Claim: mu does not equal 7000; alpha equals 0.03; sigma equals 382. Sample statistics: x overbarequals 6800, n equals 46 what is the critical value, or the critical value(s)?
Solution :
This is the two tailed test .
The null and alternative hypothesis is ,
H0 :
= 7000
Ha :
7000
= 6800
= 7000
= 382
n = 46
= 0.03
/ 2 = 0.03 / 2 = 0.015
Z/2
= Z0.015 =
2.17
Critical value : -2.17 and +2.17
P-value <
Reject the null hypothesis .
Claim: mu does not equal 7000; alpha equals 0.03; sigma equals 382. Sample statistics: x overbarequals...
Find the critical value, t 0 t0, to test the claim that mu 1 μ1 not equals ≠ mu 2 μ2. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Assume that sigma Subscript 1 Superscript 2 σ21 not equals ≠ sigma Subscript 2 Superscript 2 σ22. Use alpha equals 0.02 . Use α=0.02. n 1 n1 equals =11, n 2 n2 equals =18, x overbar 1 x1 equals = 8.6...
Given a normal distribution with mu μ equals = 101 101 and sigma σ equals = 25 25, and given you select a sample of n equals = 25 25, complete parts (a) through (d). d. There is a 64 64% chance that Upper X overbar X is above what value?
Given a normal distribution with mu equals 103 and sigma equals 25, and given you select a sample of n equals 25, complete parts (a) through (d). a. What is the probability that X is less than 93? P( X < 93)= b. What is the probability that X is between 93 and 95.5? P(93< X than 95.5)= c. What is the probability that X is above 104.8? P( X > than 104.8)= d. There is a 63% chance that...
Two samples are randomly selected from each population. The sample statistics are given below. Find the P-value used to test the claim that mu 1equalsmu 2. Use alphaequals0.05. n 1 equals40, n 2 equals35, x overbar 1 equals12, x overbar 2 equals13, sigma 1 equals2.5, sigma 2 equals2.8
Mu=30.15 sigma=.094 xbar=30.26 S=.085 N=4 A. Given these statistics, does the data indicate the presence of a systematic error at the 95% CI level? B. Would the data indicate presence of a systematic error at 95% CI if no pooled value for s had been available?
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 hypothesis statement to the right using alpha equals0.10 and the data to the right from two independent samples. a) Calculate the appropriate test statistic and interpret the result. b) Calculate the p-value and interpret the result. Click here to view page 1 of the standard normal table. LOADING... Click here to view page 2 of the standard normal table. LOADING... H0: mu 1minusmu2less than or equals 0 H1: mu 1minusmu2greater than 0 x overbar 1 equals 87 x...
(1 point) Test the claim that for the population of statistics final exams, the mean score is 78 using alternative hypothesis that the mean score is different from 78. Sample statistics include n = 23, x = 80, and s = 11. Use a significance level of a = 0.05. (Assume normally distributed population.) The test statistic is The positive critical value is The negative critical value is The conclusion is A. There is not sufficient evidence to reject the...
Test the claim about the population mean, , at the given level of significance using the given sample statistics. Claim: u = 30; a = 0.09; 6 = 3.02. Sample statistics: x = 28.8, n=62 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: u = 30 Hu> 30 0 C. Ho: < 30 Hau= 30 E. Ho: u = 30 H: #30 OB. Ho:u#30 Ha: u = 30 OD. Ho: > 30 Ha: H...
Consider the following hypothesis statement using alpha equals0.05 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. Upper H 0 : mu 1 minus mu 2 equals 0 x overbar 1 equals 14.7 x overbar 2 equals 12.0 Upper H 1 : mu 1 minus mu 2 not equals 0 s 1 equals 2.7 s 2 equals 3.3 n 1 equals 20 n 2 equals 15...