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A formal hypothesis test is to be conducted to test the claim that the wait times at the Space Mountain ride in Walt Disney World have a mean equal to 48 minutes
Complete parts (a) through (d).

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Using the principle of hypothesis testing ; the null, alternative hypothesis and the possible conclusion about the hypothesis are :

  • [tex] H_{0} : \mu = 49 [/tex]

  • [tex] H_{1} : \mu ≠ 3 [/tex]

  • Fail to reject the Null if the test statistic is less extreme than the critical value

  • Reject the Null ; if the test statistic is more extreme than the critical value

1.)

The null hypothesis ls the initial truth, it is the hypothesis we either reject or fail to reject.

  • [tex] H_{0} : \mu = 49 [/tex]

2.)

The alternative hypothesis will be the opposite of the null :

  • [tex] H_{1} : \mu ≠ 3 [/tex]

3.)

There are two possible conclusions we can make about our null hypothesis, which are ;

  • Fail to reject the Null if the test statistic is less extreme than the critical value

  • Reject the Null ; if the test statistic is more extreme than the critical value

Therefore, there are two possible conclusions that can be made about the null hypothesis.

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