Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.3, Problem 8AYU
a.
To determine
To compute: The test statistic.
b.
To determine
To find: The critical valuefor the given test at
c.
To determine
To draw: The chi-square distribution.
To depict: The critical region.
d.
To determine
To claim: The rejection of null hypothesis.
To find: The reason.
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Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right.
Assuming equal variances, conduct the test Ho: (uy - H2) = 0 against Ha: (H1 - H2) #0 using a = 0.10.
Sample 1 Sample 2
n, = 17
n2 = 13
%3D
x, = 5.3 x, = 7.6
S, = 3.9
S2 = 4.7
...
Find the test statistic.
The test statistic is
(Round to two decimal places as needed.)
Find the p-value.
The p-value is
(Round to three decimal places as needed.)
State the conclusion. Choose the correct answer below.
O A. Do not reject Ho. There is insufficient evidence that the means differ.
O B. Do not reject Ho. There is sufficient evidence that the means differ.
O C. Reject Ho. There is sufficient evidence that the means differ.
O D. Reject Ho. There is insufficient evidence that the means differ.
In a lake pollution study, the concentration of lead in the upper sedimentary layer of a lake bottom is
measured from 25 sediment samples. The sample mean and the standard deviation of the measurements
are found to be 0.38 and 0.06, respectively. Suppose
Ho : u = 0.34
H1: u# 0.34
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Engineers in a bottle manufacturing facility want to see if the average width of the bottle wall is less than 0.1 cm. To test this, they randomly sample 500 bottles and measure the wall width. The sample average width is 0.099 cm. They also know from previous experience that the standard deviation in wall widths for the population is 0.01 cm. Run a hypothesis test with α = 0.05 to see if the population average wall width is less than 0.1 cm.
Chapter B.3 Solutions
Fundamentals of Statistics (5th Edition)
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- To test Ho: o = 1.7 versus H₁: o>1.7, a random sample of size n = 22 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 1.9, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a= 0.01 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x = (Round to two decimal places as needed.) n example Get more help. Save ER SANS PENSE) Clear allarrow_forwardAn independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given sample size and test statistic. Also determine if the null hypothesis would be rejected at α = 0.05. (a) n=11,T =1.91arrow_forwardTo test Ho: o = 2.1 versus H,: 0> 2.1, a random sample of size n = 25 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s= 2.3, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a = 0.10 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x = 28.79. %3D (Round to two decimal places as needed.) (b) The P-value is. (Round to three decimal places as needed.)arrow_forward
- To test Ho: o = 2.4 versus H₁: o>2.4, a random sample of size n=23 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s= 3.3, compute the test statistic. (b) If the researcher. decides to test this hypothesis at the x = 0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x² =. A (Round to two decimal places as needed.) Help me solve this View an example Get more help. Clear all Type here to search Bi C a R T O (2 96°F Sunny Final check 4:15 PM E 6/18/2022arrow_forwardTo test Ho: o = 2.1 versus H,:0> 2.1, a random sample of size n = 25 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s= 2.3, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a = 0.10 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x =. (Round to two decimal places as needed.)arrow_forwardA sample of n = 49 scores with M = 43 is selected from a population with µ = 40 with σ = 21. What is the standard error for the sample mean?arrow_forward
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