(5) You take a random sample from some population and form a 98% confidence interval for the population mean, . Which quantity is guaranteed to be in the interval you form? A. 0 B. C. D. 198
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- A population has a mean of 50, and the standard deviation is 10. You take several samples and calculate sample means. 95% of these sample means lie between 46 and 54. What was the size of each sample? n= 1) 5 2) 4 3) 10 4) 2518 A sample of n=8 scores has a mean of M=12. One new score is added to the sample and the new mean is found to be M=13. What is the value of the new score?Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
- You are trying to estimate the population mean p after taking a random sample from that population. Which of the following best represents a Margin of Error of about +/- 5% around the sample mean X? In other words, which best represents "95% confidence interval" around the observed mean, X? (In this notation, +/- stands for "plus or minus"; SD stands for "standard deviation"; and SE stands for "standard error.") p=X +- 2(SE) H= 2(SE) +/- X p =X+- 2(SD)helpProblem Solving. Solve the following problems. No immediate rounding. Round off final answers to three decimal places. A protective enchantment which alerts the Charms professor when a death eater attacks a magical school is designed to have a 90% reliability rate. Suppose that the nine magical schools equipped with this enchantment experienced an attack from the death eaters. Define the random variable X as the number of Charms professors alerted out of nine. Assuming that protective enchantment alerts are independent 1. Write down the associated PMF of X. 2. Compute for the probability of alerting at least 7 Charms professors.
- Which of the following statements below is incorrect about Type II error? The larger the effect size, the smaller the power of the test will be. For a given probability of type I error, the probability of type II error can be reduced by increasing the sample size. The power of a test is equal to 1-3, where represents the probability that a hypothesis test does not reject a false null hypothesis. The effect size measures the distance between the true population proportion and the value assumed for it in the null hypothesis.ch.8 proportions question4 Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval for a sample of size 143 with 65% successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.C.I. =The weekly expenditure on groceries of a random sample of 100 family households was recorded. It was estimated that the mean expenditure was approximately $240. With rising interest rates and petrol prices, it was anticipated that grocery expenditure might decrease. Which hypothesis test would you use to test this claim? 1.One tailed, one sample t-test 2.Two tailed, one sample t-test 3.One tailed, z-test 4.One-tailed Paired Samples t-test 5.Chi Square
- Question3: It is known that the population wellbeing level follows a normal distribution. The wellbeing levels of 9 male is shown below. 2 | 247 3 | 34569 4 | 7 Use the sample data to calculate the 95% confidence interval Would we reject the hypothesis that the male has a statistically significant different wellbeing level from female at a 1% significance level? (hint: use the data above to conduct a statistic test, specify 4 steps)1ASK YOUR TEACHER Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.t An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 14 7 10 11 12 19 14 11 9 8 23 19 13 7 10 7 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and a = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 11%; H,: µ 11%; right-tailed O Ho: H + 11%; H,: u = 11%; two-tailed O Ho: H = 11%; H,: u + 11%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your…
