Question

"Hot Tamales" are chewey, cinnamon flavored candies. A bulk vending machine is known to dispense, on average, 15 Hot Tamales per bag. A student chose to test that claim by randomly obtaining 125 bags of Hot Tamales and counting the number of candies per bag. The sample mean number of candies was 15.6 with a standard deviation of 1.7.

A) to test whether the true mean of candies dispensed is different than the vending machine claim, state the null alternative hypothesis.

B) What is the critical t or z value of this problem?

C) what is the p-value for this problem?

D) At the .05 level of significance, what is your conclusion? Explain how you know.

Answer 1

(A)
H0: Null Hypothesis: = 15

HA: Alternative Hypothesis: 15

(B)

= 0.05

ndf = n - 1 = 125 - 1 = 124

From Table, critical values of t = 1.9793

(c)

SE = s/

= 1.7/ = 0.1521

Test statistic is:

t = ( - )/SE

= (15.6 - 15)/0.1521 = 3.9448

So,

t score = 3.9448

ndf = 124

Two Tailed test

From Technology, p-value = 0.000133

(D) Since p-value = 0.000133 is less than = 0.05, Reject H0.

Conclusion:
The data do not support the claim that a bulk vending machine is dispensing , on average, 15 Hot Tameles per bag.