A random sample of size 100 is taken from a normal distribution population with sigmma=4.3. give that the sample mean is x bar =19.8 construct a 95%confidence interval for the position mean mu.( Round to two decimals)
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- A random sample of 76 eighth-grade students' scores on a national mathematics assessment test has a mean score of 273. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 33. At α=0.02, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). Part 1 (a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. A.) H0: μ≥270 (claim) Ha: μ<270 B.) H0: μ≤270 (claim) Ha: μ>270 C.) H0: μ=270 (claim) Ha: μ>270 D.) H0:μ≤270 Ha: μ>270 (claim) E.) H0: μ<270 Ha: μ≥270 (claim) F.) H0: μ=270 Ha: μ>270 (claim) (b) Find the standardized z, and its coresponding area z=_____ (c) Find the P-value P-value =_____ (d) Decide whether to reject or fail the null…The ............. is/are used to construct confidence intervals around OLS parameters. A. population regression function B. confidence limits C. standardized normal distribution D. standard errors of β1 and β2 E. β^1−β1/se(β^1) and β^2−β2/se(β^2)A sample is selected from a population withu = 50. After a treatment is administered to the 16 individuals in the sample, the mean is found to be M = 55 and the standard deviation is s = 8, What is the test statistic for the sample mean?
- In a trivariate distribution, it 112= 0.7, 113 = 0.61 and 223 = 0.4 find all the multiple correlation coefficients. Also obtain the standard of estimates 01.23 61:23, 02:13 and 53:12 given that: 52= 1:06, 62 = 2.15 and 3= 3.46.At the alpha = 0.01 level , what is the correct conclusion for this test? The daily temperatures in fall and winter months in Virginia have a mean of 62F. A meteorologist in southwest Virginia believes the mean temperature is colder in this area. The meteorologist takes a random sample of 30 daily temperatures from the fall and winter months over the last five years in southwest Virginia. The mean temperature for the sample is 59 degrees * F with a standard deviation of 6.21 degrees * F The meteorologist conducts a one -sample t-test for and calculates a P value of 0.007. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist should reject the null hypothesis since 0.007 < 0.01 . There is not convincing evidence that the mean temperature in fall and winter months in southwest Virginia is less than 62 F. The meteorologist…A sample of 50 earthquakes was found to have a sample mean of x ¯ = 1.184 and a sample standard deviation of s = 0.5864. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Find the test statistic and critical value used for this test. Round to three decimal places.
- Suppose a certain species bird has an average weight of = 3.85 grams. Based on previous studies, we can assume that the weights of these birds have a normal distribution with σ = 0.31 grams. Find the sample size necessary for a 98% confidence level with a maximal error of estimate E = 0.09 for the mean weights of the hummingbirds.Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At=α0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. State the hypotheses and identify the claim with the correct hypothesis. :H0 =μ24 ▼not claim :H1 <μ24 ▼claim the hypothesis test is a ▼one-tailed test. Part 2 of 5 Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):Please help me this calculations. Don't use excel please use hand. Thank you.
- The average local cell phone call length was reported to be 2.27 minutes. A random sample of 10phone calls showed an average of 2.98 minutes in length with a standard deviation of 0.98 minute. At alpha= 0.01can it be concluded that the average differs from the population average?A sample of size 31 was gathered from high school seniors to estimate how many intended to attend the state university. It is known that the proportion of the population answering "yes" was 0.7. What are the mean and standard deviation, and standard error of the mean of this sample? mean = E(p) = %3D standard error = SD(p) (accurate to 3 decimal places)Suppose the mean IQ score of people in a certain country is 103. Suppose the director of a college obtains a simple random sample of 37 students from that country and finds the mean IQ is 107.4 with a standard deviation of 13.8. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: H= 103 versus H: u> 103. Explain what the director is testing. Perform the test at the a = 0.01 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 103. B. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 103. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually equal to 103. O D. The director is testing if the sample provided sufficient evidence that…
