The management of a soft drink company is interested in determining whether the proper amount of soft drink has been placed in 1-liter bottles at the local bottling plant. The bottling plant has informed the management that the population standard deviation for 1-liter bottles is 0.025 liter. A random sample of 100 1-liter bottles selected from this bottling plant indicates a sample mean of 0.995 liters. Use a one-sample hypothesis test to decide whether the mean amount in the bottles is different from 1.0 liters. Use a 0.05 level of significance.   State the null and alternative hypothesis for this problem. Determine the sample test statistic value for this problem. Determine the critical test statistic value for this problem. What is your statistical decision for this problem?

Two teaching methods and their effects on science test scores are being reviewed.  A random sample of 5 students, taught in traditional lab sessions, had a mean test score of 76.5 with a standard deviation of 3.3 .  A random sample of 11 students, taught using interactive simulation software, had a mean test score of 82.3 with a standard deviation of 4.6 .  Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software?  Let μ1 be the mean test score for the students taught in traditional lab sessions and μ2 be the mean test score for students taught using interactive simulation software.  Use a significance level of α=0.05 for the test.  Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4 :  Determine the decision rule for rejecting the null hypothesis H0 . Round your answer to three decimal…

In testing the population mean,a left-tailed test has a test statistic of z = -2.72.Which is the correct critical value, if we use α=0.005: 2.576 -2.576 1.645 -1.645

Suppose we have sample data on (y,x) of size n. Consider regressing y on x and a constant using the least square method (OLS estimation). The estimated equation is y = 2.59 +5.19 x + e where e is the residual. The standard errors for the constant and the coefficient were 0.51 and 1.58 respectively. To test the null hypothesis of zero coefficient (for x) at a given significance level, we may use t-statistic. Compute the t-statistic for the coefficient. Make sure the answer is round up to the nearest hundredth. e.g. 3.015 --> 3.02

What is meant by the assumption that the paired sample observations ofYi and Xi are independently and identically distributed? Why is this animportant assumption for ordinary least-squares estimation? When is thisassumption likely to be violated?

A survey on family-friendly housing inventory in Bowling Green is underway to estimate with a 95% confidence interval mean number of 3 bedroom homes for sale. Halfway through their survey, the city reduces the funding available and, consequently, the sample size (total number of houses) must be reduced. In doing so, the margin of error in their analysis will: A. increase, B. stay the same, C. become negative, D. decrease

Claim: The mean systolic blood pressure of all healthy adults is less than than 123 mm Hg. Sample data: For 275 healthy adults, the mean systolic blood pressure level is 122.96 mm Hg and the standard deviation is 15.62 mm Hg. The null and alternative hypotheses are Ho: μ = 123 and H₁: μ< 123. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.)