Albert is interested to understand the of herd immunity concept for Japan's COVID-19 cases. She noted that 95% of adult population in Japan is fully vaccinated by the end of October 2021. She want to compare difference of COVID-19 death cases in Japan before Japan achieve herd immunity and after Japan achieve herd immunity. She collects the data of death cases in Japan two weeks in the early of October 2021 (to represent before herd immunity) and two weeks in the end of November 2021 (to represent after herd immunity). Assume the variable is approximately normally distributed. The data are presented as below. After herd immunity 55 Before herd immunity 121 109 118 76 117 105 132 53 40 68 45 41 24 78 74 64 93 103 68 88 63 47 37 48 45 40 29 a) What test is appropriate to be used in this question? State why. b) Find sample mean and sample standard deviation of the above data. c) Can Albert concluded that the before herd immunity death cases is lower than the after herd immunity death cases. Test the claim at a = 0.10.

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Albert is interested to understand the of herd immunity concept for Japan's COVID-19 cases. She noted that 95%
of adult population in Japan is fully vaccinated by the end of October 2021. She want to compare difference of
COVID-19 death cases in Japan before Japan achieve herd immunity and after Japan achieve herd immunity. She
collects the data of death cases in Japan two weeks in the early of October 2021 (to represent before herd
immunity) and two weeks in the end of November 2021 (to represent after herd immunity). Assume the variable
is approximately normally distributed. The data are presented as below.
Before herd immunity
After herd immunity
121
109
118
76
117
105
132
53
40
68
55
45
41
24
78
74
64
93
103
68
88
63
47
37
48
45
40
29
a) What test is appropriate to be used in this question? State why.
b) Find sample mean and sample standard deviation of the above data.
c) Can Albert concluded that the before herd immunity death cases is lower than the after herd immunity
death cases. Test the claim at a = 0.10.
d) Find 98% confidence interval of the difference in means.
Transcribed Image Text:Albert is interested to understand the of herd immunity concept for Japan's COVID-19 cases. She noted that 95% of adult population in Japan is fully vaccinated by the end of October 2021. She want to compare difference of COVID-19 death cases in Japan before Japan achieve herd immunity and after Japan achieve herd immunity. She collects the data of death cases in Japan two weeks in the early of October 2021 (to represent before herd immunity) and two weeks in the end of November 2021 (to represent after herd immunity). Assume the variable is approximately normally distributed. The data are presented as below. Before herd immunity After herd immunity 121 109 118 76 117 105 132 53 40 68 55 45 41 24 78 74 64 93 103 68 88 63 47 37 48 45 40 29 a) What test is appropriate to be used in this question? State why. b) Find sample mean and sample standard deviation of the above data. c) Can Albert concluded that the before herd immunity death cases is lower than the after herd immunity death cases. Test the claim at a = 0.10. d) Find 98% confidence interval of the difference in means.
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