b. A study conducted to compare the breakdown voltage in two insulating liquids, yields the voltage (kV) readings below, Liquid 1 Liquid 2 53 47 56 55 50 62 58 59 56 60 59 46 44 47 51 53 i) Calculate the sample mean and sample variance of both liquids i.c. , 2, s,? and s,?. ii) Construct a 90% confidence interval for the difference in the mean breakdown voltage of both liquid iii) Test at the 10% level of significance whether the mean breakdown voltage of liquid 1 exceeds that of liquid 2. Use the critical value approach.

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b. A study conducted to compare the breakdown voltage in two insulating liquids, yields the voltage (kV)
readings below,
62
58
Liquid 1
Liquid 2
53
47
56
55
50
59
56
60
59
46
44
47
51
53
i) Calculate the sample mean and sample variance of both liquids i.e. F1, I2, s,² and s,?.
ii) Construct a 90% confidence interval for the difference in the mean breakdown voltage of both liquids.
iii)
Test at the 10% level of significance whether the mean breakdown voltage of liquid 1 exceeds that of
liquid 2. Use the critical value approach.
Transcribed Image Text:b. A study conducted to compare the breakdown voltage in two insulating liquids, yields the voltage (kV) readings below, 62 58 Liquid 1 Liquid 2 53 47 56 55 50 59 56 60 59 46 44 47 51 53 i) Calculate the sample mean and sample variance of both liquids i.e. F1, I2, s,² and s,?. ii) Construct a 90% confidence interval for the difference in the mean breakdown voltage of both liquids. iii) Test at the 10% level of significance whether the mean breakdown voltage of liquid 1 exceeds that of liquid 2. Use the critical value approach.
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