Question

A restaurant claims the customers receive their food in less than 16 minutes. A random sample of 39 customers finds a mean wait time for food to be 15.8 minutes with a standard deviation of 4.9 minutes. At α = 0.04, what type of test is this and can you support the organizations’ claim using the test statistic?

Claim is the alternative, reject the null so support the claim as test statistic (-0.25) is in the rejection region defined by the critical value (-2.05) |

Claim is the null, fail to reject the null so support the claim as test statistic (-0.25) is not in the rejection region defined by the critical value (-1.75) |

Claim is the null, reject the null so cannot support the claim as test statistic (-0.25) is in the rejection region defined by the critical value (-2.05) |

Claim is the alternative, fail to reject the null so cannot support the claim as test statistic (-0.25) is not in the rejection region defined by the critical value (-1.75) |

Answer #1

Hypotheses are:

Since population standard deviation is unknown and hypothesis test population mean so t test should be used. Here sample size is large so we can assume that sampling distribution of sample mean is normal.

Here we have following information:

So test statitics will be

Here test is left tailed and degree of freedom of the test is df=n-1=39-1=38.

So for a = 0.04, critical value of the test is
-**1.799**.

Rejection region: if test statistics value is less than
-**1.799** we reject the null hypothesis.

Since test statistics does not lie in critical region so we fail to reject the null hypothesis.

Correct option:

Claim is the alternative, fail to reject the null so cannot support the claim as test statistic (-0.25) is not in the rejection region defined by the critical value (-1.75)

A computer manufacturer estimates that its cheapest screens will
last less than 2.8 years. A random sample of 61 of these screens
has a mean life of 2.6 years. The population is normally
distributed with a population standard deviation of 0.88 years. At
α=0.02, what type of test is this and can you support the
organization’s claim using the test statistic?
Claim is alternative, reject the null and support claim as test
statistic (-1.78) is not in the rejection region...

A computer manufacturer estimates that its cheapest screens will
last less than 2.8 years. A random sample of 61 of these screens
has a mean life of 2.7 years. The population is normally
distributed with a population standard deviation of 0.88 years. At
α=0.02, what type of test is this and can you support the
organization’s claim using the test statistic?
Claim is alternative, reject the null and support claim as test
statistic (-0.89) is not in the rejection region...

A customer service phone line claims that the wait times before
a call is answered by a service representative is less than 3.3
minutes. In a random sample of 62 calls, the average wait time
before a representative answers is 3.26 minutes. The population
standard deviation is assumed to be 0.14 minutes. Can the claim be
supported at α=0.08?
Homework Help:
6VE. Second sample hypothesis testing from word problem to
implications for claim, with test statistic (Links to an external...

A consumer research organization states that the mean caffeine
content per 12-ounce bottle of a population of caffeinated soft
drinks is 37.8 milligrams. You find a random sample of 48 12-ounce
bottles of caffeinated soft drinks that has a mean caffeine content
of 41.5 milligrams. Assume the population standard deviation is
12.5 milligrams. At α=0.05, what type of test is this and can you
reject the organization’s claim using the test statistic?
Claim is null, fail to reject the null...

1.
(CO 7) A travel analyst claims that the mean room rates at a
three-star hotel in Chicago is greater than $152. In a random
sample of 36 three-star hotel rooms in Chicago, the mean room rate
is $163 with a standard deviation of $41. At α=0.10, what type of
test is this and can you support the analyst’s claim using the
p-value?
Claim is the alternative, fail to reject the null as p-value
(0.054) is less than alpha (0.10),...

(CO 5) A light bulb manufacturer guarantees that the mean life
of a certain type of light bulb is at least 720 hours. A random
sample of 51 light bulbs as a mean of 712.8 hours with a population
standard deviation of 62 hours. At an α=0.05, can you support the
company’s claim using the test statistic?
Claim is the null, reject the null and cannot support claim as
test statistic (-0.83) is in the rejection region defined by the...

A light bulb manufacturer guarantees that the mean life of a
certain type of light bulb is at least 720 hours. A random sample
of 51 light bulbs as a mean of 712.8 hours with a population
standard deviation of 62 hours. At an α=0.05, can you support the
company’s claim using the test statistic? @See text pages
368-370
A. Claim is the null, fail to reject the null and support claim
as test statistic (-0.83) is not in the...

(CO7) A state Department of Transportation claims that the mean
wait time for various services at its different location is less
than 6 minutes. A random sample of 16 services at different
locations has a mean wait time of 9.5 minutes and a standard
deviation of 7.3 minutes. At α=0.05, can the department’s claim be
supported assuming the population is normally distributed?
No, since p of 0.037 is less than 0.05, reject the null. Claim
is null, so is not...

A business receives supplies of copper tubing where the supplier
has said that the average length is 26.70 inches so that they will
fit into the business’ machines. A random sample of 48 copper tubes
finds they have an average length of 26.75 inches. The population
standard deviation is assumed to be 0.15 inches. At α=0.05, should
the business reject the supplier’s claim?
Yes, since p<α, we reject the null and the null is the
claim
No, since p>α, we...

I appreciate you taking the time to answer my question today,
please answer as many as you can, thank you.
Question 26 2 pts
(CO7) A travel analyst claims that the mean room rates at a
three-star hotel in Chicago is greater than $152. In a random
sample of 36 three-star hotel rooms in Chicago, the mean room rate
is $160 with a standard deviation of $41. At α=0.10, what type of
test is this and can you support the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 18 minutes ago

asked 20 minutes ago

asked 20 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 28 minutes ago

asked 45 minutes ago

asked 47 minutes ago

asked 47 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago