In a study of jury behavior, two samples of participants were provided details about a trial in which the defendant was obviously guilty. Although Group 2 received the same details as Group 1, the second group was also told that some evidence had been withheld from the jury by the judge. Later the participants were asked to recommend a jail sentence. The length of term suggested by each participant is presented here. Is there a significant difference between the two groups in their responses? Test at alpha \alpha = .05. Group 1 n1 = 8n2 = 8 M1 = 3 Group 22 = 6 ss1 = 16 ss2 = 24 Find the DEGREES OF FREEDOM for this study.

An LED light bulb manufacturer claims that the average lifespan of its 60-watt LED light bulbs is 43,000 hours.A corporate watchdog group is suspicious of the company's claim and thinks that the true average lifespan of the 60-watt LED light bulbs produced by the company may be less than the advertised 43,000 hours. The group collected and tested a random sample of 240 light bulbs and found the average lifespan of the sample was 42,958 hours.Use the p-value method to test the hypothesis that the mean lifespan of this brand of 60-watt LED light bulb is less than 43,000 hours, using α=0.025α=0.025. Assume the standard deviation of the lifespan of all such light bulbs is known to be 430 hours.State the null and alternative hypothesis for this test.H0:H0:              H1:H1:              Determine if this test is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailed Should the standard normal (zz) distribution or Student's (tt) distribution be used for this…

In a randomized double-blind clinical trials of a new vaccine children were randomly divided into two groups subjects in group one received the new vaccine while subjects in group 2 received a control vaccine after the second dose 112 of 690 subjects in the experimental group 1  experienced drowsiness as a side effect after the second dose 69 of  571 of the subjects in the control group  2 experienced  drowsiness  as a side effect does the evidence suggest that a higher proportion of subjects in group 1 experience drowsiness as a side effect than subjects in group 2 at 0.05 level of significance? Determine the null and alternative hypothesis? find the test statistic for this hypothesis test? determine the P value for this hypothesis test? do we reject or not reject the null hypothesis and why? State your conclusion?

An experimental study was conducted on the effect of programmed materials in English on the performance of 20 selected college students. Before the program was implemented pretest was administered and after 5 months the same instrument was used to get the post-test result.

A manufacturer is developing a nickel-metal hydride battery to be used in cellular telephones instead of a nickel-cadmium battery. The director of quality control decides to evaluate the newly developed battery by picking a random sample of employees with cellular phones and asking them to use both phones until the batteries run down. The results are given in the excel data file. At the 5% level of significance is there evidence that the new battery provides more minutes of talk time per battery charge? Show your work and give your answer in complete sentences in context of the problem.   Data Table: Person Old Battery Type New Battery Type 1 72.39 89.95 2 75.25 64.60 3 82.10 71.25 4 58.98 87.07 5 67.07 103.11 6 35.98 76.46 7 75.37 83.92 8 66.00 83.42 9 73.14 84.30 10 67.14 92.48 11 83.06 93.48 12 57.00 59.11 13 65.92 92.27 14 76.12 61.81 15 85.21 72.83 16 80.73 42.17 17 60.65 83.89 18 36.63 94.41 19 77.98 70.30 20 75.40 77.72 21 84.70 84.35…

A small pilot study is run to compare a new drug for chronic pain to one that is currently available. Participants are randomly assigned to receive either the new drug or the currently available drug and report improvement in pain on a 5-point ordinal scale: 1=Pain is much worse, 2=Pain is slightly worse, 3= No change, 4=Pain improved slightly, 5=Pain much improved. Is there a significant difference in self-reported improvement in pain? Use the Mann-Whitney U test with a 5% level of significance. Please show work.                                            New Drug:                        4          5          3          3          4          2 Standard Drug:   2          3          4          1          2          3

In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the decision for this hypothesis test?   A) Fail to reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha. B)Fail to reject Ho because the test statistic is not in the rejection region and the p-value is greater than alpha. C) Reject Ho because the test statistic is in the critical region and the p-value is less than alpha. D) Fail to reject Ho because the test statistic is in the critical region and the p-value is less than alpha. E) Reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha.

A small pilot study is run to compare a new drug for chronic pain to one that is currently available. Participants are randomly assigned to receive either the new drug or the currently available drug and to report improvement in pain on a 5-point ordinal scare: 1= pain is much worse,2=pain is slightly worse,3=no change,4=pain improved slightly,5= pain much improved.Is there a significance difference in self reported improvement in pain? Use the Mann-Whitney U test with a 5% level of significance.       New Drug: 4 5 3 3 4 2       Standard Drug: 2 3 4 1 2 3

An experiment was conducted for better understanding of the effectiveness of a particular type of drug for reducing bad cholesterol (LDL) level. The purpose of the experiment was to determine whether different dosages used have significant different outcomes in average LDL reduction.  Twenty subjects with LDL at around 250 to 300 mg/dL had participated in the study and were randomly divided into four groups. Each group was given a specific level of dosage of the drug each day for one month, with a control group that only provided with placebo. The reduction in LDL was recorded and showed in the following table. Positive number indicates reduction and negative numbers indicates increasing in DLD. Use statistical software to analyze the data and answer the following question.   Control Light Dosage Level Medium Dosage Level Heavy Dosage Level  7 25 73 81 -3 17 60 71   6 22 55 79   5 21 41 60  15 12 36 85   Perform a One-way…

In a controlled laboratory experiment, scientists at the University of Minnesota discovered that 25% of a certain strain of rats subjected to a 20% coffee bean diet and then force-fed a powerful cancer-causing chemical later developed cancerous tumors. Would we have reason to believe that the proportion of rats developing tumors when subjected to this diet has increased if the experiment were repeated and 16 of 48 rats developed tumors? Use a 0.05 level of significance.