a shipment indicated a mean weight of 153.5 grams per banana. Is there sufficient evidence to reject the company's claim? Use a=0.05. 2. The label on can of pineapple slices states that the mean carbohydrate content per serving of canned pineapple is over 50 grams. It may be assumed that the standard deviation of the carbohydrate content is 4 grams. A random sample of forty servings has a mean carbohydrate content of 52.3 grams. Is the company correct in its claim? Use a= 0.05. 3. A manufacturer claims that the average lifetime of his lightbulbs is 3 years or 36 months. The standard deviation is 8 months. Fifty bulbs are selected, and the average lifetime is found to be 32 months. Should the manufacturer's statement be rejected at a=0.01? 4. The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 45 months. A consumer protection agency that wants to check this claim took a random sample of 36 such batteries and found that the mean life for this sample is 43.75 month with a standard deviation of 4 months. Using the 2.5% significance level, would you conclude that the mean life of these batteries is less than 45 months? 5. A sociologist believes that it costs more than Php 90 000 to raise a child from birth to age one. A random sample of 49 families, each with a child is selected to see if this figure is correct. The average expenses for these families reveal a mean of Php 92 000 with a standard deviation of Php 4500. Based on these sample data, can it be concluded that the sociologist is correct in his claim? Use 0.05 level of significance