Hypothesis Test: Perform the specified hypothesis test. Be sure to include your statistical andin-context conclusion statements.Calcium is essential to tree growth. In 1990, the concentration of calcium in precipitation in Chautauqua,New York, was 0.11 mg/L. A random sample of 10 precipitation dats in 2014 resulted in the followingdata:0.065 0.087 0.070 0.262 0.1260.183 0.120 0.234 0.313 0.108Does the sample evidence suggest that calcium concentrations have increased since 1990? Use thea = 0.05 significance level and the p-value method.

Given information: Data (x) 0.065 0.087 0.07 0.262 0.126 0.183 0.12 0.234 0.313…

Answered: Hypothesis Test: Perform the specified…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Are Quarters Now Lighter? Weights of quarters are carefully considered in the design of the vending machines that we have all come to know and love. Data Set 29 “Coin Weights” in Appendix B includes weights of a sample of pre-1964 quarters (n = 40, x = 6.19267 g, s = 0.08700 g) and weights of a sample of post-1964 quarters (n = 40, x = 5.63930 g, s = 0.06194 g). a. Use a 0.05 significance level to test the claim that pre-1964 quarters have a mean weight that is greater than the mean weight of post-1964 quarters.
The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations. The data for each location on the two different dates is in the table. Do the data show that on average fewer people drive on Friday the 13th? Test at the 5% level. Traffic Count 6th 13th 1990, July 137669 135825 1990, July 129699 128891 1991, September 136898 138275 1991, September 138966 139940 1991, December 132021 129640 1991, December 119268 119214 1992, March 131938 131104 1992, March 123306 124760 1992, November 129499 129219 1992, November 138568 135934 Dates State the null and alternative hypotheses. Ho: Ha? Ha: Hd ? ✓ Calculate the test statistic. Round to four decimal places. d = Calculate the standardized test statistic. Round three decimal places. t = Find the p-value. Round to four decimal places. p-value
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same result. Click here to view the sample analyses. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let sample 1 be the X-ray fluorescence results and let sample 2 be the laboratory chemical results. State the null and alternative hypotheses. Ho: HD H1: HD + Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to three decimal places as needed.) O A. t> В. t O C. t<
Listed below are the lead concentrations in muμg/g measured in different traditional medicines. Use a 0.010.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 1717 muμg/g. Assume that the lead concentrations in traditional medicines are normally distributed. 1010 13.513.5 16.516.5 19.519.5 2121 13.513.5 3.53.5 22.522.5 1313 3.53.5 What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμless than<1717 muμg/g B. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμgreater than>1717 muμg/g C. Upper H 0H0: muμequals=1717 muμg/g Upper H 1H1: muμnot equals≠1717 muμg/g D. Upper H 0H0: muμgreater than>1717 muμg/g Upper H 1H1: muμless than<1717 muμg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to…
In the population of senior students at Shermer High School, the proportion who plan to attend college is 0.64. In a random sample of 100 students from this population, the proportion who plan to attend college is 0.75. We would call the value 0.64 a P-value. z-score. parameter statistic significance level.
Suppose a p-value in an experiement is 0.03. At the 1% alpha level state a decision regarding null hypthesis and write a sentance or two explaining this decision.
To determine if their 2.50 inch galvanized pipes are properly adjusted, Hoffman Manufacturing has decided to use an X-Chart which uses the range to estimate the variability in the sample. Table Answer Control Chart Step 4 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control". Observations: 2.55, 2.49, 2.57, 2.55, 2.58 Sample Mean: 2.548 Period obs1 obs2 obs3 obs4 obs5 1 2 3 4 5 6 7 The average of the selected cell(s) is2.520. Copy Value Sample Mean Sample Range 2.4960 2.54 2.54 2.5040 2.45 2.45 2.4760 2.47 2.50 2.5180 2.51 2.46 2.5040 2.52 2.51 2.48 2.49 2.48 2.48 2.48 2.48 2.53 2.49 2.46 2.55 2.54 2.53 2.49 2.53 2.53 2.50 2.48 2.52 2.55 2.50 2.5100 2.46 2.54 2.54 2.50 2.51 2.5100 2.46 2.53 2.50 2.50 2.45 2.51 2.50 2.53 2.46 2.51 2.48 2.53 2.48 2.47 2.53 2.50 2.53 2.51 2.46 8 2.4880 9 2.47 2.51 2.5040 10 2.46 2.4880 11 2.54 2.46 2.4960 12 2.47 2.4940 13 2.53 2.49 2.51 2.5060 2.50 2.50 14 2.47 2.51 2.51 2.53…
A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 500500 randomly selected people who rode a jet ski, 85%85% wore life vests. Out of 250250 randomly selected boaters, 90.4%90.4% wore life vests. Using a 0.050.05 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: p1=p2: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2 Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places. 3) draw a conclusion and form a decision (word it like "we fail to reject the null hypothesis and…
Conduct a hypothesis for whether consumption and income are linearly related using ? =0.01. The standard error of the slope is 0.144. Slope = 0.75, Intercept = 0, sample:Income 9, 11, 5, 8, 2, 9, 12Consumption 7, 7, 2, 7, 2, 8, 9 Step 1: State the null and alternative hypotheses.Step 2: Choose the significance level.Step 3: Calculate the test statistic.Step 4: Find the critical value(s).Step 5: Compare the test statistic to the critical value(s).Step 6: State the conclusion.
Random Sample of Length of Eruption at Old Faithful 108 99 105 103 99 106 90 104 109 101 DES 105 106 103 120 108 102 103 110 104 113 100 109 102 100 116 101 111 110 102 105 110 95 107 Source: LaDonna Hansen, Park Curator 103 92 103 110 101 104 90 101 108 94 110
A small pilot study is conducted to investigate the effect of a nutritional supplement on total body weight. Six participants agree to take the nutritional supplement. To assess its effect on body weight, weights are measured before starting the supplementation and then after 6 weeks. The data are shown below. Is there a significant increase in body weight following supplementation? Run the test at a 5% level of significance. Demonstrate the five steps for hypothesis testing and explain your results. Subject Initial Weight Weight after 6 Weeks 1 155 157 2 142 145 3 176 180 4 180 175 5 210 209 6 125 126
A dietitian wishes to see if a person's cholesterol level will change if the diet is supplemented by a certain mineral. Seven subjects were pretested and then took the mineral supplement for a six-week period. The results are shown below in the table. Use a paired samples t-chart at a = 0.01 significance level to see difference (Before - After) between the cholesterol levels. State the hypotheses and conclusion. Also, conduct a 99% confidence interval. Subject 1 Before 210 After 190 2 205 170 3 208 210 4 192 188 5 178 173 6 244 228 7 211 198

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