In: Statistics and Probability
A newly engaged couple is trying to decide how much is reasonable to spend on a honeymoon. A published study cited by several wedding magazines indicated that the average honeymoon cost is normally distributed with a mean of $5,111 and a standard deviation of $1,621. The couple wants to spend no more than what a couple in the 75th percentile spends.
Group of answer choices
cannot do, assumptions violated
Two-sample proportion
Two dependent means
Two independent means
One-sample mean
One-sample proportion
Answer:
One-sample mean
Explanation:
Z for 75th percentile = 0.67449
X = µ + Z*σ = 5111 + 0.67449*1621 = 6204.348
For the given scenario, the null and alternative hypothesis are given as below:
H0: µ ≤ 6204 versus Ha: µ > 6204