Question

8. A simple random sample of 28 Lego sets is obtained and the number of pieces in each set was counted.The sample has a standard deviation of 12.65. Use a 0.05 significance level to test the claim that the number of pieces in a set has a standard deviation different from 11.53. (For full credit need to draw the curve and shade the area)

H0 :

H1 :

Test Stat:

Conclusion:

Answer #1

Sample Size (n) = 28

Standard Deviation \sigma_0 = 11.53

Sample standard deviation (S) = 12.65

We are interested in testing the hypothesis

Now, the value of test static can be found out by following
formula:

**Conclusion:** Since the test statistic value
32.5002 is between 14.573382730821713 and 43.19451096615604,

so, **we fail to reject the null hypothesis**.

A simple random sample of 200 drivers were asked if they drive
a car manufactured in a certain
country. Of the 200 drivers surveyed, 120 responded that they
did. Test the claim that more than 50% of
all drivers drive a car made in this country at the 0.05 level
of significance.
(For full credit need to draw
the curve and shade the area)

9. In 2014, 12% of adults said they learned Japanese by watching
anime and having the subtitles in English. A recent survey found
that 156 of 800 adults said they learned Japanese by watching anime
and having the subtitles in English. Test the claim to see if there
is a differences from the12% in today’s era at a 0.05 level of
significance. (For full credit need to draw the curve and shade the
area)
H0 :
H1 :
Test Stat:...

A simple random sample of 29 filtered 100-mm cigarettes is
obtained from a normally distributed population, and the tar
content of each cigarette is measured. The sample has a standard
deviation of 0.18 mg. Use a 0.01 significance level to test the
claim that the tar content of filtered 100-mm cigarettes has a
standard deviation different from 0.25 mg, which is the standard
deviation for unfiltered king-size cigarettes. Complete parts (a)
through (d) below. a. What are the null and...

A simple random sample of 28 filtered 100-mm cigarettes is
obtained from a normally distributed population, and the tar
content of each cigarette is measured. The sample has a standard
deviation of 0.22 mg. Use a 0.05 significance level to test the
claim that the tar content of filtered 100-mm cigarettes has a
standard deviation different from 0.35 mg, which is the standard
deviation for unfiltered king-size cigarettes. Complete parts (a)
through (d) below. a. What are the null and...

A simple random sample of 48 adults is obtained from a normally
distributed population, and each person's red blood cell count
(in cells per microliter) is measured. The sample mean is 5.19 and
the sample standard deviation is 0.53. Use a 0.01 significance
level and the given calculator display to test the claim that the
sample is from a population with a mean less than 5.4, which is a
value often used for the upper limit of the range of...

A simple random sample of 49 filtered 100-mg cigarettes are
obtained, and the tar content of each cigarette is measured. The
sample has a standard deviation of 3.7mg. Use a 0.10 significance
level to test the claim that the tar content of filtered 100-mg
cigarettes has a standard deviation different from 3.2 mg, which is
the standard deviation for unfiltered cigarettes.

In a simple random sample of size 94, there were 28
children under the age of 13. It is desired to test H0: pchild =
0.18 versus H1: pchild < 0.18.
i). Compute the sample proportion p.
ii). Compute the test statistic.
Do you reject H0 at the 0.05 level?

A simple random sample of 80 workers with high school diplomas
is obtained, and the annual incomes have a mean of $37,622 and a
standard deviation of $14,115. Another simple random sample of 39
workers with bachelor's degrees is obtained and the annual incomes
have a mean of $77,689 with a standard deviation of $24,227. Use a
0.01 significance level to test the claim that workers with a high
school diploma have a lower mean annual income than workers with...

A simple random sample of 100 adults is obtained, and each
person’s red blood cell count (in cells per microliter) is
measured. The sample mean is 5.20 and the sample standard deviation
is 0.50. Use a 0.01 significance level to test the claim that the
sample is from a population with a mean less than 5.3, the
calculated value of t-test statistic is (Given that H0:
µ = 5.3, Ha:µ < 5.3)
1) -20.0
2) -2.0
3) 2.0
4) 20.0

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obtained, and the tar content of each cigarette is measured. The
sample has a mean of 13.2 mg and a standard deviation of 3.7 mg.
Use a 0.05 significance level to test the claim that the mean tar
content of filtered 100 mm cigarettes is less than 21.1 mg, which
is the mean for unfiltered king size cigarettes.
6. The heights are measured for the simple random sample...

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