Question

In: Statistics and Probability

A newly engaged couple is trying to decide how much is reasonable to spend on a...

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

Solutions

Expert Solution

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


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