Read the following situations and answer the questions that follow.

1. The owner of a company that sells a particular tempura claims that the averagecapacity of a small pack is 250 mg and standard deviation of 2.5 mg. A randomsample of 60 small packs of tempura have a mean mass of 245 mg. At 0.05 levelof significance, is there a sufficient evidence to the support the claim of theowner?

a. What is the null hypothesis?

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b. What is the alternative hypothesis?

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c. What is the level of significance?

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d. What is/are the critical value/(s)?

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e. What is the test statistic?

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2. A new machine is being considered to replace the old machine presently used.

This new machine for 15 consecutive days with following results: 128, 120, 118,

122, 122, 124, 126, 110, 125, 118, 125, 119, 130, 118, 126. If the averageoutput per day using the old machine is 120 units, is the management justifiedin stating the output per day can be increased with the new machine? Use a 0.05 level of significance.

a. What is the null hypothesis?

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b. What is the alternative hypothesis?

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c. What is the level of significance?

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d. What is/are the critical value/(s)?

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e. What is the test statistic?

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3. To determine which type of soap detergent used for washing dishes, M or N,

is more effective in increasing the average number of plates cleaned, a researcher

recorded the number of plates cleaned by 9 individuals. Is there a significantdifference between the mean number of plates cleaned M or N? Use 0.02 level ofsignificance and assume the population variances to be equal.

X 21 18 14 20 11 19 8 12 13

Y 12 14 10 8 16 5 3 9 11

a. What is the null hypothesis?

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b. What is the alternative hypothesis?

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c. What is the level of significance?

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d. What is/are the critical value/(s)?

________________________________________________

e. What is the test statistic?

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