Question

T/F Question and explain

1.A 95% confidence interval for population mean μ is 65.6±12.8 from a sample of size n=96. If one took a second random sample of the same size, then the probability that the 95% confidence interval for μ based on the second sample contains 65.6 is 0.95.

2.The probability of a Type I error when α=0.05 and the null hypothesis is true is 0.05.

3.Because an assumption of ANOVA is that all of the population variances are equal, inferences will be unreliable unless the sample standard deviations are all equal up to two significant digits.

Answer #1

Construct the confidence interval for the population mean μ.
c=0.95, x= 9.5,σ=0.8,and n=44
A 95% confidence interval form μ is(_,_) (Round to two decimal
places as needed.)

Use the given data to find the 95% confidence interval estimate
of the population mean μ. Assume that the population has a normal
distribution. IQ scores of professional athletes: Sample size n=10
Mean x¯=106 Standard deviation s=12
______<μ<________

Use the given data to find the 95% confidence interval estimate
of the population mean μ. Assume that the population has a normal
distribution. IQ scores of professional athletes: Sample size n=30
Mean x¯¯¯=103 Standard deviation s=12

A 95% confidence interval for a population mean is given as 32.2
< μ < 42.0. Round your answers to 1 decimal place.
(a) Calculate the sample mean. x =
(b) Calculate the margin of error. E =

Construct the confidence interval for the population mean μ.
c=0.95
x overbar=15.9
σ=9.0
and n=55
A 95% confidence interval for is μ is (__,__)

Construct the indicated confidence interval for the population
mean μ using the t-distribution. Assume the population is normally
distributed.
c=0.95, x=14.8, s=0.89, n=13

Assuming that the population is normally distributed, construct
a 95% confidence interval for the population mean for each of the
samples below.
Sample
A:
11
33
44
44
55
55
66
88
Full data set
Sample
B:
11
22
33
44
55
66
77
88
Construct a 95% confidence interval for the population mean for
sample A.
____ ≤ μ ≤ _____

We would like to construct a confidence interval for the mean μ
of some population. Which of the following combinations of
confidence level and sample size will produce the narrowest
interval?
A)
99% confidence, n = 35
B)
95% confidence, n = 30
C)
95% confidence, n = 35
D)
90% confidence, n = 30
E)
90% confidence, n = 35

Find the margin of error for a 95% confidence interval for
estimating the population mean when the sample standard deviation
equals 90 with a sample size of (i) 484 and (ii) 1600
(i) Find the margin of error for a 95% confidence interval for
estimating the population mean when the sample standard deviation
equals 90 with a sample size of 484
(ii).
(ii) Find the margin of error for a 95% confidence interval
for estimating the population mean when the...

Find the value tα/2 for constructing a 95% confidence interval
for μ if we draw a sample of size 15 from a normal population with
σ unknown.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 17 minutes ago

asked 34 minutes ago

asked 36 minutes ago

asked 41 minutes ago

asked 46 minutes ago

asked 58 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago