A random sample of six dishwashers contains three surface-finish
defects. Please test whether the mean occurrence...
A random sample of six dishwashers contains three surface-finish
defects. Please test whether the mean occurrence rate of
surface-finish defects per dishwasher exceeds 0.5 using ? =
0.05.
Solutions
Expert Solution
Let p denotes the true occurrence rate of surface-finish defects
per dishwasher.
There is not sufficient evidence to support
the claim that the mean occurrence rate of surface-finish defects
per dishwasher exceeds 0.5 using ? = 0.05.
A random sample of six dishwashers contains three surface-finish
defects. Please test whether the mean occurrence rate of
surface-finish defects per dishwasher exceeds 0.5 using ? =
0.05.
Test at the α = 0.05 significance level whether the mean of a
random sample of size n = 16 is statistically significantly less
than 10 if the distribution from which the sample was taken is
normal, ?̅= 8.4 and ? 2 = 10.24. a) What is the appropriate test
you can use to test the claim? b) What are the null and alternative
hypotheses for this test? c) What is your conclusion? d) Find the
confidence interval on the...
In a random sample of 85 automobile engine crankshaft bearings,
10 have a surface finish that is rougher than the specifications
allow.
(a) Find a point estimate for the true proportion of crankshaft
bearings that exceeds the roughness specification.
(b) Find a 95% two-sided confidence interval for the proportion of
bearing in the population that exceeds the roughness
specification.
(c) What is the margin of error?
In a random sample of 85 automobile engine crankshaft bearings,
10 have a surface finish that is rougher than the specifications
allow.
1. Construct a 95% two-sided confidence interval for the true
proportion of bearings in the population that exceeds the roughness
specification.
2. How large a sample is required if we want to be 95% confident
that the error in using the sample proportion to estimating the
ture value p is less than 5%?
3. How large must the...
In a random sample of six microwave ovens, the mean repair cost
was $70.00 and the standard deviation was $12.00. Assume the
variable is normally distributed and use a t-distribution to
construct a 99% confidence interval for the population mean u.
What is the margin of error of u?
The 99% confidence interval for the population mean u is (_, _
) (Round to two decimal places as needed.)
The margin of error is ___. (Round to two decimal places...
In a random sample of six microwave ovens, the mean repair cost
was $75.00 and the standard deviation was $11.00. Assume the
population is normally distributed and use a t-distribution to
construct a 99% confidence interval for the population mean μ.
What is the margin of error of μ? Interpret the results.
A class contains 200 students. The teacher wants to test whether
the mean IQ in the class exceeds 120. He chooses a random sample of
16 students and finds that the mean IQ in the sample is 122.8 and
the standard deviation of the IQ’s in the sample is 10.9.
Let alpha = 0.05. You may assume that IQ's are Normally
distributed. Which one of the following is the correct conclusion
for this hypothesis test?
Group of answer choices
A...
To test H0: mean = 20 vs H1: mean < 20
a simple random sample of size n = 18 is obtained from a population
that Is known to be normally distributed
(a) If x-hat = 18.3 and s = 4.3, compute the test statistic
(b) Draw a t-distribution with the area that represents the
P-value shaded
(c) Approximate and interpret the P-value
(d) If the researcher decides to test this hypothesis at the a =
0.05 level of significance,...
In order to conduct a hypothesis test for the population mean, a
random sample of 12 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 16.6 and 2.2,
respectively.
H0: μ ≤ 14.9 against
HA: μ > 14.9
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal
places and final answer to 3 decimal places.)
a-2. Find the
p-value.
0.05 p-value < 0.10...
In order to conduct a hypothesis test for the population mean, a
random sample of 24 observations is drawn from a normally
distributed population. The resulting sample mean and sample
standard deviation are calculated as 13.9 and 1.6, respectively.
(You may find it useful to reference the appropriate
table: z table or t
table).
H0: μ ≤ 13.0 against
HA: μ > 13.0
a-1. Calculate the value of the test statistic.
(Round all intermediate calculations to at least 4 decimal...