Question

A random sample of 11 observations was taken from a normal population. The sample mean and standard deviation are xbar= 74.5 and s= 9. Can we infer at the 5% significance level that the population mean is greater than 70?

I already found the test statistic (1.66) but I’m at a loss for how to find the p-value.

Answer #1

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.

The sample mean and standard deviation from a random sample of
29 observations from a normal population were computed as x¯=36 and
s = 10. Calculate the t statistic of the test required to determine
whether there is enough evidence to infer at the 7% significance
level that the population mean is greater than 31.
Test Statistic =

The sample mean and standard deviation from a random sample of
33 observations from a normal population were computed as x¯=34 and
s = 8. Calculate the t statistic of the test required to determine
whether there is enough evidence to infer at the 10% significance
level that the population mean is greater than 30.

1) The sample mean and standard deviation from a random sample
of 22 observations from a normal population were computed as x¯=40
and s = 13. Calculate the t statistic of the test required to
determine whether there is enough evidence to infer at the 7%
significance level that the population mean is greater than 37.
Test Statistic=
2) The contents of 33 cans of Coke have a mean of x¯=12.15 and a
standard deviation of s=0.13. Find the value...

A random sample of 100 observations from a normal population
whose standard deviation is 50 produced a mean of 75. Does this
statistic provide sufficient evidence at the 5% level of
significance to infer that the population mean is not 80?

A sample of 64 observations is taken from a normal population
known to have a standard deviation of 13.7. The sample mean is
47.9. Calculate the test statistic to evaluate the hypothesis µ=46.
Enter your answer to 2 decimal places.
A sample of 20 observations is taken from a normal population
known to have a standard deviation of 17.3. The sample mean is
47.2. Calculate the test statistic to evaluate the hypothesis µ≤48.
Enter your answer to 2 decimal places....

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

A sample of 31 observations is selected from a normal
population. The sample mean is 11, and the population standard
deviation is 3. Conduct the following test of hypothesis using the
0.05 significance level.
H0: μ ≤ 10
H1: μ > 10
e-1. 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 random sample of 100 observations was drawn from a normal
population. The sample variance was calculated to be s^2 = 220.
Test with α = .05 to determine whether we can infer that the
population variance differs from 300. Use p-value (from chi-square
table) and critical value

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