99 coincidence interval Group of 19 Radom selected students Mean Age 22.4 Standard dievatuon 3.8
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- Q.1. Take a random data using generatdata.com, the link is https://www.generatedata.com/. In the “Data Type” type “Commodities”. This will generate random data, you only select the first forty observations, and all of you will have different data. Then prove that Harmonic mean is less than or equal to Geometric mean and Geometric mean is less than or equal to Arithmetic mean. (For ungrouped data)5. Household size in the United States has a population mean of μ = 2.6 people and populationstandard deviation of = 1.4 people . Using the central limit theorem, what is the probability that the mean size of a random sample of100 households is more than 3? That is to say in a sample of n=100, what is the probability that̄X > 3? Round to the nearest 3rd decimal place, x.xxx.A chi-square distribution with 7 degrees of freedom is a graphed below. The region under the curve to the right of x2-0.7 is shaded. The area of this region is 0.7.
- Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Standardized Test Composite Scores 28633Score mu equals 21.3 sigma equals 5.428 less than x less than 33 x A graph titled "Standardized Test Composite Scores" has a horizontal x-axis labeled "Score" from about 2 to 40 with tick marks at 6, 28, and 33. A normal curve labeled μ = 21.3 σ = 5.4 is centered above the x-axis at 21.3. Two vertical line segments extend from the curve to the x-axis at 28 and 33. The area below the curve and between the two vertical line segments is shaded and labeled 28 < x < 33. The probability that the member selected at random is from the shaded area of the graph is nothing . (Round to four decimal places as needed.)Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. The probability that the member selected at random is from the shaded area of the graph is _____. (Round to four decimal places as needed.)A 95% confidence interval implies that Group of answer choices with repeated sampling, 95% of the intervals constructed would contain the parameter of interest. there is a 95% probability of capturing the parameter of interest within our interval. 95% of the data lies with our interval. none of the above. In reality, the factor(s) to be considered when assessing if the Central Limit Theorem holds is/are Group of answer choices the shape of the distributions of the original variable. the sample size. both of the above. none of the above; we only need n≥30n≥30 . Select all that apply. The z-distribution Group of answer choices has a mean of zero. is a normal distribution. has a standard deviation of 1. has an infinite number of distributions.
- The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.94 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. If such a child is at the 87th percentile, how old is that child? ____ years old.The government of a particular country reports its literacy rate as 52%. A nongovernmental organization believes it to be less. The organization takes a random sample of 600 inhabitants and obtains a literacy rate of 42%. Perform the relevant test at the 0.5% (one-half of 1%) level of significance. a) Draw and state the rejection region in interval notation. b) State the test statistic and decsionThe rejection region in a hypothesis test Multiple Choice is an area in the tail(s) of a sampling distribution. is a consensus formed by trained statisticians. is always equal to the p-value in the test. is always set to correspond to α = .05 in the test.
- random sample of 16 subjects The ages were: Assuming that age is normally distributed in the population, can we conclude that the mean age of the population is less than 60 years? Let α = 0.05.Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X>36) Which of the following normal curves corresponds to P(X>36)? A. 36 50 A normal curve has a horizontal axis with two labeled coordinates, 36 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 36 and 50. The area under the curve between the vertical line segments is shaded. B. 36 50 A normal curve has a horizontal axis with two labeled coordinates, 36 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 36 and 50. The area…make frequency distribution table where there is the class interval and the frequency. use appropriate solution for class interval. use Sturges formula for number of classes and range over the no. of classes for the class size. this will lead to creating class interval.