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 : μA=μB vs Ha : μA≠μB using the fact that Group A has 8 cases with a mean of 125 and a standard deviation of 18 while Group B has 15 cases with a mean of 118 and a standard deviation of 14.           (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 = Enter your answer in accordance to item (a) of the question statement p-value = Enter your answer in accordance to item (a) of the question statement             (b) What is the conclusion of the test? Test at a 10% level.     Reject H0.   Do not reject H0.

Q: = The waiting times (in minutes) of a random sample of 22 people at a bank have a sample standard…

A: N = 22 Degree of freedom : df = N-1 = 22 - 1 = 21 Sample standard deviation  : S = 3.9  Confidence…

Q: rainfall average. Based on the study, in Parit Raja, the rainfall average is 4.93 cm with standard…

A:

Q: If the 97% confidence interval for the difference u 2 of the means is (-27.678, -20.522), what is…

A: Given: N1 = 51 N2 = 50 X1 bar = 53.2  X2 bar = 77.3  Level of significance = 0.03

Q: A sample of n=38n=38 data values randomly selected from a normally distributed population has…

A: Given  n=38, s=20.6, alpha=0.01 We want to find 99% CI for population variance

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: 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: 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: 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: 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: Two random samples are selected from two independent populations. A summary of the samples sizes and…

A:

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 certain counselor wants to compare mean IQ scores for two different social groups. A random sample…

A:

Q: A random sample of size 36 is taken from a population with mean 50 and standard deviation 5. Find P(…

A: From the given information,Mean = Standard deviation , Sample size , n = 36 We have to find , P (…

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: 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: In a right-tailed test with known population standard deviation, the sample size was 8. At α = 0.05,…

A: The test is right-tailed.The population standard deviation is known.Sample size is .Significance…

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: the population standard deviation is 15, how large a sample is necessary to have a standard error…

A: Given  Population standard deviations σ=15, standard error=se>8

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 certain counselor wants to compare mean IQ scores for two different social groups. A random sample…

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

A:

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: The height of women ages 20-29 is normally distributed, with a mean of 64.2 inches. Assume o = 2.6…

A: a) The required probability is 0.7556Explanation:from the given data : mean (mu)=64.2standard…

Q: The pH of rain, measured at a weather station in Michigan, was observed for 39 consecutive rain…

A:

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: Samples of 100 8-hour shifts were randomly selected from the police records for each of two…

A: The objective of this question is to find a 90% confidence interval for the difference in the mean…

Q: A certain counselor wishes to compare the mean IQ scores of two different social groups. A random…

A: Given that for group 1: mean (M1) = 85, standard deviation (s1) = 15 and n1 = 12group 2: mean (M2) =…