The average student loan debt is reported to be $25,235. A student belives that the student loan debt ishigher in her area. She takes a random sample of 100 college students in her area and determines themean to be $27,524 and the standard devition to be $6000. Is there sufficient evidence to support thestudent' claim at a 5% significance level?a) Determine the null and alternative hypotheses.Hai gHa: Select an answerb) Determine the test statistic. Round to two decimals.t=c) Find the p-value. Round to 4 decimals.P-value=d) Make a decision.Reject the null hypothesisO Fail to reject the null hypothesis15e) Write the conclusion.O There is sufficient evidence to support the claim that student loan debt is higher than $25,235.O There is not sufficient evidence to support the claim that student loan debt is higher than $25,235.Type here to searchEX#E(Put in the correct symbol and value)II(

The hypothesized mean μ=25235 The sample size n=100 The sample mean x¯=27524 The sample standard…

Answered: The average student loan debt is…

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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The accompanying data set lists performance IQ scores for random samples of subjects with blood lead levels categorized as low (1), medium (2), and high (3). Use a 0.05 significance level to test the claim that subjects in those categories have the same median performance IQ score (IQP). Does lead exposure appear to have an adverse effect? Click the icon to view the data for IQ and Lead Exposure First determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from populations with equal medians. O B. Ho: The samples come from populations with equal medians. H₁: The samples come from populations with medians that are not all equal. OC. Ho: The samples come from populations with equal means. H₁: The samples come from populations with means that are not all equal. O D. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from…
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year 1,476 1,800 Occupied Rooms Total Rooms 1,422 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let P₁= population proportion of rooms occupied for current year P2 population proportion of rooms occupied for previous year - P2 less than or equal to 0 greater than 0 Ho P1 Ha P1 P2 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year .80 X Previous Year .77 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. Previous Year p-value = 0.0166 Using a 0.05 level of significance, what is your conclusion? We can conclude that there…
The 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:
The US Department of Energy reported that 45% of homes were heated by natural gas. A random sample of 348 homes in Oregon found that 156 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 1% significance level. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: P Test Statistic = =✓ ✓ OF H₁: P Based on the hypotheses, compute the following: p-value = 45 0° 45 OB vo
In a clinical trial of a drug intended to help people stop smoking, 125 subjects were treated with the drug for 12 weeks, and 14 subjects experienced abdominal pain. If someone claims that more than 8% of the drug's users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.17 as an alternative value of p, the power of the test is 0.95. Interpret this value of the power of the test. The power of 0.95 shows that there is a % chance of rejecting the hypothesis of p = when the true proportion is actually That is, if the proportion of users who experience abdominal pain is actually then there is a % chance of supporting the claim that the proportion of than 0.08. users who experience abdominal pain is (Type integers or decimals. Do not round.)
The accompanying table contains the data for the amounts (in oz) in cans of a certain soda. The cans are labeled to indicate that the contents are 16 oz of soda. Use the sign test and a 0.01 significance level to test the claim that cans of this soda are filled so that the median amount is 16 oz. If the median is not 16 oz, are consumers being cheated? Click the icon to view the data. What are the null and alternative hypotheses? O A. Ho: Median volume ≤ 16 oz H₁: Median volume = 16 oz C. Ho: Median volume = 16 oz H₁: Median volume # 16 oz Find the test statistic. Test statistic (Round to three decimal places as needed.) = More Info 15.6 16.0 16.1 16.1 407 15.7 (…) 16.1 15.9 19:3 15.8 16.5 15.8 15.7 15.9 OB. Ho: Median volume ≤ 16 oz H₁: Median volume > 16 oz O D. Ho: Median volume = 16 oz H₁: Median volume < 16 oz Volume (in ounces) 15.7 15.5 15.7 15.7 15.8 420 15.9 103 16.3 15.7 15.7 16.1 16.3 15.8 15.7 15.6 15.5 15.6 15.5 20 16.0 400 15.8 19:0 15.6 15.6 15.5 16.4 15.9 D - X
Suppose 230 subjects are treated with a drug that is used to treat pain and 52 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0:p=0.20 H1:p>0.20 B. H0:p=0.20H1: p≠0.20 C. H0:p=0.20 H1:p<0.20 D. H0:p>0.20 H1:p=0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is ___________ (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is ___________ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test.
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.05 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 307 173 27 Female 326 148 29 Identify the null and alternative hypotheses. Ho: (1)__________and (2)___________are (3)_____________…
In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 321 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0: p≠0.1 H1: p=0.1 B. H0: p=0.1 H1: p<0.1 C. H0: p=0.1 H1: p≠0.1 D. H0: p=0.1 H1: p>0.1 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is ______ (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is _______ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the rate of…
Q2) Paired-Samples t Test A research project has been tracking the health and cognitive functions of the elderly population in Arizona. The table below shows the memory test scores from some elderly residents, tested first when they were 65 years old and again when they were 75 years old. The researcher wants to know if there is a significant decline in memory functions from age 65 to age 75 based on this sample. In other words, it is hypothesized that the memory score at age 75 is significantly lower than the memory score at age 65. So the null and alternative hypotheses should be directional. The alpha level was set at a = .05 for a one-tailed hypothesis test. Memory score Subject 1 2 3 4 5 6 7 8 9 10 Age 65 62 95 55 90 98 73 73 71 82 66 Age 75 65 88 56 89 90 75 70 70 80 62
A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know 172 Male 315 55 Female 306 145 57 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Ho: and are H: and are Chi-square distribution table Area to the Right of the critical value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 1 0.001 0.004 0.016 2.706 0.010 0.020 0.051 0.103 0.211 4.605 0.072 0.115 0.216 0.352 0.584 6.251 0.207 0.297 0.484 0.711 1.064 7.779 0.412 0.554 0.831 1.145 1.610 9.236 Click to select…
In a study of the accuracy of fast food drive-through orders, one restaurant had 38 orders that were not accurate among 335 orders observed. Use a 0.10 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? Identify the null and alternative hypotheses for this test. Choose the correct answer below. Ho:p = 0.1 H4:p#0.1 O B. Ho: p#0.1 H1:p=0.1 OC. Ho: p=0.1 H:p0.1 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 0.82 (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Final Check parts 2 remaining Clear All MacBook Pro 4) トII トト 88 F10 F7 F9 esc F3 F5 F4 F1 F2 @ 2$ % & delete 2 3 4 6. 7 8 Q W E T Y tab F G K A S caps lock くつ DI

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