In a left-tailed hypothesis for a population mean where the population standard deviation is unknown, the test statistic for a random sample size 18 was calculated to be -4.0545. Determine the P-value for the test.

A sample of 100 observations from a normal population has a mean of 50 and a standard deviation of 10. The null hypothesis is that the population mean is equal to 48, and the alternative hypothesis is that the population mean is greater than 48. Using a significance level of 0.05, what is the decision and conclusion of the hypothesis test?

The means of the two random samples of 1000 and 2000 are 67.5 and 68.0 inches respectively. Can the samples be regarded to have been drawn from the same population of standard deviation 9.5 inches? Test at 5% level of significance.

A sample of n=36 scores has a standard error of 3. What is the standard deviation of the population from which the sample is obtained?

A car company claims that its new SUV gets better gas mileage than its competitor's SUV. A random sample of 35 of its SUVs has a mean gas mileage of 16.7 miles per gallon (mpg). The population standard deviation is known to be 0.9 mpg. A random sample of 42 competitor's SUVS has a mean gas mileage of 16.4 mpg. The population standard deviation for the competitor is known to be 0.6 mpg. Test the company's claim at the 0.02 level of significance. Let the car company's SUVs be Population 1 and let the competitor's SUVS be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Họ :-1 = M2 Ha М2

The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,508 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,328 hours. Let μ be the population mean. Determine the null​ hypothesis, H0​, and the alternative​ hypothesis, H1.

If a population forms a normal shaped distribution with µ =40 and σ = 8 and a sample of 16 scores from this population has a mean of 36, would this sample be relatively typical or extreme?

A random sample of 32 items from the first population showed a mean of 112 and a standard deviation of 19. A sample of 28 items for the second population showed a mean of 106 and a standard deviation of 8. Test the assumption that the population variances are equal with 0.10 significance level. Then, using a 0.05 significance level, test the hypothesis that the population means are equal. 

According to an article in Good Housekeeping, a 128-lb woman who walks for 30 minutes four times a week at a steady, four-mi/hr pace can lose up to 10 lbs over a span of a year.  Suppose 35 women with weights between 125 and 130lb perform the four walks per week for a year and at the end of the year the average weight loss for the 35 was 9.1 lbs.  If the sample standard deviation is 5, calculate the value of the test statistic and find the p-value of the hypothesis test of Ho:µ =10 vs H1:µ≠10.

Suppose a researcher pbserves a population of 12 people and computes SS=204. What is the variance? What is the standard deviation?