Question

10. Use the weights of cans of generic soda as sample one, and use the weights of cans of the diet version of that soda as sample two. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Construct a 90% confidence interval estimate of the difference between the mean weight of the cans of generic soda and the mean weight of cans of the diet version of that soda. Does there appear to be a difference between the mean weights?

Weight_of_Generic_Soda Weight_of_Diet_Soda

0.8152 0.8666

0.8494 0.8509

0.8568 0.8327

0.8569 0.8136

0.8621 0.8066

0.8978 0.8167

0.8979 0.8095

0.8896 0.8037

0.8919 0.8197

0.8136 0.8635

0.8165 0.8615

0.8104 0.8633

0.8461 0.8608

0.8273 0.8593

0.8232 0.8664

0.8347 0.8592

0.8494 0.8727

0.8385 0.8552

0.8437 0.8744

0.8441 0.8396

0.8436 0.8165

0.8854 0.8152

0.8705 0.8443

0.8439 0.8372

0.8415 0.8025

0.8517 0.8216

0.8008 0.8096

0.8737 0.8187

0.8253 0.8482

0.8563 0.8404

0.8539 0.8225

0.8533 0.8213

0.8649 0.8238

0.8583 0.8072

0.8589 0.8093

0.8677 0.8177

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

The 90% confidence interval is ____ ounces <µ1-µ2<___ ounces.

(Round to four decimal places as needed.)

Does there appear to be a difference between the mean weights?

The mean weight for the generic soda appears to be (greater than,less than,equal to) the mean weight for the diet variety because the confidence interval contains (only positive values, zero, only negative values.)

Answer #1

Weight_of_Generic_Soda (X_{1} )
Weight_of_Diet_Soda (X_{2} )

0.8136 0.8635

0.8165 0.8615

0.8104 0.8633

0.8461 0.8608

0.8152 0.8666

0.8494 0.8509

0.8568 0.8327

0.8569 0.8136

0.8621 0.8066

0.8978 0.8167

0.8979 0.8095

0.8896 0.8037

0.8919 0.8197

0.8273 0.8593

0.8232 0.8664

0.8347 0.8592

0.8494 0.8727

0.8385 0.8552

0.8437 0.8744

0.8441 0.8396

0.8436 0.8165

0.8854 0.8152

0.8705 0.8443

0.8439 0.8372

0.8415 0.8025

0.8517 0.8216

0.8008 0.8096

0.8737 0.8187

0.8253 0.8482

0.8563 0.8404

0.8539 0.8225

0.8533 0.8213

0.8649 0.8238

0.8583 0.8072

0.8589 0.8093

0.8677 0.8177

Data on the weights (lb) of the contents of cans of diet soda
versus the contents of cans of the regular version of the soda is
summarized to the right. Assume that the two samples are
independent simple random samples selected from normally
distributed populations, and do not assume that the population
standard deviations are equal. Complete parts (a) and (b) below.
Use a 0.01 significance level for both parts.
a) the test statistic, t is ____ (Round two decimals...

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caffeine levels measured, in milligrams per 12 ounce serving. The
data is given below. Find the 99% confidence interval estimate of
the mean amount of caffeine in the entire population of this
generic soda.
34
35
35
36
36
36
38
38
38
38
38
39
40 40
41
42 43
43
...

6. A simple random sample of 31 cans of generic soda had their
caffeine levels measured, in milligrams per 12 ounce serving. The
data is given below. Find the 99% confidence interval estimate of
the mean amount of caffeine in the entire population of this
generic soda.
34 35 35 36 36 36 38 38 38 38 38 39 40
40 41 42 43 43 45 45 46 46 47 50 50 51
52 53 55 56 60

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