A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, H, of the population from which the sample was drawn. Use the critical- value approach. Sample mean 7.8 S = 1.5 n = 18 a = 0.01 Ho: H = 10 H1: u < 10 1. The test statistics is (Round to three decimal places) 2. The critical value(s) is/are (If there are two critical values separate each with a comma.) 3. The decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject)

How do you find the p-value for this?

Red Blood Cell Count: A simple random sample of 300 adult males is taken to measure the red blood cell count (in cells per microliter). Use a significance level of 0.01 to test the claim that the sample has a mean less than the population mean (μ = 5.4 million cells per microliter). Does the sample have a normal distribution? Explain why. Does the result suggest that the male sample has a red blood cell count below 5.4 million cells per microliter? Determine the descriptive statistics of the sample. State the statistical hypotheses: H0 and HA. Determine the α Is this test one or two tailed? What statistical conclusion did you reach regarding the question being evaluated? RED 4.80 4.73 4.47 4.32 4.95 3.95 4.68 4.60 4.09 5.47 4.44 4.15 5.07 4.38 5.22 4.22 4.32 4.30 6.34 5.60 4.93 5.18 3.54 4.61 4.22 4.99 5.23 4.01 4.07 5.06 4.30 4.28 4.76 4.14 4.61 4.67 4.36 4.28 4.59 4.77 3.86 5.38 5.03 4.60…

Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed​populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.01 significance level for both parts.     Diet Regular   μ μ1 μ2 n 33 33 x 0.78488 lb 0.80356 lb s 0.00444 lb 0.00744 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. i) What are the null alternative hypothesis?   ii) What's the test statics?   iii) What's the P-value?   iv) State the conclusion   vi) construct a confidence interval suitable suitable for testing the claim that the two samples are from populations with the same mean   vii) Does the confidence interval…

Assume that a simple random sample has been selected from a normally distributed population.  State the final conclusion.Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23,  and s = 11,500 miles. Use a significance level of α = 0.01.H0: μ = 220,000     HA: μ > 220,000State your conclusion about H0. Choose the best answer below: A. Reject HA B. Do not reject H0 C. Do not reject HA D. Reject H0 E. Cannot draw a conclusion for information given

Answer all these questions correctly thanks.

A sample​ mean, sample​ size, and population standard deviation are provided below. Use the​ one-mean z-test to perform the required hypothesis test at the 10​% significance level.   x=26 n=20​, σ=6 H0​: μ=24 Ha​: μ>24   The test statistic is z=___________ ​(Round to two decimal places as​ needed.)   Identify the critical​ value(s). Select the correct choice below and fill in the answer box within your choice. ​(Round to two decimal places as​ needed.)   A. The critical values are ±zα/2=±______________ B. The critical value is −zα=_____________ C. The critical value is zα=___________       _____ (Reject, do not reject) the null hypothesis. The data ____________________(do not provide, provide sufficient) evidence to conclude that the mean is (less than 40, equal to 40, not equal to 40, greater than 40)

Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 В. Но На > 0 Ha: Ha s0 O C. Ho: Ha = 0 Ha: Hd #0 D. Ho: Ha <0 Ha: Hd 20 O E. Ho: Hd + 0 Ha: Hd F. Ho: Hd 20 Ha: Hd = 0 <0 The test statistic is t= (Round to two decimal places as needed.)

Use technology to help you test the claim about the population​ mean, μ​, at the given level of​ significance, α​, using the given sample statistics. Assume the population is normally distributed.   ​Claim: μ>1300​; α=0.08​; σ=211.56. Sample​ statistics: x=1326.31​, n=250       Identify the null and alternative hypotheses. Choose the correct answer below.     A. H0​: μ≥1326.31 Ha​: μ<1326.31   B. H0​: μ≥1300 Ha​: μ<1300   C. H0​: μ≤1326.31 Ha​: μ>1326.31   D. H0​: μ>1326.31 Ha​: μ≤1326.31   E. H0​: μ≤1300 Ha​: μ>1300   F. H0​: μ>1300 Ha​: μ≤1300 Calculate the standardized test statistic.   The standardized test statistic is enter your response here. ​(Round to two decimal places as​ needed.) Determine the​ P-value.   P=enter your response here ​(Round to three decimal places as​ needed.) Determine the outcome and conclusion of the test.   ▼   Reject Fail to reject H0. At the 8​%…

A sample mean, sample size, and population standard deviation are  provided below.  Use the one-mean z test to perform the required hypothesis test at the 1% signifigance level. Find the test statistic and p-value.  Do we reject or fail to reject? x bar=17 n=36 standard deviation=6 Ho: mean=21 Ha: mean  <21