Suppose we are testing the null hypothesis HO: u = 16 against the alternative Ha: u < 16 from a normal population with known standard deviation g=4. A sample of size 289 is taken. We use the usual z statistic as our test statistic. Using the sample, a zvalue of -2.00 is calculated. (Remember z has a standard normal distribution.)) What is the p value for this test?What was the value of x calculated from our sample?|

Given data is The null and alternative hypothesis isH0:μ=16Ha:μ<16standard deviation(σ)=4sample…

Answered: Suppose we are testing the null…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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When interpreting a standard deviation how do I know whether its an empirical rule or Chebychev? The number of standard deviations? and how would I compute that?
“Domestic cats kill many more wild birds in the United States than scientists thought”, states a recent article. Researchers used a random sample of ? = 300 households in the US with cats to estimate that 25% of household cats in the US hunt outdoors Using the normal distribution to find a 90% confidence interval for the population proportion ?. (Take z* = 1.645) a. Can we assume that the sample size is large enough to use the standard normal distribution? Why or why not? b. What is the best point estimate for ?? c. What is the margin of error without using StatKey? d. Find and interpret a 90% confidence interval for the proportion of household cats in the US that hunt outdoors.
The National Center for Health Statistics reports that the mean systolic blood pressure for males 35 to 44 years of age is 128 with a standard deviation of 15. In a sample of 72 CSLA male faculty members in this age group a nursing faculty member found an average systolic blood pressure of 126. (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?
If n=310 and ˆpp^ (p-hat) =0.34, find the margin of error at a 95% confidence levelGive your answer to three decimals In a recent poll, 240 people were asked if they liked dogs, and 25% said they did. Find the margin of error of this poll, at the 90% confidence level.Give your answer to three decimals A population of values has a normal distribution with μ=220.7 and σ=8.6. You intend to draw a random sample of size n=207What is the mean of the distribution of sample means?μ¯x=What is the standard deviation of the distribution of sample means?σ¯x= Round to 4 decimal places.
2. Random variable G is known to be exponential (^) and is known to have >2. 500 samples of the random variable are averaged together producing an average (sample mean) of 0.2. a. Taking the worst-case variance, what is the confidence coefficient (probability) that µg lies between 0.15 and 0.25? b. Using the estimate of the mean to estimate the variance, what is the confidence coefficient (probability) that µG lies between 0.15 and 0.25? C. Using the worst-case variance, but assuming that the sample mean is Gaussian, what is the confidence coefficient (probability) that µG lies between 0.15 and 0.25?
Systolic blood pressure in healthy adults has a normal distribution with mean of 112 mmHg and standard deviation of 10 mmHg. Outside what range of values would we flag patients as needing follow-up, assuming we want to flag patients whose systolic blood pressure was outside of 2 standard deviations? Examined as a diagnostic test, how would sensitivity and specificity of this test change if we start flagging blood pressure values outside of 1 standard deviation instead of 2?
Formulate the null and alternate hypotheses that will allow you to test for statistical significance regarding the mean decrease in the systolic pressure reading caused by the drug mean=4.035 stdev=13.236 median=1.304 n=1000 sucess=517
A simple random sample of 179 pairs of individuals from resulted in a sample mean difference of -1.93. The sample standard deviation for the paired difference is equal to 12.29. Using a 95% level of confidence, what is the standard error for a large sample confidence interval for the mean paired difference?
I need to find the test statistic F= and also the P-value both rounded to 4 decimal places

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