3D 0 vs. Ha: Иғ — Им + 0 Но: МЕ — Им Vs. Ha: MF < Mм (b) Find the two sample t statistic. (Round your answers to three decimal places.) Study 1: Study 2: (c) What degrees of freedom does Option 2 use to get a conservative P-value? Study 1: df = Study 2: df =
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