5. 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 16,222 25,604 1363 7532 19,443 15,264 13,707 26,259 Female 25,030 12,949 18,195 17,594 13,167 16,827 16,199 17,985 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, Ha 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 are the null and alternative hypotheses for the hypothesis test? Ho: H (1) word(s) H1: Hd (2) (Type integers or decimals. Do not round.) word(s) 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 (3) the significance level, (4). the null hypothesis. There (5) 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)
5. 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 16,222 25,604 1363 7532 19,443 15,264 13,707 26,259 Female 25,030 12,949 18,195 17,594 13,167 16,827 16,199 17,985 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, Ha 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 are the null and alternative hypotheses for the hypothesis test? Ho: H (1) word(s) H1: Hd (2) (Type integers or decimals. Do not round.) word(s) 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 (3) the significance level, (4). the null hypothesis. There (5) 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)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:5. 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
16,222 25,604
1363
7532
19,443 15,264 13,707 26,259
Female 25,030 12,949 18,195 17,594 13,167 16,827 16,199 17,985
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, Hd 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 are the null and
alternative hypotheses for the hypothesis test?
Ho: Ha (1).
word(s)
H: Ha (2).
(Type integers or decimals. Do not round.)
word(s)
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 (3)
the significance level, (4).
the null hypothesis. There
(5) -
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) <Hd <
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 (6)
(7).
the null hypothesis.
(1)
(2)
(3) O less than or equal to
(4)
reject
(5) O is
O greater than
O fail to reject
O is not
(6)
only negative numbers,
O reject
O fail to reject
(7)
O zero,
O only positive numbers,
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