Question
In: Statistics and Probability
Many people believe that the average number of Facebook friends is 135. The population standard deviation...
Many people believe that the average number of Facebook friends is 135. The population standard deviation is 37.7. A random sample of 38 high school students in a particular county revealed that the average number of Facebook friends was 151. At α=0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 135?
(a)State the hypotheses and identify the claim.
(b)Find the critical value.
(c)Compute the test value.
(d)Make the decision.
(e)Summarize the results.
Solutions
All ans in image
orchestra answered 1 year agoRelated Solutions
The Pew study did not report a standard deviation, but given the number of Facebook friends...
The Pew study did not report a standard deviation, but given the
number of Facebook friends is highly variable, let's suppose that
the standard deviation is 199. Let's also suppose that 338 and 199
are population values (they aren't, but we don't know the true
population values so this is the best we can do). (Use 3 decimal
place precision for parts a., b., and c.)
a. If we randomly sample 108 Facebook users, what is the
probability that the...
Suppose that the average number of Facebook friends users have is normally distributed with a mean...
Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 144 and a standard deviation
of about 52. Assume fourteen individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal
places where possible.
For the group of 14, find the probability that the average
number of friends is less than 145.
Find the first quartile for the average number of Facebook
friends.
For part b), is the assumption that...
Suppose that the average number of Facebook friends users have is normally distributed with a mean...
Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 119 and a standard deviation
of about 41. Assume forty-five individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal
places where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 45, find the probability that the average
number of friends is more than 114.
Find the third quartile for the average number of...
Suppose that the average number of Facebook friends users have is normally distributed with a mean...
Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 117 and a standard deviation
of about 58. Assume forty-two individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal
places where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 42, find the probability that the average
number of friends is less than 104.
Find the first quartile for the average number of...
Suppose that the average number of Facebook friends users have is normally distributed with a mean...
Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 131 and a standard deviation
of about 49. Assume seven individuals are randomly chosen. Answer
the following questions. Round all answers to 4 decimal places
where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 7, find the probability that the average
number of friends is less than 150.
Find the first quartile for the average number of...
Suppose that the average number of Facebook friends users have is normally distributed with a mean...
Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 121 and a standard deviation
of about 40. Assume forty-five individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal
places where possible.
What is the distribution of x? x ~ N(___,____)
For the group of 45, find the probability that the average
number of friends is less than 115. _____
Find the first quartile for the average number...
Suppose that the average number of Facebook friends users have is normally distributed with a mean...
Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 117 and a standard deviation
of about 45. Assume forty-seven individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal
places where possible. What is the distribution of ¯ x x¯ ? ¯ x x¯
~ N(,) For the group of 47, find the probability that the average
number of friends is more than 121. Find the third quartile...
You no longer believe that the population standard deviation in the tuition amounts for this population...
You no longer believe that the population standard deviation in
the tuition amounts for this population is a known quantity. You
therefore will use the standard deviation in the tuition amounts of
a representative sample of universities as an estimate of the
unknown population standard deviation. You collect yearly tuition
data from a random sample of universities once again. This data is
shown in appendix one below. Once again, at each of the 5% and 10%
levels of significance, is...
The mean number of close friends for the population of people living in the U.S. is...
The mean number of close friends for the population of people
living in the U.S. is 5.7. The standard deviation of scores in this
population is 1.3. An investigator predicts that the mean number of
close friends for introverts will be significantly different from
the mean of the population. The mean number of close friends for a
sample of 26 introverts is 6.5. Do these data support the
investigator's prediction? Use an alpha level of .05.
a. Please state both...
The mean number of close friends for the population of people living in the U.S. is...
The mean number of close friends for the population of people
living in the U.S. is 5.7. An investigator predicts that the mean
number of close friends for introverts will be significantly
different than the mean of the population. The mean number of close
friends for a sample of 26 introverts is 6.5. The standard
deviation of scores in this sample is 1.3. Do these data support
the investigator's prediction?
a. State the null and alternative hypotheses in symbolic
form....
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