In a study of consumer credits, 25 randomly selected credit holders were surveyed, and the mean amount of credit in the past year was found to be $3300 and the standard deviation of $420. Use significance level α=0.05 to test that the mean is less than $3500.
Q: Let X be a continuous random variable whose density is: (see image below): The probability P(0.679…
A: We have to compute the probability that x is greater than 0.679 and less than 1.177
Q: In a study of 49 countries, the sample correlation between an index of political turmoil an the…
A: Answer Given The sample size [n] = 49r = 0.47
Q: Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate…
A: Assume that μ is the population mean cadmium level in this species of mushroom.
Q: Please help me understand set theory.
A: The set theory is a mathematical theory which includes well-determined collections of…
Q: 2. Medical research has shown that repeated wrist extension beyond 20 degrees increases the risk of…
A: 2. Let μ be the population mean wrist extension for people using this new mouse design. The test is…
Q: The mean body mass index (BMI) in patients free of diabetes was reported as 28.2. An investigator…
A: The appropriate Null and Alternative Hypotheses are given below: From the given information, the…
Q: A survey recently reported that the mean national annual expenditure for inpatient and outpatient…
A: Given information Sample mean x̅ = $5,516 Population mean µ = $5,423 Sample size n = 352 Standard…
Q: According to a recent article about individuals who have credit cards, he mean number of cards per…
A:
Q: Find P(A), given that P(A) 0.493.
A: Given, P A=0.493
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A:
Q: ompetitor’s brands (Brand B and Brand C). You have set up a laboratory test of the three types of…
A: Null Hypothesis: H0: There is no difference in the mean distance driven before the tread length of…
Q: An ANOVA provides the following data: Group A's mean is 17.59; group B's mean is 15.74; group C's…
A: As here given that, MeanA= 17.59 > MeanB = 15.74 > Meanc= 14.91
Q: A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who…
A: We are conducting the z test for two proportion test in this given scenario and the complete…
Q: The average one-ounce chocolate chip cookie contains 128 calories. A random sample of different…
A:
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: n=31, μ=709.3, x¯=722.3, s=81.1
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: Denote μ as the true mean credit score.
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: From the provided information, Sample size (n) = 42 Sample mean (x̅) = 719.2 Standard deviation (s)…
Q: The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's…
A: Note:Thank you for posting the question! Since your question has more than 3 parts, we have solved…
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: According to a survey, the mean credit score is 700.8 A random sample of 45 high-income…
Q: According to previous studies, the mean distance each visitor in Greenspan National Park hikes…
A: The random variable distance follows normal distribution. The sample size is 45. The sample mean is…
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A:
Q: nd the mean and the median of the contents. he third value was incorrectly measured and is actually…
A: Given See the handwritten solution
Q: An oil company sends out monthly statements to its customers who purchased gasoline and other items…
A: From the provided information, Sample size (n) = 150 Sample mean (x̄) = 9.16 Standard deviation (s)…
Q: According to previous studies, the mean distance each visitor in Greenspan National Park hikes…
A: GivenMean(x)=27.6standard deviation(σ)=9.9sample size(n)=46significance level(α)=0.10
Q: 52% of students entering four-year colleges receive a degree within six years. Is this percent…
A: Solution: Given information: n= 231 Sample size x= 129 success p^=xn= 129231=0.5584 Sample…
Q: What percentage of scores falls in the tails of a normal curve?
