Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is μ=16.00 Mbps. The sample size is n=19 and the test statistic is t=1.224.
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- Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below. H0:μ=8.2 seconds; Ha:μ<8.2 seconds α=0.04 (significance level) z0=−1.75 p=0.0401 Select the correct answer below: a. Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. b. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. c. Reject the null hypothesis because the value of z is negative. d. Reject the null hypothesis because |−1.75|>0.04. e. Do not reject the null hypothesis because |−1.75|>0.04.A two-sample hypothesis test is comparing the averages of the following populations. Population 1 is the salary of female employees and Population 2 is the salary of male employees. A hypothesis test was conducted to see if the average salary of males is greater than the average salary of females. Using the following as the output of the test, state the P-value and interpret the results in context to the problem. Use a significance level of 5% Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Females Males 65,852.00 89,562.00 1,003.00 1,025.00 45 30 0 37 -1.26 0.1200 1.3300 0.2400 1.2800 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt EEVA V Tx XQ5 二 三 ||||| WORDS POWERED BY TINYThe coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance. one-tailed or two-tailed test: State the hypotheses: df= tα or t value for the critical region = sM = t (test statistic)= Decision:
- identify the test statistic. Identify the P-value.The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample Magnitude of Earthquake 0.720 0.740 0.640 0.390 0.700 2.200 1.980 0.640 1.220 0.200 1.640 1.320 2.950 0.900 1.760 1.010 1.260 0.000 0.650 1.460 1.620 1.830 0.990 1.560 0.410 1.280 0.830 1.320 0.540 1.250 0.920 1.000 0.780 0.790 1.440 1.000 2.240 2.500 1.790Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
- Is the mean length of adult invasive Lionfish in the Atlantic coast of South Carolina greater than 355.6mm? (don't answer this, this is just so you know what the data is for) Answer the following questions and use the provided excel images, data on the far left is lionfish data Question 2. Describe your null and alternative hypotheses using symbols. Question 3. Select the significance level (a). Question 4. Select an appropriate test, calculate the test statistic and p-value using Excel. Question 5. Determine whether you should reject or not reject the null hypothesis based on the p-value. State the reason to support your answer. Question 6. Describe your conclusion in words in the context of your research question. paste data below Use this sheet to perform a 1-sample t-test. 457.2 431.9 COUNT MEAN 20.00 437.45 438.2 STANDARD DEVIATION 16.48 436.4 STANDARD ERROR 3.69 416.8 454.6 Confidence Interval 95% 456.6 Level of Significance 0.05 453.1 404.9 447.9 437.9 HYPOTHESIS TEST t-VALUE…Use the random sample data to test the claim that the mean travel distance to work in California is less than 35 miles. Use 1% level of significance. Sample data: x¯=32.4 mi s=8.3 mi n=35 Identify the tail of the test. Find the P-value Will the null hypothesis be rejected? Is the initial claim supported?In a random sample of males, it was found that 27 write with their left hands and 210 do not. In a random sample of females, it was found that 55 write with their left hands and 454 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. Question content area bottom Part 1 a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1>p2 B. H0: p1≥p2 H1: p1≠p2 C. H0: p1≠p2 H1: p1=p2 D. H0: p1=p2 H1: p1≠p2 E. H0: p1=p2 H1: p1<p2 F. H0: p1≤p2 H1: p1≠p2 Part 2 Identify the test statistic. z=enter your response here (Round to two decimal places as needed.) Part 3 Identify the P-value.…
- n engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 160 engines and the mean pressure was 7.7 pounds/square inch (psi). Assume the population variance is 0.36. If the valve was designed to produce a mean pressure of 7.8 psi, is there sufficient evidence at the 0.01 level that the valve performs below the specifications? Step 2 of 3: Find the P-value for the hypothesis test. Round your answer to four decimal places.A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x=33, n=12, 0=4, Ho: H = 31, Hai H>31A random sample of vehicle speeds were collected. Use the data to test the claim that the mean vehicle speed is more than 40 mph. Use a 0.05 level of significance. Sample data: x¯=42 mphs=7 mphn=34 Identify the tail of the test. Find the P-value Will the null hypothesis be rejected? Is the initial claim supported?