μ0=400     Sample mean= 359.43    Sample standard deviation= 43.16     α=0.05 Sample size=7 Test the hypothesis   H0 :μ=400  against  H1:μ<400

Assuming that a sample is used to estimate a population mean μμ. Find the margin of error M.E. that corresponds to a sample size 7 with a mean of 39.8 and a standard deviation of 21.9 at a confidence level of 90%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.M.E. =

A random sample of  n1 = 49  measurements from a population with population standard deviation  ?1 = 3  had a sample mean of  x1 = 10.  An independent random sample of  n2 = 64  measurements from a second population with population standard deviation  ?2 = 4  had a sample mean of  x2 = 12.  Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain. The Student's t. We assume that both population distributions are approximately normal with known standard deviations.The standard normal. We assume that both population distributions are approximately normal with known standard deviations.    The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses. H0: ?1 = ?2;…

A population has a mean μ=76 and a standard deviation σ=20. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=232.       Question content area bottom Part 1 μx=enter your response here   ​(Simplify your​ answer.) Part 2 σx=enter your response here   ​(Type an integer or decimal rounded to three decimal places as​ needed.)

We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 29 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 28.4 words per minute and a standard deviation of 2.5 words per minute. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 18, and it is from a normally distributed population with an unknown standard deviation. O z = O It is unclear which test statistic to use.

These are the numbers I am working with: Sample mean= 78 Population mean= 75 Standard deviation:=10 Significance level: .05 Critical value: Z score > 1.96 Z score= 1.34 How do I figure  the confidence limits for the 95% confidence interval. Z-score= 1.34 P-value= .1802

1. Testing:H0:μ=9.1Ha:μ<9.1Your sample consists of 23 subjects, with a mean of 8.9 and standard deviation of 3.77.Calculate the test statistic, rounded to 2 decimal places. t = 2. CNNBC recently reported that the mean annual cost of auto insurance is 994 dollars. Assume the standard deviation is 137 dollars. You will use a simple random sample of 117 auto insurance policies.Find the probability that a single randomly selected policy has a mean value between 985.1 and 1013 dollars.P(985.1 < X < 1013) = Find the probability that a random sample of size n=117 has a mean value between 985.1 and 1013 dollars.P(985.1 < x < 1013) = Enter your answers as numbers accurate to 4 decimal places. 3. A leading magazine reported at one time that the average number of weeks an individual is unemployed is 18.7 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.7 weeks and that the population standard deviation is 9.1…

A manufacturer makes ball bearings that are supposed to have a mean weight of 30 g. A retailer suspects that the mean weight is actually less than 30 g. The mean weight for a random sample of 16 ball bearings is 28.6 g with a standard deviation of 4.4 g. Assume the population standard deviation is not known. How many populations? O2 01 What is the parameter? O Proportion О Мean O Variance O tandard Deviation O Difference between Means