SOLUTION: A local weight-loss company suggests that the average client loses 15 pounds during the first month. A consumer advocate group feels that the actual number of pounds lost is much l

Question 691083: A local weight-loss company suggests that the average client loses 15 pounds during the first month. A consumer advocate group feels that the actual number of pounds lost is much less than this. To test the claim, they select 30 of the clients at random and obtain the following data: Pounds Lost During the 1st Month: 16 20 14 15 14 18 19 20 9 13 20 11 12 18 13 17 11 21 14 15 15 13 17 12 9 20 16 18 21 11 A hypothesis test is conducted. a. State the null and alternative hypotheses. b. The test statistic is t = 0.6107 with p-value = 0.7269. Based on this information, what is the conclusion of the hypothesis test? Justify your answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A local weight-loss company suggests that the average client loses 15 pounds during the first month. A consumer advocate group feels that the actual number of pounds lost is much less than this. To test the claim, they select 30 of the clients at random and obtain the following data: Pounds Lost During the 1st Month: 16 20 14 15 14 18 19 20 9 13 20 11 12 18 13 17 11 21 14 15 15 13 17 12 9 20 16 18 21 11 A hypothesis test is conducted.
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a. State the null and alternative hypotheses.
Ho: u >= 15 (claim)
Ha: u < 15
b. The test statistic is t = 0.6107 with p-value = 0.7269.
Based on this information, what is the conclusion of the hypothesis test? Justify your answer.
-------
Since the p-value is greater than 5%,fail to
reject Ho at the 5% level of significance.
----
The average loss of weight is too high to deny that the average
loss is not at least 15 lbs.
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Cheers,
Stan H.
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