For the following situations, tell what testing distribution you should use. (normal distribution, t-distribution, chi-square or ANOVA).
a. A simple random sample of adults is obtained and the sample mean red blood cell count is measured. Assuming we know the population standard deviation, test the claim that the sample is from a population with a mean less than 5.4 cells/mL.
b. A study of the flammability of children’s sleepwear across five different laboratories was done. Test the claim that the means for the different laboratories are all the same.
c. A study was conducted to estimate hospital costs for accident victims who wore seat belts. The randomly selected cases have a distribution that appears normal. We do not know the population standard deviation. Test the claim that the population of all victims who wore seat belts has a mean equal to $9004.
d. A study of high school students at least 16 years of age asked the students whether they drove when drinking alcohol and texted while driving. Test the claim of independence between texting while driving and driving when drinking alcohol.
a)
normal distribution (since sample mean is compared to population mean and population standard deviaiton is known)
b)
ANOVA (since there are more than 2 groups are being comapred)
c)
t-distribution (since sample mean is compared to population mean and population standard deviaiton is unknown)
d)chi-square (snce association between categorical variables are checked)
For the following situations, tell what testing distribution you should use. (normal distribution, t-distribution, chi-square or...
I know that the sum of square of normal random variables follow a chi-square distribution. But when I learn how to do a goodness-fit test I don't know why the ratio of (O-E)^2/E follows a chi-square. I tried to square root of it first so that I might get something looks like a normal, but my new question arises : why (O-E)/sqrt(E) follows a normal-distribution? I know from sampling distribution that if the sample is from the same distribution as...
Determine if you are to use a normal distribution, a t-distribution, or a population proportion. Then, find the 95% confidence interval. a) In 34 randomly selected closing stock prices, the mean closing price was $19.96 and the population standard deviation was $2.62. Interval: b) In a random sample of 18 high school students, the mean hours spent on homework was 11.6 hours and the sample standard deviation was 3.04 hours. Interval: c) In a survey of 674 US males ages...
Please read the following prompt carefully: "A study found that 34% of college students text while driving. A recent survey found that 353 of 900 randomly selected college students had texted while driving. Based on these findings, does the sample evidence suggest that the proportion of college students who text while driving is greater than 34%? Use the a=0.005 level of significance." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the...
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t est to gather oation. The outut of this What is the p-value of this test? What is the conclusion? (3 credins) Assume that the distribution of the pH Sevel is normal with ox1.20. Test 7 uing a twotaled test (significance level 001). (4 creds) n.:μ " 7 verm / μ c) Assume that the distribution of the pH level is normal with σ120. Test p7 versus H:p <7 using a one-tailed test (significance level 0.01). (3 credits) As in...
For problems 7-9 below you have to apply p value method. Use on Statkey Normal or distribution to find the p value 7. Test the claim that the population of sophomore college students has a mean grade point average greater than 2.25. Sample statistics include na 160 students, sample mean is 2.35, and population standard deviation is equal 0.60 Use a= 0.02 level of significance. a) What is the null hypothesis? b) What is an alternate hypothesis? c) Is this...
Suppose that you wish to test a claim about a population mean. Which distribution should be used given that the sample is a simple random sample, σ is not known, n = 15 and the population is normally distributed? The z-distribution The t-distribution The Chi-Square Distribution The F-distribution A hypothesis in statistics is a claim or a statement about a sample statistic population parameter legitimate inheritance weather conditions A market researcher selects every 40th student from a group of 500...
Assume a normal distribution and use a hypothesis test to test the given claim According to city reports, it was found that the mean age of the prison population in the city was 26 years. He obtains a random samplo of 25 prisoners and finds a mean age of 24.4 years and a standard 20. years. Marc wants to test the claim that the mean age of the prison population in his city is less than 26 deviation of 9.2...
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