Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test H0 : μT=μC vs Ha : μT<μC using the fact that the treatment group (T) has a sample mean of 8.6 with a standard deviation of 4.1 while the control group (C) has a sample mean of 11.2with a standard deviation of 3.4. Both groups have 25 cases.           (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = p-value =             (b) What is the conclusion of the test at a 5% significance level?     Reject H0.   Do not reject H0.

Q: Find the critical value tc for the confidence level c=0.98 and sample size n=12.

A: The confidence level is c = 0.98.

Q: Suppose that a random sample of 45 male firefightersare tested and that they have a plasma volume…

A: Given: Sample size of male firefighters is 45, that is, n = 45. Sample mean is 37.5, that is,…

Q: Find the critical value tc for the confidence level c=0.98 and sample size n=17.

A: Confidence Level = 98 Significance Level = α = (100-98)% = 0.02 Degrees of freedom = n-1 = 17 -1…

Q: Suppose X is a random variable with normal distribution and Var(X)=100. Suppose we have a sample of…

A: The confidence level is 0.90.

Q: Construct a 90% confidence interval for u, – U, with the sample statistics for mean cholesterol…

A:

Q: We have a normally distributed random variable Y and we wish to develop a 95% confidence interval…

A: From the given date we want to find the confidence interval for variance.

Q: Use the normal distribution and the given sample results to complete the test of the given…

A: The following information has been provided: Hypothesized Population Proportion (p0)(p_0) =…

Q: Pessimistic: n = 10, M = 2.9, SS = 40.9, s? = 4.54 Optimistic: n = 10, M = 6.8, SS = 25.6, s? = 2.84…

A: Given Data : For Sample 1 x̄1 = 2.9 s1 = √4.54 = 2.1307 n1 = 10 For…

Q: A sample of size 50 from a normal distribution has sample mean 5 and sample variance 20. Find 96%…

A: To find the confidence interval for the variance, we need to use the Chi-squared distribution. The…

Q: A simple random sample of 101 body temperatures have a mean of 98.20°F and a standard deviation of…

A:

Q: Determine the conclusion to the hypothesis test with a test statistic of -1.98 for two samples with…

A:

Q: Construct a 95% confidence interval for μ1 - μ2. Two samples are randomly selected from normal…

A:

Q: he lifetimes in hours of two brands of batteries follow normal distributions with means μX ,μY…

A: Given : The lifetimes in hours of two brands of batteries follow normal distributions with means μX…

Q: The sample mean and standard deviation from a random sample of 30 observations from a normal…

A: Computing the test statistic for hypothesis test: The test statistic for t test is given by:

Q: A researcher wants to determine if Americans are sleeping less than the recommended 7 hours of sleep…

A: 25) Solution: Given information: n= 150 Sample size x = 6.7  Sample mean μ=7 Population mean σ=…

Q: A medical researcher wishes to see whether the pulse rates of smokers are higher than the pulse…

A: There are two independent samples which are smokers and non smokers. We have to construct 99%…

Q: A baseball team claims that the mean length of its games is more than 2.2 hours. State Ho State the…

A: The answer is attached below,

Q: P-value = (Round to three decimal places as needed.)

A: Here n = sample size = 21 T test statistic = 2.309

Q: We have a normally distributed random variable Y and we wish to develop a 90% confidence interval…

A:

Q: A simple random sample of 10 people from a certain population has a mean age of 27 years. Can we…

A: Given that: Sample size, n=10 Sample mean, x¯=27 Population mean, μ=30 Population variance, σ2=20…

Q: The deflection temperature (°F) of two types of plastic pipe under a specified load is investigated…

A: We have given that,  The data set are : Type 1: 206, 188, 205, 187, 194, 193, 207, 185, 189, 213,…

Q: Do male and female servers work the same number of hours? A sample of 29 female servers worked an…

A:

Q: Please shoe how to solve this problem using the TI 84 in finding the critical value. Thank you in…

A: The hypothesis to be tested here is: H0: There is no significant difference between the lifetimes of…

Q: 5. An experiment was conducted to compare the vinegar content of salad dressing on two different…

A: Given: Sample size = n1 = n2  = 10 Sample variance s12=2.0 Sample variance s22=0.4 Confidence level…

Q: A piece of plywood is composed of five layers. The two outer layers are veneers with thickness 0.50…

A:

Q: What is tα/2,df for a 95% confidence interval of the population mean based on a sample of 15…

A: Solution: We have to find the t-critical value (tα/2) at the given significance level 1- 0.95=0.05…

Q: Find the critical value tc for the confidence level c=0.80 and sample size n=29. tc=

A: The sample size n is 29 and the confidence level is 0.80.

Q: ciation claims that the mean annual cost of food for dogs and cats are the same. The results for…

A: Sample sizes n1=15  , n2=9 Sample means x1=213  , x2=178 Standard deviation s1=38   ,s2=34

Q: Suppose a study similat to example 11 was performed using two second grade classes. Assume the…

A:

Q: Given two independent random samples with the following results: n1=7x‾1=179s1=22n1=7x‾1=179s1=22…

A: Given Data : For Sample 1 x̄1 = 179 n1= 7 s1= 22 For Sample 2…

Q: QUESTION 5 You want to run a 2-tailed independent t-test on sample 1 (M = 42.8, SD = 1.8) and sample…

A: Given, The test is 2 tailed independent samples t-test. Sample 1 has mean X1=42.8, standard…

Q: Suppose that we have disjoint normal populations A and B and we want to find the standard error…

A: Given Information: nA = 9  nB = 4  Confidence interval = 99%

Q: The t test for the mean difference between 2 related populations assumes that the  population…

A: The question is asking about the assumptions that are made when conducting a t-test for the mean…