70.2K

Verified Solution

Link Copied!

Use the weights of cans of generic soda as sample​ one, and usethe weights of cans of the diet version of that soda as sample two.Assume that the two samples are independent simple random samplesselected from normally distributed populations. Do not assume thatthe population standard deviations are equal. Construct a 99​%confidence interval estimate of the difference between the meanweight of the cans of generic soda and the mean weight of cans ofthe diet version of that soda. Does there appear to be a differencebetween the mean​ weights?

	 Â
Weight of Generic SodaWeight of Generic Soda Â	Weight of Diet SodaWeight of Diet Soda  Â
0.8071	0.8643
0.8402	0.8542
0.8564	0.8342
0.8751	0.8173
0.8677	0.8224
0.8843	0.8091
0.8833	0.8039
0.8902	0.8193
0.8986	0.8126
0.8136	0.8611
0.8105	0.8638
0.8103	0.8672
0.8375	0.8526
0.8331	0.8511
0.8283	0.8531
0.8303	0.8722
0.8255	0.8532
0.8325	0.8698
0.8435	0.8536
0.8467	0.8169
0.8431	0.8493
0.8891	0.8122
0.8755	0.8136
0.8711	0.8355
0.8415	0.8313
0.8565	0.8118
0.8833	0.8285
0.8944	0.8336
0.8707	0.8376
0.8541	0.8422
0.8581	0.8096
0.8589	0.8055
0.8604	0.8125
0.8727	0.8156
0.8712	0.8214
0.8702	0.8087

Assume that population 1 is the generic soda and population 2 isthe diet soda.

The 99​% confidence interval is ____  ounces < μ1-μ2 < _____ ounces.
​(Round to four decimal places as​ needed.)