The number of sleep hours for adults is normally distributed with mean 7 hours and standard deviation 1.7 hours. How large a sample should be selected if we we wish our estimate to be correct within 30 minutes with 95% confidence?
a) 44
b)45
c)12
d)11
Solution :
Given that,
standard deviation = = 1.7
margin of error = E = 0.5
Z/2 = 1.96
Sample size = n = ((Z/2 * ) / E)2
= ((1.96 * 1.7) / 0.5)2
= 45
Sample size = 45
The number of sleep hours for adults is normally distributed with mean 7 hours and standard...
The number of hours of sleep in a night is normally distributed in adults, with a mean of 7.2 hours and a standard deviation of 1.7 hours. Suppose a randomly selected adult sleeps 7.3 hours in a night. What percentile are they - that is, what percentage of adults do they sleep more than?
The number of hours adults sleep per night is normally distributed with a mean of 7.3 hours. Aussum that the standard devation is unknown. question: if 70% of adults sleep more than 6.5 hours per night, what is the variance? (remember the label)
The IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that the mean IQ score in a random sample of 50 adults will be more than 95?
The IQ scores of adults are normally distributed with a mean 100 and a standard deviation of 15. If a group of 64 adults is randomly selected, what is the probability that their mean IQ will be at least 95? A. 0.6293 B. 0.3707 C. 0.9962 D. 0.0038
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 20 hours. If a sample of 30 bulbs has an average life of 780 hours, how large a sample is needed if we wish to be 95% confident that our sample mean will be within 4 hours of the true mean. a. 62 b. 68 c. 100 d. 97
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours. If a sample of 30 bulbs has an average life of 780 hours, find a 96% confidence interval for the population mean of all bulbs produced by this firm. How large a sample is needed if we wish to be 96% confident that our sample mean will be within 10 hours of the true mean?
Based on a random sample of 1180 adults, the mean amount of sleep per night is 7.85 hours. Assuming the population standard deviation for amount of sleep per night is 1.4 hours, construct and interpret a 95% confidence interval for the mean amount of sleep per night. A 95% confidence interval is (DD Round to two decimal places as needed.) Interpret the confidence interval O A. O B. ° C. 0 D. We are 95% confident that the interval actually...
Based on a random sample of 1040 adults, the mean amount of sleep per night is 8.37 hours. Assuming the population standard deviation for amount of sleep per night is 2.7 hours, construct and interpret a 95% confidence interval for the mean amount of sleep per night. A 95% confidence interval is (DD (Round to two decimal places as needed.)
Based on a random sample of 1160 adults, the mean amount of sleep per night is 8.49 hours. Assuming the population standard deviation for amount of sleep per night is 3.6 hours, construct and interpret a 95% confidence interval for the mean amount of sleep per night. A 95% confidence interval is (_____,_______). (Round to two decimal places as needed.)
Suppose that pizza delivery times are normally distributed with a population standard deviation of 6 minutes. A random sample of 50 pizza delivery restaurants is taken and has a sample mean delivery time of 36 minutes. Construct a 90% confidence interval for the population mean delivery time. What is the sample mean? 6 1.87 36 1.64 What is the sample size? 8.33 90 50 36 What is the population standard deviation? 0.85 50 36 6 What is the confidence level?...