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- A nutritionist took a random sample of 60 college students at Harvard and made a 95% confidence interval for the average calories consumed in a day. The interval that the researcher obtained was 2350 to 2620. A) about 95% of the population of students at Harvard is between 2350 and 2620, true or false? B) if the nutritionist had taken a sample of 100 college students. Would the 95% confidence interval with n= 100 be wider or narrower than the 95% confidence interval with n= 60 students?•If n=32, x=26.2, a 5.15,a=0.01:answer the following Two questions 021. The confidence interval for the population mean is C) (24.42, 27.56) A) (26.08, 26.32) B) (24.42, 27.98) D) (23.86, 28.54) Q22. The maximum error (the margin of error) of the estimation "E" is: C) 2.34 B) 0.78 A) 1.78 D) 0.62 A -0.637If n=21, ¯x(x-bar)=31, and s=7, construct a confidence interval at a 99% confidence level. Assume the data came from a normally distributed population.Give your answers to one decimal place.< μ <
- Use the given confidence interval to find the point estimate for the population mean 67.3<μ<112.9Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided. Lower bound=0.189, upper bound=0.391, n=1000 The point estimate of the population proportion is (Round to the nearest thousandth as needed.) Part 2 The margin of error is (Round to the nearest thousandth as needed.) Part 3 The number of individuals in the sample with the specified characteristic is (Round to the nearest integer as needed.)I just need answers for part b) but if you can answer them all step by step will be appreciated. :)
- Look at the confidence intervals described in the four options below. Then, imagine that for each of these confidence intervals, someone was to do a matching hypothesis test with the test value shown. On which of the four options do you predict that the matching hypothesis test would REJECT H0? Group of answer choices A confidence interval of -1.2 < µ1 - µ2 < +4.2, and has a test value of µ1 - µ2 = 0 A confidence interval of -4.2 < µ1 - µ2 < -1.2, and has a test value of µ1 - µ2 = 0 A confidence interval of -4.2 < µ1 - µ2 < +1.2, and has a test value of µ1 - µ2 = 0 A confidence interval of -3.5 < µ1 - µ2 < +3.5, and has a test value of µ1 - µ2 = 07.) A sample of weights of 30 four-year-old boys had a standard deviaCon of 8.6 lbs. Can we claim that they have the same standard deviaCon as girls, which is 7.8 lbs? Test using ∝= 0.05 and a.) a hypothesis test b.) an appropriate confidence interval11
- The minimum sample size needed to estimate a 95% confidence interval on p with a 3% margin of error is The critical value for a confidence interval for a one sample proportion with 80% confidence and a sample size of 30 is The critical value for a confidence interval for a one sample mean with 95% confidence and a sample size of 39 isSuppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying within their school. They select a random sample of 280 students who are asked to complete a survey anonymously. Of these students, 91 report that they have experienced bullying. Use this information to find a 95% z-confidence interval for p, the true proportion of students at this school who have experienced bullying. Give the limits (bounds) of the confidence interval as a proportion, precise to three decimal places. lower limit = upper limit =Construct the indicated confidence interval for the population mean μ. (Round results to 3 decimal places.) 1. c = 0.80, x= 325, o 17, n = 89 = 2. c = 0.95, x = 188, o 12, n = 67 = 3. Tea consumption. A researcher wants to estimate the mean tea consumption of an organization. The tea consumption in pounds for 25 randomly selected tea drinkers in the organization were gathered. Their tea consumption is listed in Table 1. Assume that o = 1.0 pounds and the tea consumption follows a normal distribution. Construct a 95% confidence for the population mean. 1.9 3.4 1.9 2.3 1.2 Table 1. Tea consumption Tea Consumption (pounds) 4.5 2.8 2.8 3.2 0.9 2.3 3.4 1.7 2.6 1.9 3.6 2.9 3.3 2.4 2.9 3.2 2.9 2.8 3.1 2.0