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Assignment 28 - statistics

Assignment 28 - statistics

Qn1. Listed in the accompanying table are numbers of hospital admissions in one region due to traffic accidents on different Fridays falling on the 6th day of a month and the following 13th day of the month. Assume that we want to use a 0.05 significance level to test the claim that the data support the claim that fewer hospital admissions due to traffic accidents occur on Friday the 6th than on the following Friday the 13th. Identify the null hypothesis and alternative hypothesis.

  • Let the differences be the accidents on the 6th minus the accidents on the 13th.

Qn2.  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.

            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, mu Subscript d 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?

Qn3. The​ "Freshman 15" refers to the belief that college students gain 15 lb​ (or 6.8​ kg) during their freshman year. Listed in the accompanying table are weights​ (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample​ data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts​ (a) through​ (c).

a. Use a 0.01

 

significance level to test the claim that for the population of freshman male college​ students, the weights in September are less than the weights in the following April.

In this​ example, mu Subscript d  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 April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis​ test?

Listed in the accompanying table are heights​ (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample​ data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a  0.01 significance level to test the claim that there is no difference in heights between mothers and their first daughters.