MATH 40 SP '11 HYPOTHESIS TESTS - PRACTICE PROBLEMS

MATH 40 SP '11 HYPOTHESIS TESTS - PRACTICE PROBLEMS -...

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HYPOTHESIS TEST FOR μ – PRACTICE PROBLEMS 1. Sunbeam Sweets distributes bags of fruit candies labeled with a mean weight of 72 grams. Sunbeam’s quality control manager suspects that the bag-filling machines are putting too much candy into the bags. A random sample of 36 bags is found to have a mean weight of 72.9 grams. At the 10% significance level, do the data provide sufficient evidence to conclude that the mean weight is greater than 72 grams? State the null hypothesis and the alternative hypothesis. (A) 72 : ; 72 : 1 0 = μ H H (B) 72 : ; 72 : 1 0 H H (C) 9 . 72 : ; 9 . 72 : 1 0 < = H H (D) 72 ; 72 : : 1 0 < H H (E) 72 : ; 72 : 1 0 < H H 2. A bank believes that its average ATM withdrawal is $50. A sample of 100 ATM withdrawals has a mean of $48.50 with a standard deviation of $8. At a significance level of 0.10, is there sufficient evidence to conclude that the average ATM withdrawal is less than $50? [Note: This is a hypothesis test using the critical value approach. Please note: A “yes” answer means the null hypothesis is rejected; a “no” answer means the null hypothesis is not rejected. ] (A) Yes, because: -1.875 < -1.6604 (B) No, because: -1.875 > -1.9842 (C) Yes, because: -1.875 < -1.2902 (D) No, because: -0.188 > -1.2902 (E) No, because: -0.188 > -1.6604 Math 40 –SP ‘11 Instructor: Chris Clark 1
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3. Dazzle Toothpaste sells toothpaste in tubes which are labeled with a weight of 8.2 ounces. The quality control engineer believes that the tube-filling machine may be putting too little toothpaste into the tubes. A random sample of 25 tubes yields a mean weight of 8.08 ounces. The p -value for a left-tail hypothesis test is 0.0285. A
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MATH 40 SP '11 HYPOTHESIS TESTS - PRACTICE PROBLEMS -...

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