A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.8 years with a standard deviation of 6.9 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years. Part (a) Is this a test of one mean or proportion? a.test of one mean b.test of proportions Part (b) State the null and alternative hypotheses. H0: ? ≠ 15 Ha: ? = 15 H0: ? ≥ 15 Ha: ? < 15 H0: ? = 15 Ha: ? ≠ 15 H0: ? ≤ 15 Ha: ? > 15H0: ? = 15 Ha: ? > 15 Part (c) Is this a right-tailed, left-tailed, or two-tailed test? What symbol represents the random variable for this test? ? Part (e) In words, define the random variable for this test. the standard deviation of time spent on death row for 75 inmates mean time spent on death row for 75 inmates the amount of time spent on death row for 75 inmates the proportion of time spent on death row for 75 inmates the number of inmates on death row Part (f) Is the population standard deviation known? YesNo If so, what is it? (Enter your answer to one decimal place. If the standard deviation is not known enter DNE.) Part (g) Calculate the following. (i) Enter your answer to one decimal place. x = (ii) Enter your answer to one decimal place. s = (iii) Enter your answer as a whole number. n = Part (h) Which test should be used? Student's t-test normal test Part (i) State the distribution to use for the hypothesis test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) = Part (j) Find the p-value. (Round your answer to four decimal places.) = Part (k) At a pre-conceived ? = 0.05, what do you determine for each of the following? (i) Decision: reject the null hypothesis do not reject the null hypothesis (ii) Reason for the decision: Since ? < p-value, we do not reject the null hypothesis. Since ? > p-value, we do not reject the null hypothesis. Since? > p-value, we reject the null hypothesis. Since? < p-value, we reject the null hypothesis. (iii) Conclusion (write out in a complete sentence): There is sufficient evidence to warrant a rejection of the claim that the mean length of time on death row is 15 years. There is not sufficient evidence to warrant a rejection of the claim that the mean length of time on death row is 15 years.

A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.8 years with a standard deviation of 6.9 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years. Part (a) Is this a test of one mean or proportion? a.test of one mean b.test of proportions Part (b) State the null and alternative hypotheses. H0: ? ≠ 15 Ha: ? = 15 H0: ? ≥ 15 Ha: ? < 15 H0: ? = 15 Ha: ? ≠ 15 H0: ? ≤ 15 Ha: ? > 15H0: ? = 15 Ha: ? > 15 Part (c) Is this a right-tailed, left-tailed, or two-tailed test? What symbol represents the random variable for this test? ? Part (e) In words, define the random variable for this test. the standard deviation of time spent on death row for 75 inmates mean time spent on death row for 75 inmates the amount of time spent on death row for 75 inmates the proportion of time spent on death row for 75 inmates the number of inmates on death row Part (f) Is the population standard deviation known? YesNo If so, what is it? (Enter your answer to one decimal place. If the standard deviation is not known enter DNE.) Part (g) Calculate the following. (i) Enter your answer to one decimal place. x = (ii) Enter your answer to one decimal place. s = (iii) Enter your answer as a whole number. n = Part (h) Which test should be used? Student's t-test normal test Part (i) State the distribution to use for the hypothesis test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) = Part (j) Find the p-value. (Round your answer to four decimal places.) = Part (k) At a pre-conceived ? = 0.05, what do you determine for each of the following? (i) Decision: reject the null hypothesis do not reject the null hypothesis (ii) Reason for the decision: Since ? < p-value, we do not reject the null hypothesis. Since ? > p-value, we do not reject the null hypothesis. Since? > p-value, we reject the null hypothesis. Since? < p-value, we reject the null hypothesis. (iii) Conclusion (write out in a complete sentence): There is sufficient evidence to warrant a rejection of the claim that the mean length of time on death row is 15 years. There is not sufficient evidence to warrant a rejection of the claim that the mean length of time on death row is 15 years.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Part (a)

Is this a test of one mean or proportion?

a.test of one mean

b.test of proportions
Part (b)

State the null and alternative hypotheses.
H₀: ? ≠ 15
H_a: ? = 15

H₀: ? ≥ 15
H_a: ? < 15

H₀: ? = 15
H_a: ? ≠ 15

H₀: ? ≤ 15
H_a: ? >

15H₀: ? = 15
H_a: ? > 15
Part (c)

Is this a right-tailed, left-tailed, or two-tailed test?

What symbol represents the random variable for this test?
?
Part (e)

In words, define the random variable for this test.
the standard deviation of time spent on death row for 75 inmates

mean time spent on death row for 75 inmates

the amount of time spent on death row for 75 inmates

the proportion of time spent on death row for 75 inmates

the number of inmates on death row
Part (f)

Is the population standard deviation known?
YesNo

If so, what is it? (Enter your answer to one decimal place. If the standard deviation is not known enter DNE.)
Part (g)

Calculate the following.
(i) Enter your answer to one decimal place.
x =

(ii) Enter your answer to one decimal place.
s =

(iii) Enter your answer as a whole number.
n =
Part (h)

Which test should be used?
Student's t-test normal test
Part (i)

State the distribution to use for the hypothesis test. (Enter your answer in the form z or t_df where df is the degrees of freedom.)

=
Part (j)

Find the p-value. (Round your answer to four decimal places.)

=
Part (k)

At a pre-conceived
? = 0.05,
what do you determine for each of the following?
(i) Decision:
reject the null hypothesis

do not reject the null hypothesis

(ii) Reason for the decision:
Since ? < p-value, we do not reject the null hypothesis.

Since ? > p-value, we do not reject the null hypothesis.

  Since? > p-value, we reject the null hypothesis.

Since? < p-value, we reject the null hypothesis.

(iii) Conclusion (write out in a complete sentence):
There is sufficient evidence to warrant a rejection of the claim that the mean length of time on death row is 15 years.

There is not sufficient evidence to warrant a rejection of the claim that the mean length of time on death row is 15 years.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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