Find the value of c such that an interval from x to cx is a (1- a)100% confidence interval for the parameter 0.
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A: The confidence interval can be calculated as:
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- Ferulic acid is a compound that may play a role in disease resistance in corn.. A botanist measured the concentration of soluble ferulic acid (nmol acid per gm tissue) in corn seedlings grown in the dark or in a light/dark photoperiod. The data are shown in the table below: Sample 1: Dark 92 117 88 91 107 109 100 101 87 87 Sample 2: Photoperiod 111 127 104 115 129 124 123 121 120 117Derive that the lower bound of one-sided confidence interval is L = Ô – CaSE[j].#11 A sample of 2,018 American adults was asked how they viewed China, with 13% of respondents calling the country "unfriendly" and 9% of respondents indicating the country was "an enemy". Construct a 95% confidence interval of the proportion of American adults who viewed China as either "unfriendly" or "an enemy." Multiple Choice [0.2049, 0.2351] [0.1916, 0.2484] [0.2111, 0.2289] [0.2019, 0.2381]
- In random, independent samples of 225 adults and 200 teenagers who watched a certain television show, 112 adults and 138 teens indicated that they liked the show. Let p1 be the proportion of all adults watching the show who liked it, and let p2 be the proportion of all teens watching the show who liked it. Find a 95% confidence interval for −p1p2. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. a.) The Lower Limit is: b.) The Upper Limit is:Let Y = β0 + β1x + E be the simple linear regression model. What is the interpretation of the least squares estimate for β0? Select one: a. It is an estimate of the expected value of the response variable Y when the explanatory variable X is zero. b. It is an estimate of the change in the expected value of the explanatory variable X for every unit increase in the response variable Y. c. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X. d. It is an estimate of the expected value of the explanatory variable X when the response variable Y is zero.If n=16, ¯xx¯(x-bar)=35, and s=17, construct a confidence interval at a 80% confidence level. Assume the data came from a normally distributed population.Give your answers to one decimal place. I used the formula 35-NORM.INV(1-2.0/2,0,1)*((17)/SQRT(16)) for the lower and the same but with a plus sign for the upper, I got it wrong and dont understand why. We have to use Excel so please explain what excel formula to use.
- A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about μ if the sample size, n, is 16. (b) Construct a 98% confidence interval about µ if the sample size, n, is 12. (c) Construct a 70% confidence interval about u if the sample size, n, is 16. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 98% confidence interval about μ if the sample size, n, is 16. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.)In random, independent samples of 200 adults and 300 teenagers who watched a certain television show, 124 adults and 153 teens indicated that they liked the show. Let p, be the proportion of all adults watching the show who liked it, and let p, be the proportion of all teens watching the show who liked it. Find a 90% confidence interval for p,-p,. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: O OAssume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90%, σ is not known, and the normal quantile plot of the 17 salaries (in thousands of dollars) of basketball players on a team is as shown.
- Consider an investor borrowing at the risk free rate and investing a share of his wealth greater than one in the market portfolio. The beta of this investor’s portfolio is Equal to one Smaller than one Larger than one Equal to zeroExpress the confidence interval (0.034,0.116) in the form of p−E<p<p+E.Express the confidence interval (0.044,0.110) in the form of p−E<p<p+E.