1- The number of calories in a hamburger depends on what ingredients are included. The following...

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1- The number of calories in a hamburgerdepends on what ingredients are included. The following aredeterminations of calorific values of a sample of homemade largehamburgers:

350 375 400 356 378 379 340 320 330 324 360 390

Assume that the calorific values for the hamburgers are normallydistributed.

a) Find the standard error of thesample mean.

b) Obtain the 95% confidence intervalsfor the mean calorific values of the burgers.

2- The following show the number of hours asample of High school students from a local high school studied aweek:

21, 15, 18, 24, 15, 18, 20, 23, 24, 12, 10, 20, 12, 18, 20, 14,17

Assume that the weekly study hours are normally distributed.

a) find the 90% confidence intervalsfor the mean number of study hours.

b) find the margin of error for the95% confidence interval of the mean number of study hours for allstudents in this high school. The margin of error equals halflength of the confidence interval.

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