Scientists want to estimate the mean weight of mice after they
have been fed a special diet. From previous studies, it is known
that the weight is normally distributed with standard deviation 3
grams. How many mice must be weighed so that a 99% confidence
interval will have a margin of error of 0.5 gram?
Given,
SD = 3
E = 0.50
For 99% confidence, z = 2.576
Hence,
Sample size required

n = 239
Scientists want to estimate the mean weight of mice after they have been fed a special...
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation 5 grams. How many mice must be weighed so that a 95% confidence interval will have margin of error of 0.6 grams? Write only an integer as your answer. Six measurements were made of the mineral content (in percent) of spinach, with the following results. It is reasonable...
Question 13 (5 points) Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation 5 grams. How many mice must be weighed so that a 95% confidence interval will have margin of error of 0.5 grams? Write only an integer as your answer. Your Answer: Answer Question 17 (5 points) In the computer game World of Warcraft, some...
5) In a simple random sample of 59 electronic components produced by a certain method, the mean lifetime was 1,114 hours. Assume the component lifetimes are normally distributed with population standard deviation 55 hours. What is the upper bound of the 95% confidence interval for the mean lifetime of the components? Round to nearest integer. 6) Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to...
Accuracy of a laboratory scale. To assess the accuracy of a laboratory scale, a standard weight known to weigh 10 grams is weighed repeatedly. The scare readings are Normally distributed with unknown mean (this mean is 10 grams if the scale has no bias). The standard deviation of the scale readings is known to be 0.0002 grams. a) The weight is measured six times. The mean result is 10.0023 grams. Give a 99% confidence interval for the mean of repeated...
A laboratory scale is known to have a standard deviation of 0.001 gram in repeated weighing. Scale reading in repeated weighing are normally distributed with mean equal to true weight of the specimen. Another specimen is weighed 8 times on this scale. The average weight is 4.1602 grams. Give a 99% confidence interval for the true weight of this specimen.
deviation of $200. Construct a 95% confidence interval. opulation standard 3. According to a study, 21.1% of 507 female college students were on a of the study. diet at the time a) Construct a 99% confidence interval for the true proportion of all female students who were on a diet at the time of this study. b) Explain what this interval means. c) Is it reasonable to think that only 17 % of college women are on a diet? 4/To...
To assess the accuracy of laboratory scale, a standard weight known to weigh 10 grams is weighed repeatedly. The weight is weighed 40 times. The mean result is 10.230 grams. The standard deviation of the scale readings is 0.020 gram. (a) Give a 98% confidence interval for the mean of repeated measurements of the weight. Round your answers to three decimal places. (b) How many measurements must be averaged to get a margin of error of ±.001 with 98% confidence?
9. A simple random sample of 37 weights of pennies made after 1983 has a sample mean of 2.4991 g and a known population standard deviation of 0.0165 g. a. Construct a 99% confidence interval estimate of the mean weight of all such pennies. b. Design specifications require a population mean of 2.5 g. What does the confidence interval suggest about the manufacturing process? 10. A random sample of 40 students has a mean annual earnings of $3120 and a...
7. You want to estimate the mean weight loss of people one year after using a popular weight-loss (1 point) program being advertised on TV. How many people on that program must be surveyed if we want to be 95% confident that the sample mean weight loss is within 0.25 ib of the true population mean? Assume that the population standard deviation is known to be 10.6 lb. 6907 0 4865 O 84 O6906 3. Given the standard deviation of...
We want to estimate the mean weight of all 7th grade boys in a city. It is not known whether the distribution of the weights is normal or not. Suppose we have a random sample of 25 boys from 7th grade from that city and suppose the mean weight of these 25 boys is 50 Kilograms and the standard deviation is 5.6 kilograms. What is the 99% confidence interval for the mean weight (in Kilograms) of all boys in 7th...