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In: Statistics and Probability

Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion...

Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion about the null hypothesis, and final conclusion that addresses the original claim(Don’t just say Reject the null hypothesis or fail to reject the null hypothesis). If you used the calculator, identify everything mentioned above in addition to which calculator functions and inputs for each field were used.

Listed below are the numbers of words spoken in a day by each member of six different couples. The data are randomly selected. Use a 0.05 significance level to test the claim that among couples, males speak more words in a day than females.

Males

5638

21,319

17,572

26429

46,978

25,835

Females

5198

11,661

19,624

13,397

31,553

18,667

Difference

Solutions

Expert Solution

Sample size =number of couples =n =6

Degrees of freedom, df =n - 1 =5

Paired sample t-test:

H0: Among couples, males do not speak more words in a day than females.

Ha: Among couples, males speak more words in a day than females.

( =Population mean for males; =Population mean for females; ​​​​​​)

Conclusion:

Since the null hypothesis is rejected, we have evidence to claim that among couples, males speak more words in a day than females.

orchestra answered 2 years ago
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