A study examined the fat content in grams) for samples of beef and meat hot dogs

Question

A study examined the fat content in grams) for samples of beef and meat hot dogs The resulting 90% confidence interval for parts a) through c) below a) The of this confidence interval have opposite signs. What does that indicate? O A The type of hot dog with a higher mean fat content cannot be determined O B. The mean lat content is probably higher for beef hot dogs ° C. The mean tat contents for each type of hot dog varies greatly from the other 0 D. The mean fat c b) What does the fact that the confidence interval contains 0 indicate? O A. The difference in the two sample means is significant B. There is no difference between the two samples ° C. The difference n the two sample means is insignificant. O D. Both samples have a lot of vaniation t we use this confidence interval to test the hypothesis that pseat Waer-0, what's the coresponding alpha lever?

Explanation / Answer

Solution

(a) Option (b) The mean fat content is probably higher for beef hot dogs ;

confidence interval margin of error = +-4.8 = 2*Margin of error

Magin of error = 2.4

So mean difference is -0.8

(b) Option (b) there is no difference between the two samples,  If a confidence interval for a mean difference includes 0, the data are consistent with a population mean difference of 0. If the difference is 0, the population means are equal.

(c) alpha will be 10% (as 90% confidence interval)

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