A sample of n=18n=18 data values randomly collected from a normally distributed population has variance s2=24.6s2=24.6. We wish to test the null hypothesis H0:σ2=64H0:σ2=64 against the alternative hypothesis H1:σ2<64H1:σ2<64 at a significance of α=0.01α=0.01. What is the value of the test statistic? Write your answer rounded to 3 decimal places. What is the critical value? Write your answer rounded to 3 decimal place

You want to run a 2-tailed independent t-test on sample 1 (M = 24.3, SD = 1.6) and sample 2 (M = 27.5, SD = 1.8), which each have sample size = 5. You have set Alpha = 0.01. Assume equal variances and calculate t_obs.

he average American consumes 96 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 104.4 liters of alcohol consumed per year with a standard deviation of 18 liters. What can be concluded at the the αα = 0.10 level of significance? For this study, we should use     The null and alternative hypotheses would be:       H0:H0:                   H1:H1:               The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is     αα Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly more than 96 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 96 liters per year. The…

The human resources department of a large investment bank announced that the number of people it interviews monthly has a mean of 105, with a variance of 262.44. The management of the bank suspects that the variance exceeds 262.44. Suppose that the management wants to take a small sample of months and carry out a hypothesis test to see if it's suspicious have support. State the thanks hypothesis Ho and alternative hypothesis H1 that it would use for this test.

1486 freshman took an algebra 1 final exam with a variance of 165.0989 , standard deviation of 12.8491 and mean of 78.0067 . 984 sophomores took the final exam in algebra 1 , with a variance of 176.5610, standard deviation of 13.2876 and a mean of 77.3628 The null hypothesis is there is no significant difference in the final exam averages across different academic years . The alternative hypothesis is there is a significant difference in the final exam averages acosss different academic years . Do we reject or fail to reject the null hypothesis ? Explain

The environmental research scientists report that the exhaust emissions for a certain car model has a normal distribution with a mean of 1.45 grams of nitrous oxide per mile and a standard deviation of 0.4. The car manufacturer claims their new process reduces the mean level of exhaust emitted for this car model. A Simple random sample of 36 cars is taken and the mean level of exhaust emitted for this sample is 1.21 grams. (a) State the null and alternative hypotheses. (b) Calculate the test statistic. (c) Calculate the Zc and p-value. Draw the picture. (d) What is the decision at the 0.05 significance level?

The University of Florida is interested in determining if there is a difference in the amount of money spent on food every two weeks between male and female students. They take a random sample of 20 male students (group 2) and 20 female students (group 1). They also find that xbar2 is 106 with a standard deviation of 14, and xbar1 is 146 with a standard deviation of 39. Do not assume equal variances. Find the test statistic for the difference in the amount of money spent. (Round your answer to one number after the decimal.)

The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2140 pounds with a variance of 32,761. A consumer protection agency claims that the actual variance is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis Ho and the alternative hypothesis H₁ they would use for this test. Ho: H₁: 0 μ OSO 0=0 X X Р ☐#0 S O0 020

A random sample of 23 bags of apples (marked as 10 pounds each) received by a large grocery chain tested out as having a mean of 9.2 pounds with a variance of 2.56 pounds. Test whether the true mean of all bags is under 10 pounds. Set up hypotheses. Perform the appropriate test by showing your formula. Interpret the results using a Type I (alpha) error of .05. Also provide the p value here. Also construct a 95% confidence interval around your sample mean (X bar) that should contain the true mean (mu). Also interpret this interval.

A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 61 doors is made, and it is found that they have a mean of 2044 millimeters with a variance of 729. Is there evidence at the 0.05 level that the doors are either too long or too short? State the null and alternative hypotheses for the above scenario.