Question

The following Exercise is based on summary statistics rather than raw data. This information is typically...

The following Exercise is based on summary statistics rather than raw data. This information is typically all that is presented in published reports. You can calculate inference procedures by hand from the summaries. Use the conservative Option 2 (degrees of freedom the smaller of n 1 −1 n1−1 and n 2 −1 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: Sample Size Estimated Average Number (SD) of Words Spoken per Day Study Women Men Women Men 1 58 58 15277 (7591) 16600 (9113) 2 25 16 16945 (7547) 12462 (8172) Readers are expected to understand this to mean, for example, the 58 women in the first study had x ¯ ¯ ¯ x¯ = 15277 and s = 7591. It is commonly thought that women talk more than men. Does either of the two samples support this idea? For each study:

(a) State the alternative hypothesis in terms of the population mean number of words spoken per day for men ( μ M ) (μM) and for women ( μ F ) (μF) . If necessary, use != to represent ≠ ≠ . Study 1: μ M μM μ F μF Study 2: μ M μM μ F μF

(b) Find the two-sample t statistic to test μ F − μ M μF−μM . Study 1: Study 2:

(c) What degrees of freedom does Option 2 use to get a conservative P-value? Study 1: Study 2:

(d) Compare your value of t with the critical values in Table C. What can you say about the P- value of the test? Study 1: P- value > > Study 2: ≤ ≤ P- value ≤ ≤

please show your work and what function to use on the calculator. Thank you!

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The following Exercise is based on summary statistics rather than raw data. This information is typically...
The following Exercise is based on summary statistics rather than raw data. This information is typically all that is presented in published reports. You can calculate 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...
Test the claim that the proportion of men who own cats is significantly different than the...
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.01 significance level. The null and alternative hypothesis would be: H 0 : μ M = μ F H 1 : μ M ≠ μ F H 0 : p M = p F H 1 : p M > p F H 0 : p M = p F H 1 : p M ≠...
researchers claim that women speak more words per day than men. One estimate is that a...
researchers claim that women speak more words per day than men. One estimate is that a woman uses about 15,500 words per day while a man uses about 11,500. To investigate such claims, one study used a special device to record the conversations of male and female university students over a 4-day period. Samples of 18 men were selected to provide evidence that the mean number of words per day of men at this university differs from 11,500. The sample...
Be sure to do your computations using Excel. Do not do computations using Table A, Table...
Be sure to do your computations using Excel. Do not do computations using Table A, Table C, or on a calculator and then type the answers into Excel. 1. Researchers did a study to compare how much men and women talk because it is commonly thought that women talk more then men. The study collected data from a simple random sample of women and a simple random sample of men. For each individual in these samples the researchers gave the...
Researchers claim that women speak significantly more words per day than men. One estimate is that...
Researchers claim that women speak significantly more words per day than men. One estimate is that a woman uses about 20,000 words per day while a man uses about 7,000 . To investigate such claims, one study used a special device to record the conversations of male and female university students over a four‑day period. From these recordings, the daily word count of the 20 men in the study was determined. The table contains their daily word counts. 28,408 10,084...
Researchers claim that women speak significantly more words per day than men. One estimate is that...
Researchers claim that women speak significantly more words per day than men. One estimate is that a woman uses about 20,000 words per day while a man uses about 7,000. To investigate such claims, one study used a special device to record the conversations of male and female university students over a four‑day period. From these recordings, the daily word count of the 2020 men in the study was determined. The table contains their daily word counts. 28,408 10,084 15,931...
Researchers claim that women speak significantly more words per day than men. One estimate is that...
Researchers claim that women speak significantly more words per day than men. One estimate is that a woman uses about 20,000 words per day while a man uses about 7,000 . To investigate such claims, one study used a special device to record the conversations of male and female university students over a four‑day period. From these recordings, the daily word count of the 2020 men in the study was determined. The table contains their daily word counts. 28,408 10,084...
Researchers claim that women speak significantly more words per day than men. One estimate is that...
Researchers claim that women speak significantly more words per day than men. One estimate is that a woman uses about 20,00020,000 words per day while a man uses about 7,0007,000 . To investigate such claims, one study used a special device to record the conversations of male and female university students over a four‑day period. From these recordings, the daily word count of the 2020 men in the study was determined. The table contains their daily word counts. 28,40828,408 10,08410,084...
The accompanying table gives results from a study of words spoken in a day by men...
The accompanying table gives results from a study of words spoken in a day by men and women. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.050.05 significance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. n x overbarx s Men 185185 15 comma 668.715,668.7 8 comma 632.88,632.8 Women 211211 16...
Men of few words? Reasearchers claim that women speak significantly more words per day than men....
Men of few words? Reasearchers claim that women speak significantly more words per day than men. One estimate is that a woman uses about 20,000 words per day, whereas a man uses about 7,000. To investigate such claims, one study used a special device to record the conversations of male and female university students over a four-day period. (Matthias R. Mehl et al., ”Are women really more talkative than men?,” Science, 317 (2007), p. 82) Here are the daily word...