Use this information to answer questions 25 - 30. Wondra, a baby food manufactur

Question

Use this information to answer questions 25 - 30. Wondra, a baby food manufacturer, wishes to test whether babies gain more weight using their formula versus using the food of their primary competitor. They fed 15 babies Wondra and 25 babies the competitor’s food then recorded the weight gains. They conducted the proper statistical test and evaluated the results using an alpha of .05. Wondra Competitor Mean 36.9333333 31.36 Variance 17.9238095 11.24 Observations 15 25 Hypothesized Mean Difference 0 Df 24 t Stat 4.34605637 P(T<=t) one-tail 0.00010955 t Critical one-tail 1.71088208 P(T<=t) two-tail 0.00021909 t Critical two-tail 2.06389856 Which type of test should they use? Select one: a. Two-factor ANOVA b. One-factor ANOVA c. Difference of means – matched pairs d. Difference of means – independent Which type of distribution should they use for the statistical test? Select one: a. f b. Z c. Chi-Square d. From reading the scenario, is this a one-tail or two-tail test? Select one: a. Neither because it is an ANOVA b. One-tail c. Two-What is the proper null hypothesis? Select one: a. The weight gain means are the same. b. The weight gain means are not the same. c. Wondra babies mean weight gain is not more than the competitor’s mean weight gain. d. Wondra babies mean weight gain is more than the competitor’s mean weight gainWhat comparison should you use to determine if the samples' difference is significant? Select one: a. Compare .0001 to .0002 b. Compare 17.9 to 11.2 c. Compare .0001 to .05 d. Compare 1.71 to What is the correct conclusion based on the test result output? Select one: a. Reject the null. Wondra babies gained more than the competitor’s babies. b. Reject the null. Wondra babies gained a different amount than competitor’s babies. c. Accept the null. Wondra babies gained more than the competitor’s babies. d. Accept the alternate hypothesis. Wondra babies gained more than the competitor’s babies.

Explanation / Answer

Which type of test should they use?

d. Difference of means – independent

(Samples are independent from each other and we have to check significant difference in population means.)

Which type of distribution should they use for the statistical test?

d. t

(We use t distribution if the population standard deviations are unknown and sample sizes are smaller.)

From reading the scenario, is this a one-tail or two-tail test?

b. One-tail

(This is a one tailed test because alternative hypothesis consist of ‘µ1 > µ2’.)

(H0: µ1 µ2 versus Ha: µ1 > µ2)

What is the proper null hypothesis?

c. Wondra babies mean weight gain is not more than the competitor’s mean weight gain.

(Alternative hypothesis is ‘more than’ and that’s why null hypothesis is ‘not more than’ or ‘is equal or less’)

(H0: µ1 µ2 versus Ha: µ1 > µ2)

What comparison should you use to determine if the samples' difference is significant?

c. Compare .0001 to .05

(For drawing conclusions we compare p-value with alpha value or level of significance.)

What is the correct conclusion based on the test result output?

a. Reject the null. Wondra babies gained more than the competitor’s babies.

(Here, p-value = 0.0001 < alpha value = 0.05, so we reject the null hypothesis.)

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