1 A certain brand of cigarettes' is advertised by the manufacturer as having mean nicotine content of 15 milligrams per cigarette A sample of 200 cigarettes is tested by an independent research laboratory and found to have an average of 16 2 milligrams of nicotine content and a standard deviation of 3 6 Using a 0 01 level of significance can we conclude based on this sample that the actual mean nicotine content of this brand of cigarettes is greater than 15 milligrams What hypothesis testing should be used State the alternative hypothesis Compute for the test statistic What should be the critical value What should be the decision Can we conclude based on this sample that the actual mean nicotine content of this brand of cigarettes is greater than 15 milligrams 2 A lathe is adjusted so that the mean of a certain dimension of the parts is 20 cm A random sample of 10 of the parts produced a mean of 20 3 cm and a standard deviation of 0 02 cm Do the results indicate that the machine is out of adjustment Test at 0 05 level of significance What hypothesis testing should be used State the alternative hypothesis Compute for the test statistic In finding the critical value in the t table, what degrees of freedom should be used What should be the critical value What should be the decision Do the results indicate that the machine is out of adjustment 3 An experiment to compare two fertilizer was conducted as follows the experimental units were 16 tomato plants (presumbly all of the same variety approximate size and health) planted in one row of a garden The experimenter randomly assigned 8 of the plants to get organic and 8 to get a possibly improved inorganic Experimental protocol and plant spacing let us further assume assured that the fertilizer used on one plant would not bleed into the adjacent plant sites The tomatoes were harvested when ripe and weighted Result is given in the table The question of interest is whether these data suggest choosing fertilizer over the other Organic Inorganic Mean 29 30 89 Variance 2 11 6 43 8 8 ActivateA developer of Ketogenic diet is interested in showing that it is effective He randomly chooses 5 subjects to go on the diet for 1 month He weighs each patient before and after the 1 month period to see whether there is evidence of decrease in weight (if weight after the diet minus weight before the diet is negative, it implies a weight loss) at the end of the month Use 0 01 level of significance After 66 52 68 69 71 Before 67 53 64 71 70

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1.A certain brand of cigarettes' is advertised by the manufacturer as having mean nicotine content of 15 milligrams per cigarette. A sample of 200 cigarettes

1.A certain brand of cigarettes' is advertised by the manufacturer as having mean nicotine content of 15 milligrams per cigarette. A sample of 200 cigarettes is tested by an independent research laboratory and found to have an average of 16.2 milligrams of nicotine content and a standard deviation of 3.6. Using a 0.01 level of significance can we conclude based on this sample that the actual mean nicotine content of this brand of cigarettes is greater than 15 milligrams?

What hypothesis testing should be used?
State the alternative hypothesis?
Compute for the test statistic?
What should be the critical value?
What should be the decision?
Can we conclude based on this sample that the actual mean nicotine content of this brand of cigarettes is greater than 15 milligrams?

2.A lathe is adjusted so that the mean of a certain dimension of the parts is 20 cm. A random sample of 10 of the parts produced a mean of 20.3 cm and a standard deviation of 0.02 cm. Do the results indicate that the machine is out of adjustment ? Test at 0.05 level of significance.

What hypothesis testing should be used?
State the alternative hypothesis?
Compute for the test statistic?
In finding the critical value in the t-table, what degrees of freedom should be used?
What should be the critical value?
What should be the decision?
Do the results indicate that the machine is out of adjustment?

3.An experiment to compare two fertilizer was conducted as follows: the experimental units were 16 tomato plants (presumbly all of the same variety approximate size and health) planted in one row of a garden. The experimenter randomly assigned 8 of the plants to get organic and 8 to get a possibly improved inorganic. Experimental protocol and plant spacing let us further assume assured that the fertilizer used on one plant would not bleed into the adjacent plant sites. The tomatoes were harvested when ripe and weighted. Result is given in the table. The question of interest is whether these data suggest choosing fertilizer over the other.

Organic Inorganic Mean 29 30.89 Variance 2.11 6.43 8 8 ActivateA developer of Ketogenic diet is interested in showing that it is effective. He randomly chooses 5 subjects to go on the diet for 1 month. He weighs each patient before and after the 1-month period to see whether there is evidence of decrease in weight (if weight after the diet minus weight before the diet is negative, it implies a weight loss) at the end of the month. Use 0.01 level of significance. After 66 52 68 69 71 Before 67 53 64 71 70