Question

The accuracy of a coin counter machine is guaged to accept nickelswith a mean diameter of 21.21mm. A sample of 37 nickels was drawn from a reported defective coin counter machine located near a school. The sample had a sample mean of 21.21 mm and a sample SD 0.011 mm.

Test the claim that the mean nickel diameter accepted by this coin counter machine is greater than 21.21 mm. Test at the 0.05 significance level.

A. Identify the correct alternative hypothesis Ha. = OR > OR < 21.21?

B. the test statistic value is ______?

C. Using the traditional method, the critical value is ______?

D. Do you reject Ho OR fail to reject Ho?

Answer #1

A. Here the claim is that the mean nickel diameter accepted by this coin counter machine is greater than 21.21 mm.

So hypothesis is vs

B. Test statistics t is to be used, as population standard deviation is not known

C. The t-critical value for a right-tailed test, for a significance level of α=0.05 is

tc=1.688

*Graphically*

D. As t statistics do not fall in the rejection region, we fail to reject the null hypothesis (H0)

The accuracy of a coin-counter machine is gauged to accept
nickels with a mean diameter of millimeters 21.21 mm. A sample of
37 nickles was drawn from a reported defective coin-counter machine
located near a school. The sample had a sample mean of 21.209 mm
and sample standard deviation 0.011 mm.
Test the claim that the mean nickel diameter accepted by this
coin-counter machine is greater than 21.21 mm. Test at the 0.05
significance level.
(a) Identify the correct alternative...

The accuracy of a coin-counter machine is gauged to accept
nickels with a mean diameter of millimeters 21.21 mm. A sample of
40 nickles was drawn from a reported defective coin-counter machine
located near a school. The sample had a sample mean of 21.209 mm
and sample standard deviation 0.007 mm.
Test the claim that the mean nickel diameter accepted by this
coin-counter machine is greater than 21.21 mm. Test at the 0.01
significance level.
(a) Identify the correct alternative...

The accuracy of a coin-counter machine is gauged to accept
nickels with a mean diameter of millimeters 21.21 mm. A sample of
38 nickles was drawn from a reported defective coin-counter machine
located near a school. The sample had a sample mean of 21.211 mm
and sample standard deviation 0.01 mm.
Test the claim that the mean nickel diameter accepted by this
coin-counter machine is greater than 21.21 mm. Test at the 0.01
significance level.
(a) Identify the correct alternative...

Given the sample mean = 21.15, sample standard deviation =
4.7152, and N = 40 for the low income group,
Test the claim that the mean nickel diameter drawn by
children in the low income group is greater than 21.21 mm.
Test at the 0.1 significance level.
a) Identify the correct alternative hypothesis:
p=21.21p=21.21
μ>21.21μ>21.21
μ=21.21μ=21.21
μ<21.21μ<21.21
p<21.21p<21.21
p>21.21p>21.21
Give all answers correct to 3 decimal places.
b) The test statistic value is:
c) Using the Traditional method, the critical...

A machine that is programmed to package 18.7 ounces of cereal in
each cereal box is being tested for its accuracy. In a sample of 43
cereal boxes, the mean is 18.79 ounces. Assume that the population
standard deviation is 0.24 ounces. Can you conclude at the 5%
significance level that the machine is not working properly? That
is, can you conclude that the machine is either underfilling or
overfilling the cereal boxes?
1. To test: Ho: (Click to
select) β μ p x¯ α (Click
to...

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