MODULE 22. A sample of 20 bags of the same brand of candies was selected and found a mean weight of120 grams. Assume that the population distribution of bag weights is normal. The weight ofeach bag was then recorded. The population standard deviation is known to be 2.1 grams.Construct a 90% confidence interval for the population mean weight of the candies.3. A survey of 200 Internet users shows that they spend an average of 2 hours and 22 minutes perday on social networking. If the margin of error is 2.2 hours at 95% confidence, construct theconfidence interval.4. Suppose that a government law office does a study to determine the time needed to completeone personal profile sheet for consultation. It randomly surveys 100 people. The sample meanis 23.6 minutes. There is a known standard deviation of 7.0 minutes. The population distributionis assumed to be normal. Construct a 95% confidence interval for the population mean tocomplete the form.5. A camp counselor is interested in the mean number of text messages each child sends duringtheir camp sessions. The population standard deviation is known to be 2.2 text messages. Asurvey of 20 campers is taken. The mean from the sample is 12.9. Construct a 99% confidenceinterval for the population mean number of text messages campers send home.6. A survey of 500 people finds they sleep an average of 7.8 hours per night. If the margin of errorat 97% confidence level is 1.3 hours, construct the confidence interval.7. Suppose you wanted to estimate the mean number of hours that SHS students in certain schoolspend on their math homework. You don't know the actual mean, but the previous study showsthat the standard deviation of all students is 3.2 hours. In a sample of 35 students, the averagenumber of hours spent on homework was 10.4. Create a 90% confidence interval to estimatethe average for all SHS students in a school. Assume the underlying population is normallydistributed, construct a 95% confidence interval.8. A quality control specialist for a five-star hotel restaurant takes a random sample of size 12 tocheck the amount of fruit juice served in the 16-ounce serving size. The sample mean is 15.30with a population standard deviation of 1.55 ounces.9. The quantity of hemoglobin in the bloodstream of a man follows a normal distribution with astandard deviation of 2.3 g/dl. Calculate the confidence level for a sample of 15 men, whichindicates that the population mean blood hemoglobin is between 14 and 17 g/dl.10. The weekly sales of an online seller are distributed according to a normal property, with astandard deviation of 900 pesos. A statistical study of sales in the last 10 weeks has found aconfidence interval for the mean of weekly sales with extremes of 4,663 and 5,839 pesos.a. What is the average sales over the 10-week period?b. What is the confidence level for this interval?

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