A random sample of 100 daily stock returns was taken. The average return in the sample appeared to be 4.81%. The population standard deviation is not known, but the sample standard deviation is known to be 0.9%.
a. Calculate a 95% confidence interval for the average stock return
b. If the sample contained 150 stock returns, would the confidence interval found in problem 3 a) become wider? . Yes 2. No 3. The question cannot be answered with the data provided c.How big the sample size be for the margin of error of 0.1% at the confidence level 95%?
d. A fund manager claims that the average stock return is higher than 4.81%. Test the fund manager’s claim with the 5% level of significance.
A random sample of 100 daily stock returns was taken. The average return in the sample...
A random sample of 144 checking accounts at a bank showed an average daily balance of $295. The standard deviation of the population is known to be $72. Please answer the following questions: (a) Find the standard error of the mean. (b) Give a point estimate of the population mean. (c) Construct a 95% confidence interval estimates for the mean.
3) A random sample of 35 Hollywood movies made since the years 2010 had a mean length of 121.6 minutes, with a standard deviation of 20.4 minutes. a) Construct a 98% confidence interval for the true mean length of all Hollywood movies made since 2010. Interpret your answer. b) As of June 2013, three Ironman movies have been released, and their mean length is 127 minutes. Someone claims that the mean length of Ironman movies is less than the mean...
12. A random sample of n = 12 months of stock returns is taken and the sample variance of mont returns (s2) is found to be 16, Provide a 95% confidence interval for the estimate of the population variance (σ). (5 points)
A certain brokerage house wants to estimate the mean daily return on a certain stock. A random sample of 13 days yields the following return percentages: -287-2.57.-2.52,28.-11.028, 261,-0.96, 2.45,229.1.47, 148,-0.26 If we assume that the returns are normally distributed, find a 95% confidence interval for the mean daily return on this stock. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (if necessary, consult a list of...
a-c please
2. A random sample of 144 checking accounts at a bank showed an average daily balance of $295. The standard deviation of the population is known to be $72. Please answer the following questions: (a) Find the standard error of the mean. (b) Give a point estimate of the population mean. (c) Construct a 95% confidence interval estimates for the mean.
Question text P1. A random sample was taken from 100 individuals to whom the blood glucose level was measured, obtaining a sample mean of 110 mg / cc. The population standard deviation is known to be 20 mg / cc. to. Estimate the standard error for the sample average. (5 pts) b. Calculate the error if a confidence interval for the mean is to be constructed with 90% confidence. (5 pts) c. Build the confidence interval for the average or...
It is known that the average return on a stock is 25.2% with the standard deviation equal to 17.4%. A simple random sample of 68 returns is to be selected and the average return of the sample is to be found. You can say that this sample average is a random variable. What is the standard deviation of this random variable? Round your answer to 2 decimal places.
The average daily volume of a computer stock in 2011 was u = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 27.5 million shares, with a standard deviation of s = 14.9 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a)...
7. In a sample of 100 boxes of a certain type, the average compressive strength was 6230 N, and the standard a. Find a 95% confidence interval for the mean com- b Find a 99% confidence interval for the mean com- c. An engineer claims that the mean strength is be- deviation was 221 N pressive strength of boxes of this type. pressive strength of boxes of this type. tween 6205 and 6255 N. With what level of confi dence...
You collect a small sample of 20 fund returns, which turns out to have a sample mean of 7 % and a sample standard deviation of 6 %. Assuming fund returns are normally distributed, what is the lower bound of the 95% confidence interval for fund returns? The answer should be 4.19. You can use Excel to solve, just show the formulas that were used.