Question

In: Statistics and Probability

Measurements of the sodium content in samples of two brands of chocolate bar yield the following...

Measurements of the sodium content in samples of two brands of chocolate bar yield the following results (in grams):


Brand A: 34.36    31.26    37.36    28.52    33.14    32.74    34.34    34.33    33.95
Brand B: 41.08    38.22    39.59    38.82    36.24    37.73    35.03    39.22    34.13    34.33    34.98    29.64    40.60


Let μXμX represent the population mean for Brand B and let μYμY represent the population mean for Brand A. Find a 98% confidence interval for the difference μX−μYμX−μY. Round down the degrees of freedom to the nearest integer and round the answers to three decimal places.

The 98% confidence interval is: ( ____, ____ )

I have tried everything, and it says every answer is wrong.

Solutions

Expert Solution

First we will calculate the sample mean and sample standard deviation for both Brands.
For Brand A:

For Brand B:

Now we will calculate the confidence interval

Please upvote if you like the solution. Thanks.


Related Solutions

Measurements of the sodium content in samples of two brands of chocolate bar yield the following...
Measurements of the sodium content in samples of two brands of chocolate bar yield the following results (in grams): Brand A: 34.36    31.26    37.36    28.52    33.14    32.74    34.34    34.33    27.95 Brand B: 41.08    38.22    39.59    38.82    36.24    37.73    35.03    39.22    34.13    34.33    34.98    29.64    40.60 Let μXμX represent the population mean for Brand B and let μYμY represent the population mean for Brand A. Find a 98% confidence interval for the difference μX−μYμX−μY. Round down the degrees of freedom to...
4. A researcher testing sodium content of snack foods examines samples of two brands of potato...
4. A researcher testing sodium content of snack foods examines samples of two brands of potato chips that both claim to be low in sodium. A random sample of 25 lunch-size bags of chips for Super Chips indicates an average of 80 milligrams of sodium per bag, with a standard deviation of 5 milligrams. A second sample of 22 lunch-size bags of Real Potato Snacks shows an average of 77 milligrams of sodium per bag, with a standard deviation of...
Two brands of cigarettes are selected, and their nicotine content is compared. The data is below:...
Two brands of cigarettes are selected, and their nicotine content is compared. The data is below: Brand A: sample mean = 30.8, the sample standard deviation = 5, the sample size 37 Brand B: sample mean = 33.1, the sample standard deviation = 4, the sample size 46 A) Find the margin of error for 95% confidence interval of the true difference in the means B) Find the lower bound of 95% confidence interval of the true difference in means...
Marla is studying the sodium content of cold cuts. A random sample of 8 52-gm samples...
Marla is studying the sodium content of cold cuts. A random sample of 8 52-gm samples of smoked beef produced sample mean 14.04 gm of sodium with sample standard deviation 0.50 gm. An independent random sample of 6 52-gm samples of smoked turkey produced sample mean 13.52 gm sodium with sample standard deviation 0.75 gm. Test the claim that there is a difference in the mean sodium content of the above brands of smoked ham and smoked turkey. Use a...
which of the following dairy products contain the highest sodium content
which of the following dairy products contain the highest sodium content
Independent random samples from two regions in the same area gave the following chemical measurements (ppm)....
Independent random samples from two regions in the same area gave the following chemical measurements (ppm). Assume the population distributions of the chemical are mound-shaped and symmetric for these two regions. Region I: , 1008 852 567 749 764 727 945 657 880 773 1023 1002 Region II: , 1070 750 879 836 711 1070 706 866 608 892 891 965 998 1089 852 443 Let be the population mean for and be the population mean for Find a 90%...
QUESTION SEVEN a) A cigarette manufacturing firm distributes two brands of cigarettes. Two random samples are...
QUESTION SEVEN a) A cigarette manufacturing firm distributes two brands of cigarettes. Two random samples are selected and it is found that 56 of 200 smokers prefer brand Α and that 29 of 150 smokers prefer brandΒ . Can we conclude at the 0.05 level of significance that the percentage of smokers who prefer brand Α exceeds that of brand Β by more than 10%? b) An auditor claims that 10% of invoices for a certain company are incorrect. To...
1- Six measurements were made of the mineral content of spinach with the following results. It...
1- Six measurements were made of the mineral content of spinach with the following results. It is reasonable to assume the population is approximately normal. 19.1, 20.1, 20.8, 21.9, 20.5, 19.2 Find the lower bound of the 95% confidence interval for the true mineral content. Round to 3 decimal places. 2- Following are interest rates. It is reasonable to assume the population is approximately normal. 4.327, 4.461, 4.547, 4.778, 4.365, 4.528, 4.842 Find the upper bound of the 99% confidence...
Six measurements were made of the mineral content of spinach, with the following results. Assuming that...
Six measurements were made of the mineral content of spinach, with the following results. Assuming that the population is normally distributed, construct a 99% confidence interval for the population standard deviation of the mineral content of spinach, and write a sentence that interprets the interval. 19.1 20.8 20.8 21.4 20.5 19.7
5. Two brands of coffee were compared. Two independent random samples of 50 people each were...
5. Two brands of coffee were compared. Two independent random samples of 50 people each were asked to taste either Brand A or Brand B coffee, and indicate whether they liked it or not. Eighty four percent of the people who tasted Brand A liked it; the analogous sample proportion for Brand B was ninety percent. (A) [8] At α = 0.01, is there a significant difference in the proportions of individuals who like the two coffees? Use the p-value...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT