Homework Help for Statistics

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Statistics is an area of Mathematics that uses large amounts of numerical data to make inferences based on probabilities.

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in Statistics·
2 May 2023

Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.

Male 16,044 26,686 1433 7813 19,439 15,672 14,187 25,068
Female 24,753 13,006 18,419 18,015 13,045 17,349 16,311 17,984

a. Use a 0.01 significance level to test the claim that among couples, males speak fewer words in a day than females.

In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What

null and alternative hypotheses for the hypothesis test?

: ____  word(s)

: ____ word(s)

(Type integers or decimals. Do not round.)

 

Identify the test statistic

t = ____ (Round to two decimal places as needed.)

 

Identify the P-value.

P-value = ____ (Round to three decimal places as needed.)

What is the conclusion based on the hypothesis test?

 

Since the P-value is ____ the significance level, ____  the null hypothesis. There ____  sufficient evidence to support the claim that males speak fewer words in a day than females.

 

b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?

The confidence interval is ____  word(s) < < ____ word(s)

(Round to the nearest integer as needed.)

 

What feature of the confidence interval leads to the same conclusion reached in part (a)?
 
Since the confidence interval contains ____  ____  the null hypothesis.

 


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