An investigative journalist is writing a report about the amount of sodium in snack foods. They believe name-brand snack foods have higher sodium levels than store-brand snack foods. They randomly select 8 pairs of common snack food types (purchasing a name-brand and store-brand for each type) and use a lab to determine how much sodium is in every 100 grams of snack food.   Note: d=(Name-brand−Store-brand)   Name-brand (in milligrams) Store-brand (in milligrams) 519 519 469 462 418 410 328 327 741 740 637 632 282 270 554 541   Assume that both of the populations are normally distributed.  At the 0.10 level of significance, is there sufficient evidence to show there are higher sodium levels for name-brand snacks than store-brand snacks?   Find the test statistic, t0.  Round your answer to the nearest hundredth.

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An investigative journalist is writing a report about the amount of sodium in snack foods. They believe name-brand snack foods have higher sodium levels than store-brand snack foods. They randomly select 8 pairs of common snack food types (purchasing a name-brand and store-brand for each type) and use a lab to determine how much sodium is in every 100 grams of snack food.

 

Note: d=(Name-brand−Store-brand)

 

Name-brand (in milligrams) Store-brand (in milligrams)
519 519
469 462
418 410
328 327
741 740
637 632
282 270
554 541

 

Assume that both of the populations are normally distributed.  At the 0.10 level of significance, is there sufficient evidence to show there are higher sodium levels for name-brand snacks than store-brand snacks?

 

Find the test statistic, t0.  Round your answer to the nearest hundredth.

 

 

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