The hypothesis test
H0:μ=32H1:μ≠32
is to be carried out. A random sample is selected, and yields x¯=37
and s = 15. If the value of the t statistic is t=1.49071198499986,
what is the sample size? (If rounding is required, round to the
nearest integer.)
Sample Size =
T test for single mean
Substitute here known values and solve for n
square on both sides
=>n=20.01
Therefore, sample size approximately will be 20
The hypothesis test H0:μ=32H1:μ≠32 is to be carried out. A random sample is selected, and yields...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.28. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value <...
#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...
Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3 and σ=0.72. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? ii) the 5% level of significance?
Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3 and σ=0.71. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? NoYesClick for List ii) the...
Test the null hypothesis H0:μ=3.3against the alternative hypothesis HA:μ<3.3, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3.1 and σ=0.68. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? NoYesClick for List ii) the...
In a test of the hypothesis H0: μ=48 versus Ha: μ>48, a sample of n =100observations possessed mean X̄ =47.4 and standard deviation s=4.6. The p-value for this test is .902 Interpret the result. Select the correct choice below and fill in the answer box to complete your choice.(Round to three decimal places as needed.) A) The probability (assuming that Ha is true) of observing a value of the test statistic that is at most as contradictory to the null...
Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05. (Round your answers to two decimal places.) (a)x = 52.5 Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the...
Given the following hypothesis: H0 : μ ≤ 12 H1 : μ > 12 For a random sample of 10 observations, the sample mean was 14 and the sample standard deviation 4.80. Using the .05 significance level: (a) State the decision rule. (Round your answer to 3 decimal places.) (Click to select)Cannot rejectReject H0 if t > (b) Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic (c)...
Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of 47 provided a sample mean of 26.9. The sample standard deviation is 6 and the test statistic is 2.171 Determine the p-value for the given test statistic in this problem. Round your answer to three decimal places.
Suppose a study is done to test the null hypothesis
H0: μ = 100. A random sample of
n = 42 observations results in x = 104 and
s = 11.
(a) What is the null standard error in this case? (Round your
answer to three decimal places.)
(b) Plug numbers into the formula and enter the result in the
answer box. (Round your answer to three decimal places.)
Sample statistic
− Null value
Null standard
error
(c) On the...