Question

Randomly selected statistics students participated in an experiment to test their ability to determine when 1 minute (or 60 seconds) has passed. Forty students yielded a sample mean of 58.3 sec with a standard deviation is 9.5 sec, construct a 95% confidence interval estimate of the population mean of all statistics students.

A. 50.4 sec < mu < 77.8

B. 54.5 sec < mu < 63.2

C. 56.3 sec < mu < 62.5

D. 55.4 sec < mu < 61.2

Based on the Confidence Interval for time perception above, is it likely that their estimates have a mean that is less than 60 sec?

Answer #1

95% confidence interval for is

- Z * S / sqrt(n) < < + Z * S / sqrt(n)

58.3 - 1.96 * 9.5 / sqrt(40) < < 58.3 + 1.96 * 9.5 / sqrt(40)

**55.4 < <
61.2**

Since 60 contained in the confidence interval, we do not have sufficient evidence to support the claim that

mean is less than 60 sec.

**No.**It is not likely that their estimates have a
mean that is less than 60 sec

Randomly selected statistics students of the author participated
in an experiment to test their ability to determine when 60 seconds
has passed. Forty students yielded a sample mean of
57.3 sec. Assume that the population standard deviation is σ =
8.5 sec.
a) Find the critical value zα /2 for a 82% confidence
interval
b) Construct a 82% confidence interval estimate of the
population mean of all statistics students. Use the z-table
method.
c) Use TI84/83 calculator method.
d) Write...

Randomly selected students participated in an experiment to test
their ability to determine when one minute (or sixty seconds) has
passed. Forty students yielded a sample mean of 59.7 seconds.
Assuming that sigma =10.1 seconds, construct and interpret a 90%
confidence interval estimate of the population mean of all
students.
What is the 90% confidence interval for the population mean
μ?

Randomly selected students participated in an experiment to test
their ability to determine when one minute (or sixty seconds) has
passed. Forty students yielded a sample mean of 62.4 seconds.
Assuming that σ=8.5 seconds, construct and interpret a 99%
confidence interval estimate of the population mean of all
students.
What is the 99% confidence interval for the population mean
μ?
____<μ<_____

Time perception. Randomly selected college students participated
in an experiment that tested their ability to determine the course
of 1 minute (or 60 seconds). Forty students produced a sample mean
of 58.3 seconds. Assuming that the standard deviation is 9.5
seconds, use a significance level of 0.05 to test the assertion
that the population mean is less than 60 seconds.

Actual times (in seconds) recorded when statistics students
participated in an experiment to test their ability to determine
when one minute (60 seconds) had passed are shown below. Find the
mean, median, and mode of the listed numbers.
55 50 74 61 67 60 47 47

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 16 minutes ago

asked 17 minutes ago

asked 30 minutes ago

asked 30 minutes ago

asked 34 minutes ago

asked 37 minutes ago

asked 37 minutes ago

asked 40 minutes ago

asked 46 minutes ago

asked 48 minutes ago

asked 52 minutes ago