Question
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
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?
__________________________________________________
b. What is the alternative hypothesis?
__________________________________________________
c. What is the level of significance?
__________________________________________________
d. What is/are the critical value/(s)?
________________________________________________
e. What is the test statistic?
________________________________________________
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?
__________________________________________________
b. What is the alternative hypothesis?
__________________________________________________
c. What is the level of significance?
__________________________________________________
d. What is/are the critical value/(s)?
________________________________________________
e. What is the test statistic?
________________________________________________
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?
__________________________________________________
b. What is the alternative hypothesis?
__________________________________________________
c. What is the level of significance?
__________________________________________________
d. What is/are the critical value/(s)?
________________________________________________
e. What is the test statistic?
________________________________________________
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