A sample of 20 people has a mean of 53.4 and a standard deviation of 31.97. Calculate the t-statistic for the hypothesis: μ =35.1.
Round your answer to four decimal places.
.
solution:
sample size = n = 20
sample mean =
= 53.4
sample standard deviation = S = 31.97
Hypothesized mean =
= 35.1
since population standard deviation is not known and sample size is small
so we willuse t test statistics:

so value of t test statistics = 2.5599
A sample of 20 people has a mean of 53.4 and a standard deviation of 31.97....
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. b. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...
A sample of 35 observations is selected from a normal population. The sample mean is 20, and the population standard deviation is 2. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 19 H1: μ > 19 What is the value of the test statistic? (Round your answer to 2 decimal places.) What is the p-value? (Round your answer to 4 decimal places.) e-2. Interpret the p-value? (Round your final answer to 2 decimal places.)
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=37, n = 31, σ=9, H0 : μ=39, Ha: μ<39 EB Click here to view a partial table of areas under the standard normal curve. The test statistic is z- (Round to two decimal places as needed.)
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 8; σ = 2 P(7 ≤ x ≤ 11) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 6.0; σ = 1.4 P(7 ≤ x ≤ 9) = Assume that x has a normal...
1. X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 41, σ = 20, find P(35 ≤ X ≤ 42) 2. Find the probability that a normal variable takes on values within 0.9 standard deviations of its mean. (Round your decimal to four decimal places.) 3. Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10....
A population has a mean μ-85 and a standard deviation σ-21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n 49 H(Simplity your answer) o-# L] (Simplify your answer.) to the random variable x is normally distributed with mean-83 and standard deviation ơ-4 Find the indicated probability P(70sx 76) P(70 < x < 76)= Round to four decimal places as needed.) Enter your answer in the answer box
A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 5% significance level. x:30, s-8, n:32. HOP:30, Ha:p>30 EE Click here to view a partial table of values of ta The test statistic is t Round to two decimal places as needed) The P-value is the null hypothesis. The data sufficient evidence to conclude that the mean is
section 9.5
A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 5% significance level x = 23, s = 6, n = 32, Ho H = 27, H.: H = 27 Click here to view a partial table of values of The test statistic ist=Q (Round to two decimal places as needed.) A sample mean, sample size, and sample standard deviation are provided below. Use...
Consider a normal distribution with mean 25 and standard
deviation 5. What is the probability a value selected at random
from this distribution is greater than 25? (Round your answer to
two decimal places.)
Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.)
μ = 14.9; σ = 3.5
P(10 ≤ x ≤ 26) =
Need Help? Read It
Assume that x has a...
Use the one-mean t-interval procedure with the sample mean, sample size, sample standard deviation, and confidence level given below to find a confidence interval for the mean of the population from which the sample was drawn. x̄=4.0 n=61 s=6.1 confidence level =99% The 99% confidence interval about μ is ??? to ??? (Round to four decimal places as needed.)