Consider the hypotheses shown below. Given that
x overbar =50, σ=11, n=36, α=0.01, complete parts a and b.
H0: mu greater than or equal to 47
H1: mu less than or equal to 47
a. What conclusion should be drawn?
b. Determine the p-value for this test.
To Test :-
H0 :- µ > 47
H1 :- µ <= 47
Part a)
Test Statistic :-
Z = ( X - µ ) / ( σ / √(n))
Z = ( 50 - 47 ) / ( 11 / √( 36 ))
Z = 1.64
Test Criteria :-
Reject null hypothesis if Z < -Z(α)
Critical value Z(α) = Z(0.01) = 2.326
Z > -Z(α) = 1.64 > -2.326
Result :- Fail to reject null hypothesis
Part b)
P value = P ( Z < 1.6364 ) = 0.9491
Looking for the value Z = 1.64 in standard normal table to find the P value.
Consider the hypotheses shown below. Given that x overbar =50, σ=11, n=36, α=0.01, complete parts a...
Consider the hypotheses shown below. Given that x = 49, σ = 13, n = 37, α e = 0.10, complete parts a and b. H0: μ ≤ 47 H1: μ > 47 a. What conclusion should be drawn? b. Determine the p-value for this test.
Consider the hypotheses shown below. Given that x overbar= 40 ,sigma=11 ,n=33, alpha=0.10 , complete parts a and b. Upper H 0 : mu less than or=38 Upper H 1: mu greater than38 a. What conclusion should be drawn? b. Determine the p-value for this test. a. The z-test statistic is . (Round to two decimal places as needed.) The critical z-score(s) is(are) . (Round to two decimal places as needed. Use a comma to separate answers as needed.) Because...
Consider the hypotheses shown below. Given that x overbar= 48 ,sigma=13 , n=33, alpha=0.10 , complete parts a and b. Upper H 0: mu less than or=45 Upper H 1: mu greater than 45 a. What conclusion should be drawn? b. Determine the p-value for this test. a. The z-test statistic is . (Round to two decimal places as needed.)
Consider the hypotheses shown below. Given that x̅=61, σ=15, n=42, α=0.05, complete parts a and b. Ho: μ ≤ 57 H1: μ > 57 a. What conclusion should be drawn? b. Determine the p-value for this test. Friendly Note: This is an example. For Part a, the answer is Z x̅ = 1.73 and Z α = 1.64 For Part b, the p-value is 0.042. I just want to know 2 things. 1) How do you find Z α ?!...
Consider the hypotheses below: H0: = 50 H1: 50 Given that sample mean x = 50, s=20, n=25, and =0.05, answer the question below: A) What conclusion should be drawn? Determine the critical values B) Determine the p-value for this test
onsider the hypotheses shown below Given that x : 106, σ-27, n-47, α = 0.10, complete parts a through c below. Ho: μ-116 HA-1# 116 a. State the decision rule in terms of the critical value(s) of the test statistic. the critical value(s). Reject the null hypothesis if the calculated value of the test statistic. ▼| is | (Round to two decimal places as needed. Use a comma to separate answers as needed) b. State the calculated value of the...
Consider the hypotheses below. H0: μ=50 H1: μ≠50 Given that x overbar equals x=51,s=10,n=25,and alpha equals=0.05, answer the questions below. a. What conclusion should be drawn? b. Use technology to determine the p-value for this test. a. Determine the critical value(s). The critical value(s) is(are) nothing. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic, (Round to two decimal places as needed.) What conclusion should be drawn? Choose the correct...
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether mu 1 μ1 greater than > mu 2 μ2 at the α = 0.01 level of significance for the given sample data. (b) Construct a 90% confidence interval about μ1 − μ2. (a) Identify the null and alternative hypotheses for this test. A. H0: μ1=μ2 H1: μ1≠ μ2 B. H0: μ1=μ2 H1: μ1<μ2 C. H0: μ1=μ2 H1: μ1>μ2 Your...
Consider the hypotheses below. Ho : μ-50 H1 : μ # 50 Given that X-55, s-20, n-20, and α-0.01, answer the questions below a. What conclusion should be drawn? b. Use technology to determine the p-value for this test. a. Detemine the critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)
assume a significance level of a=0.01 and use the given information to complete parts (a) and (b) below. original claim: the mean pulse rate (in beats per minute) of a certain group of adult males is 72 bpm. the hypothesis test results in a P-value of 0.0692. a.State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) choose the correct answer below. A. Reject H0 because the P-value is less than or equal to a B.Reject...