To test H0: μ= 100 versus H1: μ ≠ 100, a simple random sample size of n = 16 is obtained from a population that is known to be normally distributed.
(a) x̅ = 104.7 and s = 8.4. compute the test statistic.
solution:-
given that n = 16 and µ = 100
(a) if x = 104.7 , s = 8.4
test statistic t = (x-µ)/(s/sqrt(n))
t = (104.7-100)/(8.4/sqrt(16))
t = 2.238
#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...
To test H0:μ=20 versus H1;μ=less than 20, a simple random sample of size n=16 is obtained from a population that is known to be normally distributed.. If x-bar=18.1 and s=4.2, compute the test statistic.
To test Ho μ-100 versus H1 : μ#100, a simple random sample size ofna 23 is obtained from a population that is known to be normally distributed. Answer parts EB Click here to view the t-Distribution Area in Right Tail. (a) If x 105.4 and s 9.3, compute the test statistic (Round to three decimal places as needed.)
1. Ho: μ-100 versus H1: μ # 100, a simple random sample of size n 23 To test is obtained from a population that is known to be normally distributed: (a) If = 104.8 and s = 9.2, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a 0.01 level of significance, determine the critical values. (c) Draw a r-distribution that depicts the critical region. (e) Construct a 99% confidence interval to test the...
To test H0: σ= 2.3 versus H1 : σ> 2.3, a random sample of size n = 18 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d). (a) If the sample standard deviation is determined to be s- 2.1, compute the test statistic. z(Round to three decimal places as needed,) TO test H0: ơ-1.4 versus H1 : ơt 1.4, a random sample of size n-21 is obtained from a population that is...
1. Ho: μ 100 versus H1: μ # 100, a simple random sample of size n 23 To test is obtained from a population that is known to be normally distributed: (a) If 104.8 and s-9.2, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a 0.01 level of significance, determine the critical values. (c) Draw ar-distribution that depicts the critical region. (d) Will the researcher reject the null hypothesis? Why? Then state the...
To test H0: σ = 40 versus H1: σ < 40, a random sample of size n=27 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 28.8, compute the test statistic (b) if the researcher decides to test this hypothesis at the a=0.05 level of significance, use technology to determine the P-value.(c) Will the researcher reject the null hypothesis?
To test Ho : ?= 20 versus H1 : ?< 20, a simple random sample of size n = 17 is obtained from a population that is known to be normally distributed Answer parts (a)-(d) E Click here to view the t-Distribution Area in Right Tail (a) If x 18.3 and s 3.8, compute the test statistic. t-(Round to two decimal places as needed.)
To test H0: mean = 80 vs. H1: mean < 80, a simple random sample of size n = 22 is obtained from a population that is known to be normally distributed. (a) If x-hat = 76.9 and s = 8.5 compute the test statistic (b) If the researcher decides to test the hypothesis at the a = 0.02 level of significance, determine the critical value. (c) Draw a t-distribution that depicts the critical region (d) Will the researcher reject...
Consider H0: μ=72 versus H1: μ>72. A random sample of 16 observations taken from this population produced a sample mean of 75.4. The population is normally distributed with σ=6. a. Calculate the p-value. Round your answer to four decimal places.