The mean score earned on the math SAT is522. The standard deviation of these scores is32. A special prep course claims that the average score its graduateshave earned on the SAT,μ,is greater than522. An independent researcher tests this by taking a random sample offiftstudents who completed the course; themean score students in the sample earned on the math SAT was533. At the significance level of0.05, can we conclude that the population mean of the scoresobtained is greater than522? Assume that the population standard deviation of course graduate scores is also32.Perform a one-tailed test. Then complete the following.Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .)(to) Formulate the null hypothesish and the alternative hypothesishh :00(b)(c)(d)h, :101'Determine what type of test statistic to use.(Choose an option)Find the value of the test statistic. (Round to three or more decimal places.)0Find the critical value. (Round to three or more decimal places.)μXIロ=ロ0#0XS>O☐<0рŚ Perform a one-tailed test. Then complete the following.Carry intermediate calculations to three or more decimal places and round answers as specified below. (If necessary, you can refer to a list of formulas .)(to) Formulate the null hypothesish and the alternative hypothesishho :00(b)(c)h₁1(d):01'Determine what type of test statistic to use.(Choose an option)Find the value of the test statistic. (Round to three or more decimal places.)0Find the p-value. (Round to three or more decimal places.)0(and) Can we support the claim that the population mean number of miles cars aredriven annually under new contracts is less than13,260miles?O Yeah O NoμX0=00#0XaS☐<☐Р

The hypothesized mean SAT score in math, μ0=522.The standard deviation of the distribution of the…

Answered: The mean score earned on the math SAT…

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 cheetah is the fastest land mammal and Is highly specialized to run down prey. Thecheetah often exceeds speed of 60 miles per hour (mph) and is capable of speed 72 mph. Thesample mean and standard deviation of speeds of 35 cheetahs are 59.53 mph and 4.19,respectively. A histogram of the speeds is bell-shaped. Use the empirical rule to estimate thepercentage of the observations that lie within one, two and three standard deviation of theeither side of the mean.
According to the World Health Organization, the average height of a one-year-old child is 29". You believe children with a particular disease are smaller than average, so you draw a sample of 20 children with this disease and find a mean height of 27.5" and a sample standard deviation of 1.5". The test statistic is -4.4721 and the p-value is 0.00013 using the calculator function TTEST. If a=0.05, what conclusions can be made? Provide a detailed conclusion including contextualization to the given scenario.
Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is the cumulative proportion stated as a percentage: the percentage of all scores that were lower than this one. In 2019, the scores on the Mathematics portion of the SAT were close to Normal, with mean 528528 and standard deviation 117. Joseph scored 411.411. What was his percentile?
The mean number of eggs per person eaten in the United States is 223. Do college students eat a different number of eggs than the average American? The 51 college students surveyed averaged 237 eggs per person and their standard deviation was 39.3. What can be concluded at the a = 0.01 level of significance? %3D a. For this study, we should use Select an answer b. The null and altemative hypotheses would be: H 2 Select an answer v H 2vSelect an answer v c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is | ? v a f. Based on this, we should Select an answer V the null hypothesis. g. Thus, the final conclusion is that... O The data suggest that the populaton mean is significantly different from 223 at a = 0.01, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 223. Toctor O The data…
On a measure of running speed on a 100 meter dash, students received timed scores ranging from 12 seconds to 24 seconds. The distribution of running times is normative with a mean of 16 seconds. Transferring this ratio data to standard scores for comparison with the results of classes from other departments, the mean score is assigned a standard score of 100 with a standard deviation of 10. From this example, a standard score of 99 would mean the actual value in seconds for an individual would be about a. 16 b. 12 c. 19 d. 24
Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, µ, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 37 hours and that the standard deviation is 3 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H ,) that should be used for the test? H:u is 7 In the context of this test, what is a Type I error? АТурe I error is 7 fact, u is 7 | the hypothesis that µ is ? when, in Suppose that we decide not to reject the null hypothesis. What sort of error might we be making? ?
A public bus company official claims that the mean waiting time for Bus # 14 during peak hours is approximately 10 minutes. Karen took Bus # 14 during peak hours on 36 different occasions. Her mean waiting time was 8.7 minutes. Assume that the population standard deviation o of 2.9 minutes is known. At the 0.01 significance level, test if the mean of all the peak hours waiting time for Bus # 14 is significantly different from 10 minutes.
Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, u, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 35 hours and that the standard deviation is 3 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? H: u is ? H: u is ? In the context of this test, what is a Type II error? A Type II error is ? fact, u is ? v the hypothesis that u is ? ? v. when, in Suppose that we decide to reject the null hypothesis. What sort of error might we be making? ?
The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.
Please answer B, C, & D.
Do shoppers at the mall spend more money on average the day after Thanksgiving compared to the day after Christmas? The 52 randomly surveyed shoppers on the day after Thanksgiving spent an average of $122. Their standard deviation was $29. The 59 randomly surveyed shoppers on the day after Christmas spent an average of $117. Their standard deviation was $35. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis.
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