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Measurements of the sodium content in samples oftwo brands of chocolate bar yiel

ID: 3332061 • Letter: M

Question

Measurements of the sodium content in samples oftwo brands of chocolate bar yield the following results (in grams) Breand 31 09 38 29 3 5 38 52 Brand A: 34.36 31.26 37.36 28.52 33.14 32.74 34.34 34.33 34.95 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 24 77 550 24933498 2864 40 50 ort e difference·x . Rund the degree of re Let represent the population mean for Brand B and let Y represent the population mean for Brand A Find a 98% confidence inter a round the answers to three decimal places. om the nearest nteger and The 98% confidence interval is (

Explanation / Answer

The statistical software output for this problem is:

Two sample T confidence interval:
1 : Mean of Brand B
2 : Mean of Brand A
1 - 2 : Difference between two means
(without pooled variances)

98% confidence interval results:

Hence,

The 98% confidence interval is (0.471, 6.853)

Difference Sample Diff. Std. Err. DF L. Limit U. Limit 1 - 2 3.6622222 1.2564393 18.980991 0.47122497 6.8532195