Amusic industry professional claims that the average amount of money that an average teenager spends per month on music is at least $50. based upon previous research, the population standard deviation is estimated to be $12.42. the music professional surveys 20 students and finds that the mean spending is $47.77. is there evidence that the average amount spent by students is less than $50 at a significance level of 0.10?

We conclude average amount of money that an average teenager spends per month on music is at least $50. There is not enough evidence to

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $50

Sample mean, = $47.77

Sample size, n = 2-

Alpha, α = 0.10

Population standard deviation, σ = $12.42

First, we design the null and the alternate hypothesis

We use one-tailed(left) z test to perform this hypothesis.

Formula:

Putting all the values, we have

Now,

Since,  

We fail to reject the null hypothesis and accept the null hypothesis. Thus, we conclude average amount of money that an average teenager spends per month on music is at least $50. There is not enough evidence to support the claim.

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step-by-step explanation: