A study was done using a treatment group and a placebo group. The results are shown in the table. 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 0.05 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁/₂ H₁ H₁ H₂ OC. Ho: #₁ #₂ H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: ₁₂ H₁ H₁ H₂ OD. Ho H₁ H₂ H₁: ₁2₂ OA. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OB. Reject the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OC. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. OD. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. <4-20 (Round to three decimal places as needed.) lu P₁ In 28 x 2.36 s 0.96 N Placebo H₂ 32 2.62 0.67

Adam thinks the five people who sit next to him in class spend the same amount of money on their haircut on average. To find out he keeps track of how much their haircuts cost for the next couple of months. Assuming the cost of a haircut is random, normal, and the variances are the same, test if the average cost is equal (the tip is included in the price). Name Number ofhaircuts Averagecost Standard deviation forone haircut Mallory 7 11.9 9 Matt 19 12.9 6.5 Stacey 25 9.8 5.5 Whitney 24 16 7.2 James 5 12.7 8.4 Use three decimal places in the table   DF SS MS F Groups         Error         Total

Do people walk faster in the airport when they are departing​ (getting on a​ plane) or do they walk faster when they are arriving​ (getting off a​ plane)? A reputable researcher measured the walking speed of random travelers in two International Airports. His findings are summarized in the table. LOADING... Direction of Travel Departure Arrival   Mean speed ​(feet per​ minute) 261 268   Standard deviation​ (feet per​ minute) 52 39   Sample size 35 35 Click the icon to view the findings. Do individuals walk at different speeds depending on whether they are departing or arriving at the α=0.05 level of​ significance? Let μ1 represent the mean speed of people departing and μ2 represent the mean speed of people arriving.   State the null and alternative hypothesis.     A. H0​: μ1=μ2 H1​: μ1>μ2   B. H0​: μ1=μ2 H1​: μ1≠μ2   C. H0​: μ1<μ2 H1​: μ1>μ2   D. H0​: μ1=μ2 H1​: μ1<μ2   Determine the​ P-value…

Statisic and prob . Sampling distribution

Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 50 entry-level mechanical engineers and 60 entry-level electrical engineers. Their mean salaries were $46,100 and $46,700, respectively. Their standard deviations were $3,450 and $4,210, respectively. Conduct a hypothesis test to determine if you agree that the mean entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.Solve the following problems. Use the steps in conducting hypothesis tests.

also find test statistics and decision....

Identify the range, variance and standard deviation. show complete solutions

You want to see if the average grade for nontraditional age students is less than the average grade for traditional age students. You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain the following two samples of data.   Non-Traditional Age Students Traditional Age Students 53.9 87 102.9 99.8 44.1 63.9 72.6 87.5 70.2 100.8 88.7 114.4 46.9 54.7 83.4 101.4 38 108.9 53.1 88 29.5 121.5 117.5 74.3 79.8 105.2 86.8 94.1 88.1 92.7 77.3 93.2 44.1 98.4 74.4 114.4 72.6 75.8 29.5 88 42.4 105.8 48.2 108.9 68.7 92.7 90.8 97.4 85.7 97.4 62.5 135.7   Use a significance level of 0.050.05 to answer the following. What is the test statistic for this sample? (Report answer accurate to three decimal places.)t-test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =

You wish to evaluate the differences in educational quality between two training centres (A and B). You take a random sample of 98 individuals trained at centre A, and an independent random sample of 41 individuals trained at centre B. The individuals in both samples take the same, standardised test. The mean test score of individuals in sample A is 85.1 and the sample standard deviation is 12.2. The mean test score in sample B is 67.4 and the sample standard deviation is 11.0. Find the lower limit of a 98% confidence interval for the difference between the population means. Form the confidence interval around a positive point estimate for the difference between the means. In order to obtain a positive point estimate, make sure you subtract the lower value from the higher value when calculating the difference between the sample means. (Provide your answer as a number rounded to 2 decimal places.)

I need the correct answer for b.