You are testing H0: u=100 against HA: u>100 based on an SRS of 16 observations from a Normal population. The t-statistic is t = 2.13 1.
The degrees for the t statistic are:
A. 15
B. 16.
C. 17
2.
The p-value for the statistic in the previous exercise:
A. falls between 0.05 and 0.10
B. falls between 0.01 and 0.05
C. is less than 0.01
1) degrees of freedom = n -1
d.f = 16 -1
Degrees of freedom = 15
2)
P-value for t = 2.13 , d.f = 15 , right tailed test
p-value = P( t > 2.13) df = 15
p-value = 0.0251
P-value falls between 0.01 and 0.05
You are testing H0: u=100 against HA: u>100 based on an SRS of 16 observations from...
3. You are testing H0: u 500 against Ha: u < 500 based on an SRS of 16 observations from a Normal population. The data give-=498 and s-4. The value of the t statistic is (c) 2 (b)4 (a) 16 500
You are testing H0: μ = 100 against Ha: μ < 100 based on an SRS of 21 observations from a Normal population. The data give x̄ = 9.1 and s = 3.6. The value of the t statistic (±0.01) is _______
QUESTION 1: You are testing H0: µ = 100 against Ha: µ < 100 based on an SRS of 18 observations from a Normal population. The data give x¯¯¯x¯ = 8.3 and s = 5. The value of the t statistic (±0.01) is QUESTION 2: You have an SRS of 14 observations from a Normally distributed population. What critical value (±±0.001) would you use to obtain a 99.5% confidence interval for the mean μμ of the population?
You are testing H0:μ=100H0:μ=100 against Hα:μ<100Hα:μ<100 based on an SRS of 1717 observations from a normal population. The data gives ¯x=6.9x¯=6.9 and s=3.2s=3.2 . What is the value of the tt statistic? Provide your answer with precision to two decimal places. tt statistic:
You are conducting a significance test of H0: μ = 5 against Ha: μ > 5. After checking the conditions are met from a simple random sample of 30 observations, you obtain t = 2.35. Based on this result, describe the p-value. The p-value falls between 0.15 and 0.2. The p-value falls between 0.025 and 0.05. The p-value falls between 0.01 and 0.02. The p-value falls between 0.005 and 0.01. The p-value is less than 0.005.
The one-sample t statistic for testing H0: μ = 40 Ha: μ ≠ 40 from a sample of n = 13 observations has the value t = 2.77. (a) What are the degrees of freedom for t? (b) Locate the two critical values t* from the Table D that bracket t. < t < (c) Between what two values does the P-value of the test fall? 0.005 < P < 0.01 0.01 < P < 0.02 0.02 < P <...
The one-sample t statistic for testing H0: μ = 20 Ha: μ < 20 based on n = 7 observations has the value t = −1.89. (a) What are the degrees of freedom for this statistic? (b) Between what two values does the P-value of the test fall? (You may use Table D.) A) 0.005 < P < 0.010 B) .01 < P < 0.02 C) 0.02 < P < 0.025 D) 0.025 < P < 0.05 E) 0.05 <...
In testing H0:μ=77 versus Ha:μ≠77 for some population, a random sample of 17 observations from a normally distributed population with unknown standard deviation yielded a test statistic of 2.638. The p-value for this test is Select one: a. 0.0041 b. between 0.005 and 0.010 c. between 0.01 and 0.02 d. 0.0082 e. impossible to determine based on the given information.
Consider the following hypotheses: H0: μ ≥ 160 HA: μ < 160 The population is normally distributed. A sample produces the following observations: 152 138 151 144 151 142 Conduct the test at the 1% level of significance. (You may find it useful to reference the appropriate table: z table or t table) a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and...
Consider the following competing hypotheses:
H0: ρxy ≥ 0
HA: ρxy < 0
The sample consists of 30 observations and the sample correlation
coefficient is –0.46. [You may find it useful to reference
the t table.]
a-1. Calculate the value of the test statistic.
(Round intermediate calculations to at least 4 decimal
places and final answer to 3 decimal places.)
a-2. Find the p-value.
p-value < 0.01
p-value
0.10
0.05
p-value < 0.10
0.025
p-value < 0.05
0.01
p-value <...