I'm not sure whether to solve with a T test or a Z test because n < 30 (T test), but the standard deviation is known (Z test). How can I figure out which test statistic to use when both test statistics have a condition (ie n < 30 and std dev is known) that is true? Thank you.

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I'm not sure whether to solve with a T test or a Z test because n < 30 (T test), but the standard deviation is known (Z test). How can I figure out which test statistic to use when both test statistics have a condition (ie n < 30 and std dev is known) that is true? Thank you.

18. Which way of dispensing champagne, the traditional
vertical method or a tilted beer-like pour, preserves more
of the tiny gas bubbles that improve flavor and aroma?
The following data was reported in the article "On the
Losses of Dissolved CO, during Champagne Serving"
(J. Agr. Food Chem., 2010: 8768 8775).
Temp ("C)
Type of Pour
Mean (g/L)
SD
18
Traditional
4
4.0
18
Slanted
4
3.7
12
Traditional
4.
3.3
12
Slanted
4
2.0
.3
Assume that the sampled distributions are normal.
1. Carry out a test at significance level .01 to decide
whether true average CO, loss at 18 °C for the tradi-
tional pour differs from that for the slanted pour.
b. Repeat the test of hypotheses suggested in (a) for the
12° temperature. Is the conclusion different from that
for the 18° temperature? Note: The 12° result was
reported in the popular media.
wiwwin
Transcribed Image Text:18. Which way of dispensing champagne, the traditional vertical method or a tilted beer-like pour, preserves more of the tiny gas bubbles that improve flavor and aroma? The following data was reported in the article "On the Losses of Dissolved CO, during Champagne Serving" (J. Agr. Food Chem., 2010: 8768 8775). Temp ("C) Type of Pour Mean (g/L) SD 18 Traditional 4 4.0 18 Slanted 4 3.7 12 Traditional 4. 3.3 12 Slanted 4 2.0 .3 Assume that the sampled distributions are normal. 1. Carry out a test at significance level .01 to decide whether true average CO, loss at 18 °C for the tradi- tional pour differs from that for the slanted pour. b. Repeat the test of hypotheses suggested in (a) for the 12° temperature. Is the conclusion different from that for the 18° temperature? Note: The 12° result was reported in the popular media. wiwwin
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