4) Suppose you collect the following data that you know are a random sample from a...
4) Suppose you collect the following data that you know are a random sample from a N(μ,σ2)
population:
5 8 4 4 2 6 4 6 9 5
a) Compute the t-statistic for testing the hypothesis:
H0 : μ = 4
H1 : μ ≠ 4
b) What is the sampling distribution of the test statistic you computed in part a?
c) Can you reject the null hypothesis of part a at the 5% level of significance? Explain.
Homework Answers
Add Answer to:
4) Suppose you collect the following data that you know are a
random sample from a...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left. No, the...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 14.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.No, the x distribution is skewed left. No, the x distribution...
The observations from a random sample of n = 6 from a normal population are: 13.15,...
The observations from a random sample of n = 6 from a normal population are: 13.15, 13.72, 12.58, 13.77, 13.01, 13.06. Test the null hypothesis of H0:μ=13 against the alternative hypothesis of H1:μ<13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places. (a) What is the sample mean? (b) What is the sample standard deviation? (c) What is the test statistic used in the decision rule? (d) Can the null hypothesis be...
#1 part A.) To test H0: μ=100 versus H1: μ≠100, a random sample of size n=20...
#1 part A.) To test H0: μ=100 versus H1: μ≠100, a random sample of size n=20 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. (aa.) If x̅=104.4 and s=9.4, compute the test statistic. t0 = __________ (bb.) If the researcher decides to test this hypothesis at the α=0.01 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in...
The age distribution of the Canadian population and the age distribution of a random sample of...
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below. Age (years) Percent of Canadian Population Observed Number in the Village Under 5 7.2% 43 5 to 14 13.6% 73 15 to 64 67.1% 297 65 and older 12.1% 42 Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age...
The age distribution of the Canadian population and the age distribution of a random sample of...
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below. Age (years) Percent of Canadian Population Observed Number in the Village Under 5 7.2% 43 5 to 14 13.6% 73 15 to 64 67.1% 297 65 and older 12.1% 42 Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age...
The age distribution of the Canadian population and the age distribution of a random sample of...
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below. Age (years) Percent of Canadian Population Observed Number in the Village Under 5 7.2% 52 5 to 14 13.6% 75 15 to 64 67.1% 282 65 and older 12.1% 46 Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age...
The type of household for the U.S. population and for a random sample of 411 households...
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 101 Married, no children 29% 118 Single parent 9% 28 One person 25% 97 Other (e.g., roommates, siblings) 11% 67 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the...
The type of household for the U.S. population and for a random sample of 411 households...
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 100 Married, no children 29% 118 Single parent 9% 30 One person 25% 93 Other (e.g., roommates, siblings) 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the...
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below. Age (years) Percent of Canadian Po...
The age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below. Age (years) Percent of Canadian Population Observed Number in the Village Under 5 7.2% 48 5 to 14 13.6% 79 15 to 64 67.1% 281 65 and older 12.1% 47 Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age...
Most questions answered within 3 hours.
-
1-The Electrons in a beam are moving at 2.7×108 m/s in an
electric field of 15000...
asked 5 minutes ago -
A gas tank is a vertical cylinder. It has a radius of 1m, a
height of...
asked 31 minutes ago -
Accent Software faces the following conditions. All of these
support Accent’s use of a market-penetration pricing...
asked 1 hour ago -
A mathematically inclined friend emails you the following
instructions: "Meet me in the cafeteria the first...
asked 1 hour ago -
A monopoly sells in two countries . The demand curves in the two
countries are p1...
asked 2 hours ago -
A .15kg rubber ball is bounced off a wall. Before hitting the
wall, the ball moves...
asked 3 hours ago -
A manufacturing company preparing to build a new plant is
considering three potential locations for it....
asked 3 hours ago -
B. If compound Y has approximately the same values of solubility
in toluene as compound X,...
asked 3 hours ago -
Oscar Inc. has inventory in Japan valued at 39,051,000 Yen one
year ago. One year ago...
asked 4 hours ago -
If Canada suffered from "fundamental disequilibrium," and its
government choose not to devalue its currency, a...
asked 4 hours ago -
4. How many input & output Key Value Pairs are passed into,
and emitted out of...
asked 4 hours ago -
Why would your heart not function well if constructed of
skeletal muscle? What is the particular...
asked 4 hours ago