A recent study stated that if a person chewed gum the average number of sticks of gum he or she chewed daily was eight. To teat the claim a researcher selected a random sample of 36 gum chewers and found the mean number of sticks of gum chewed per day was 9 and the standard deviation was 1. At alpha equals 0.05 is the number of sticks of gum a person chews per day actually greater than 8.

Question

A recent study stated that if a person chewed gum the average number of sticks of gum he or she chewed daily was eight.   To teat the claim a researcher selected a random sample of 36 gum chewers and found the mean number of sticks of gum chewed per day was 9 and the standard deviation was 1.  At alpha equals 0.05 is the number of sticks of gum a person chews per day actually greater than 8.

MathGuru · Answer

I'll give you a few hints to help get you started on this one.

Ho: µ = 8 --->meaning: the population mean is equal to 8.
Ha: µ > 8 --->meaning: the population mean is greater than 8.

Using a one-sample z-test formula to find the test statistic:
z = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)
z = (9 - 8)/(1/√36)

Finish the calculation and determine whether or not to reject the null hypothesis (Ho). If the null is rejected, then µ > 8.

I hope this will help.

Lebanna · Answer

6.16