Question

A large software company gives job applicants a test of programming ability and the mean for that test has been 182 in the past. Twenty five job applicants are randomly selected, and they produce a sample mean score of 186 and a sample standard deviation of 12. Use a 5% level of significance to test the claim that this sample comes from a population with a mean score greater than 182. Assume the distribution is normally distributed.(Round to two decimal places)

(a) Critical Values:

(b) Construct a 95% confidence interval for the mean score.
(Round to 2 decimal places)

Answer #1

a) hare population standard deviation is unknown so we use t distribution for finding critical values. .given significance level 0.05 and right tailed hypothesis (because we want to test whether mean is greater than 182 or not) and degrees of freedom 25 - 1=24 , we get critical value

t=

b)

CI [181.05, 190.95]

values above 182 lies in this confidence interval. Hence mean can be greater than 182. cliam is correct

please like ??

A large software company gives job applicants a test of
programming ability and the mean for the test has been 160 in the
past. Twenty-five job applicants are selected from one large
university and they produce a mean score and standard deviation of
183 and 12, respectively. Use a 0.05 level of significance to test
the claim that this sample comes from a population with a mean
score greater than 160.

A large software company gives job applicants a test of
programming ability and the mean for that test has been 160 in the
past. Assume that the test scores are normally distributed.
Twenty-five job applicants are randomly selected from one large
university and they produce a mean score and standard deviation of
168 and 12, respectively. Use a 0.05 level of significance to test
the claim that this sample comes from a population with a mean
score greater than 160....

A large software company gives job applicants a test of
programming ability and the mean for that test has been 160 in the
past. Twenty-five job applicants are randomly selected from a large
university and they produce a mean score of 183 and a standard
deviation of 12. Use a 5% significance level and the
critical-value method to test whether the mean
score for students from this university is greater than 160. Assume
the population is normally distributed. Correctly state...

A large Software company gives job applicants a test of
programing ability and the mean for that testhas been 180 in the
past with a population std. dev. of 20. A random sample from 35
applicantsshows a mean of 183. Use a 0.5 level of significance to
test the claim that this sample comes from apopulation with a mean
greater than 180.

Suppose the scores on a reading ability test are normally
distributed with a mean of 65 and a standard deviation of 8.
A) If one student is chosen at random, what is the probability
that the student's score is greater than 81 points"?
B) If 500 students took the reading ability test HOW MANY
students would expect to earn a score greater than 81 points?
c) Find the probability of randomly selecting 35 students (all
from the same class) that...

A factory hiring people to work on an assembly line gives job
applicants a test of manual agility. This test counts how many
strangely shaped pegs the applicant can fit into matching holes in
a one-minute period. The table below summarizes data collected for
90 applicants - 45 men and 45 women:
Male
Female
n
45
45
Mean
20.05
17.34
Std Dev
2.708
3.65
Find separate 90% confidence intervals for the average number of
pegs males and females can correctly...

A large manufacturing firm tests job applicants. Test scores are
normally distributed with a mean of 500 and a standard deviation of
50.
-what proportion of people get scores between 400 and 600?
-What proportion of people get higher than 450?

A large manufacturing firm tests job applicants who recently
graduated from colleges. The test scores are normally distributed
with a mean of 500 and a standard deviation of 50. If an applicant
is selected at random, what is the probability that he/she has a
score between 438 and 604?

Suppose that the scores on a reading ability test are normally
distributed with a mean of 60 and a standard deviation of 8. What
proportion of individuals score at least 49 points on this test?
Round your answer to at least four decimal places.

16 students were randomly selected from a large group of
students taking a certain calculus test. The mean score for the
students in the sample was 86 and the standard deviation was 1.3.
Assume that the scores are normally distributed. Construct a 98%
confidence interval for the mean score, μ, of all students taking
the test. Round your answer to two decimal places.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 20 minutes ago

asked 32 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 4 hours ago