According to a flyer created by BroadwayPartyRental.com, their 18-inch helium balloons fly,

on average, for 32 hours. You purchase a SRS of 50 18-inch helium balloons from this

company and record how long they fly. You would like to know if the actual mean flight time of all balloons differ from the advertised 32 hours.


1. State an appropriate pair of hypotheses for a significance test in this setting. Be sure to define the parameter of interest.


2. A 95% confidence interval for the mean flight time (in hours) for all helium balloons is (28.5, 31.4). Based on this interval, what conclusion would you make for a test of the hypotheses in #1 at the a=0.05 significance level?

Respuesta :

According to the described situation, it is found that:

1. [tex]H_0: \mu = 32[/tex], [tex]H_1: \mu \neq 32[/tex].

2. Since the interval does not include 32, hence you can reject the null hypothesis and there is enough evidence to conclude that the actual mean flight time of all balloons differ from the advertised 32 hours.

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean flight time is of 32 minutes, that is:

[tex]H_0: \mu = 32[/tex]

At the alternative hypothesis, it is tested if it differs of 32 minutes, hence:

[tex]H_1: \mu \neq 32[/tex]

What is the decision?

The confidence interval is of (28.5, 31.4), that is, is does not include 32, hence you can reject the null hypothesis and there is enough evidence to conclude that the actual mean flight time of all balloons differ from the advertised 32 hours.

More can be learned about an hypothesis test at https://brainly.com/question/26454209