Question

2) An outbreak of the human flu virus among individuals that had received their annual flu shot led researchers to hypothesize that the outbreak was due to a new strain of virus. Therefore, they decided to compare the genetic characteristics of the purported new viral strain to that of the virus for which the flu shot vaccine had been developed. The researchers determined the number of point mutations at a specific locus in the new viral genome from blood samples obtained from 16 infected people and compared the number of point mutations in those samples to the mean number of mutations (= 12) known for the virus used in the vaccine development. Are the number of mutations in the virus isolated from patients in the flu outbreak significantly less than that in the vaccine virus?

Mutations
13
10
12
9
5
14
8
8
16
12
2
11
5
13
14
16

Answer 1

(2) From the given informati on, μ-12, sample size n-16 sample mean x..= 10.50, sample standard deviation s=·|ーΣ(芮一司2 = 4.08, Null hypothesis Ho : μ 212 Alternative hypothesis , μ < 12 The test is lower tail (left one-tail test) The test statistic tcai 2-11 10.50-12--14706 a4.08/16 Let the level of significance be α-0.05, then the critical value is-Goss-1.753 The value of the test statistic te,--1.4706 greater than the critical value-005,15ーー1.753 it falls in the acceptance region, we fail to reject the null hypothesis. P-value P (t >1.4706)-0.081 P-value 0.081 greater than the level of significance α 0.05 we fail to reject the null hypothesis There isno sufficient evidence conclude that the the number of mutations in the ns isolated from patients in the flu outbreak significantly less than that in the vaccine virus. e