1. Which statement about a hypothesis test is true? a. The alternative hypothesi

Question

1. Which statement about a hypothesis test is true?

a. The alternative hypothesis says that the observed is due to chance.

b. With p-value = 0.0001 there is significance.

c. The test statistic is the probability of getting the observed value or extreme.

d. None of these are true.

2. Bags of a certain brand of potato chips claim to have a net weight of 12 ounces. Net weights actually vary slightly from bag to bag and are normally distributed with mean µ. A representative of a consumer advocated group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypothesis H0 : µ = 12 against Ha : µ < 12. To do this, the representative selects 16 bags of this brand at random and determines the net weight of each bag. The sample mean is x¯ = 11.98 and the sample standard deviation is s = 0.2. Calculate the test statistic.

a. z = -0.4

b. t = -0.1

c. t = -0.4

d. z = -0.1

e. t = 0.01

3. Among 20 golden hamster litters recorded, there was a sample mean of x¯ = 7.72 baby hamsters, with a sample standard deviation of s = 2.5 hamsters per liter. Create a 90% confidence interval for the mean number of baby hamsters per liter.

a. 7.72 ± 0.9665

b. 7.72 ± 0.9196

c. 7.72 ± 0.559

d. 7.72 ± 1.0957

e. 7.72 ± 2.5

Explanation / Answer

1)option C is correct

2)here std error =std deivaiton/(n)1/2 =0.05

hence test stat t=(X-mean)/std error = t=(11.98-12)/0.05=-0.4

option C

3)here std error =0.559

and for 19 degree of freedom and 90% CI, t=1.729

hence confidence interval =sample mean -/+ t*std error =7.72 -/+ 0.9665

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