Question

A random sample of size n_{1} = 25, taken from a normal
population with a standard deviation σ_{1} = 5.2, has a
sample mean = 85. A second random sample of size n_{2} =
36, taken from a different normal population with a standard
deviation σ_{2} = 3.4, has a sample mean = 83. Test the
claim that both means are equal at a 5% significance level. Find
P-value.

Answer #1

since p value >0.05

we fail to reject null hypothesis | ||

we do not have have sufficient evidence to conclude that means are different |

Given the information below that includes the sample size (n1
and n2) for each sample, the mean for each sample (x1 and x2) and
the estimated population standard deviations for each case( σ1 and
σ2), enter the p-value to test the following hypothesis at the 1%
significance level :
Ho : µ1 = µ2
Ha : µ1 > µ2
Sample 1
Sample 2
n1 = 10
n2 = 15
x1 = 115
x2 = 113
σ1 = 4.9
σ2 =...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 5
had a sample mean of
x1 = 8.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 6
had a sample mean of
x2 = 11.
Test the claim that the population means are different. Use
level of significance 0.01.(a) Check Requirements: What
distribution does the sample test statistic follow? Explain.
The...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 3
had a sample mean of
x1 = 13.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 4
had a sample mean of
x2 = 15.
Test the claim that the population means are different. Use
level of significance 0.01.
(a) Check Requirements: What distribution does the sample test
statistic follow? Explain....

a simple random sample of size 36 is taken from a normal
population with mean 20 and standard deivation of 15. What is the
probability the sample,neab,xbar based on these 36 observations
will be within 4 units of the population mean. round to the
hundreths placee

a simple random sample of size 36 is taken from a normal
population with mean 20 and standard deivation of 15. What is the
probability the sample,neab,xbar based on these 36 observations
will be within 4 units of the population mean. round to the
hundreths place

Xbar in the first sample: 0.6
Standard Deviation in the first sample: 1.2
Size of the first sample (n1): 13
Xbar in the second sample: 5.2
Standard Deviation in the second sample: 3.0
Size of the second sample (n2): 17
Use the conservative t-test to test the null hypothesis of
equality of means. Submit the p-value of your test of
significance.

A random sample of size 15 is taken from a normally distributed
population revealed a sample mean of 75 and a standard deviation of
5. The upper limit of a 95% confidence interval for the population
mean would equal?

A random sample of size 100 is selected from a population. The
sample mean is 6. The population standard deviation is 2. Use the
p-value method and the traditional method to test the claim that
the population means is not equal to 5.

A random sample of size n = 52 is taken from a finite population
of size N = 515 with mean μ = 253 and variance σ2 = 398. [You may
find it useful to reference the z table.] a-1. Is it necessary to
apply the finite population correction factor? Yes No a-2.
Calculate the expected value and the standard error of the sample
mean.(Round “expected value” to a whole number and "standard error"
to 4 decimal places.)

a A random sample of eight observations was taken from a normal
population. The sample mean and standard deviation are x = 75 and s
= 50. Can we infer at the 10% significance level that the
population mean is less than 100?
b Repeat part (a) assuming that you know that the population
standard deviation is σ = 50.
c Review parts (a) and (b). Explain why the test statistics
differed.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 13 minutes ago

asked 17 minutes ago

asked 21 minutes ago

asked 24 minutes ago

asked 26 minutes ago

asked 29 minutes ago

asked 30 minutes ago

asked 36 minutes ago

asked 39 minutes ago

asked 42 minutes ago

asked 45 minutes ago