A random and independently chosen sample of four bags of horse carrots, each bag
ID: 3339458 • Letter: A
Question
A random and independently chosen sample of four bags of horse carrots, each bag labeled 20 pounds had weights of 20.5, 19.8, 20.8, and 20.0 pounds. Assume that the distribution of weights in the population is normal. With t-value= 1.20 and 5% level of significance, in each case report the alternative hypothesis the conclusion for each of the three parts. (Assume all conditions of CLT is met).
a) Test the hypothesis the population mean weight is not 20 pounds. (p-value = 0.315)
b) Test the hypothesis the population mean weight is less than 20 pounds. (p-value = 0.842)
c) Test the hypothesis the population mean weight is more than 20 pounds. (p-value = 0.158)
*please show me the work and how to do it*
Explanation / Answer
a)
p-value is greater than significance level of 0.05, we fail to reject null hypothesis. This means there are not sufficienct evidence to conclude that population mean weight is not 20 pounds.
b)
p-value is greater than significance level of 0.05, we fail to reject null hypothesis. This means there are not sufficienct evidence to conclude that population mean weight is less than 20 pounds.
c)
p-value is greater than significance level of 0.05, we fail to reject null hypothesis. This means there are not sufficienct evidence to conclude that population mean weight is more than 20 pounds.
Mean 20.2750 std.dev 0.4573 SE = std.dev./sqrt(n) 0.2287 t 1.2026Related Questions
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