A: Empirical rule: According to empirical rule, 99.7% of data lies within three standard deviations of…
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: Given information Population mean µ = 707.6 Sample size (n) = 43 Mean x̅ = 718.3 Standard deviation…
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: One sample t-test: One sample t-test is used to test the significance difference between population…
Q: propriate test to determine if high-income individuals have higher credit scores at the a = 0.05…
A: Given n=39 Standard deviation=84.3 X bar=714.6 Mu=702.5
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: One sample t test: One sample t test is the hypothesis test that is used to test whether the mean of…
Q: During a quality assurance check, the actual contents (in grams) of six containers of protein powder…
A: Given: n = 6 Formula Used: Mean = ∑Xin Median = 2(n+1)4thterm
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: Given: According to a survey, the mean credit score is 701.5. A credit analyst wondered whether…
Q: Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires…
A: 1] Sample one x1 = 408, n1 =5362] Sample two x2 = 393, n2 =5793] α=0.01
Q: If the owner of a gasoline station wants to study gasoline purchasing habits by motorists at his…
A:
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: The random variable credit scores are normally distributed. The population mean is 707.9. We have to…
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: There is always some contention about the values of a parameters. When parametric values are unknown…
Q: Table 2: Significant Relationship between Management Capability and Productivity of Employees…
A: From the given information, Null Hypothesis: H0: There is no significance relationship between the…
Q: A credit score is used by credit agencies (such as mortgage companies and banks) to assess the…
A: Given, Hypothesised Population Mean, μ= 705.87 Sample Standard Deviation, s = 83.8 Sample Size, n =…
Q: Researchers conducted a study to determine the effects of different types of alcohol on the peak…
A: From the provided information, Sample size (n) = 15 Sample mean (x̄) = 77.4 Standard deviation (s) =…
Q: Reports show that 92% of online searches in March 2021 use Google as the search engine. A network…
A: Given: p=0.92 p^ = 758800=0.9475 α = 0.05 to test the hypothesis of proportion of searches that use…
In a study of consumer credits, 25 randomly selected credit holders were surveyed, and
the mean amount of credit in the past year was found to be $3300 and the standard
deviation of $420. Use significance level α=0.05 to test that the mean is less than $3500.
Step by step
Solved in 2 steps with 2 images
- In order to track the percentages of misdiagnoses by emergency room doctors, a sample of 950 patients revealed that 45 patients were misdiagnosed with indigestion instead of a heart attack. Historically, it was believed that physicians misdiagnose 7% of heart attacks. Using an a=0.05 level of significance, Complete the following steps to determine if this study proves that the misdiagnosis rate is less than the historical 7%? (NOTE: All areas are reported to four decimal places; all z-scores are reported to two decimal places except the two special cases listed at the bottom of the table.) Insert the following values from the question: p= % = (two decimals) (two decimals) n3= (four decimals) Set up the hypothesis statements (no spaces between characters): Ho H Based on the hypothesis statements, will you use a or (1- a) to solve for zent? What area will you use on the z-score table to find zert? What is the value of z?A variety of variables were measured for all tornadoes in the United States in 2017. (a) Since 1950, the proportion of tornadoes that have been F0 is 0.465. Test whether a different proportion of F0 tornadoes occur in Texas than nationally. Note: Treat the tornadoes that struck in Texas as a simple random sample of all tornadoes that struck Texas since 1950 using a 0.05 level of significance. The summarized data show that 82 of 168 tornadoes in Texas were F0 during 2017. State the null and alternative hypotheses. Họ: H1: (Type integers or decimals. Do not round.) Because the data is treated as a simple random sample; npo(1- Po) V10: and the sample size n is less than 5% of the population size, we may the normal model to test the hypothesis. The P-value is. (Type integers or decimals rounded to four decimal places as needed.) If we obtained 100 independent random samples of size 168 from the state of Texas, we would expect (Type integers or decimals rounded to three decimal places as…Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. A government set a safety limit for cadmium in dry vegetables at 0.5 parts per million (ppm). The cadmium levels in a random sample of one species of edible mushroom are in the accompanying data set. At the 10% significance level, do the data provide sufficient evidence to conclude that the mean cadmium level in this species of mushroom is greater than the government's recommended limit of 0.5ppm? Assume that the population standard deviation of cadmium levels in this species of mushroom is 0.45 ppm. Preliminary data analyses indicate that applying the z-test is reasonable. (Note: The sum of the data is 6.57 ppm.) 0.32 0.44 0.17 0.23 0.79 1.21 0.84 0.24 0.46 0.41 0.92 0.54 State the hypotheses for the one-mean z-test.H0: μ (≠, >, <, =) ________ppmHa: μ (≠, >, <, =) _________ppmCompute the value of the test…
- A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 52 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.05. (a) level of significance: .05 | H0: p = 0.77; H1: p < 0.77 (b) The standard normal, since np > 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.)A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850 with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 705.6. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 724.4 with a standard deviation of 84.4. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α=0.05 level of significance. 1) Find: P-value 2) Make a conclusion regarding the hypothesis.
- A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 703.8. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 36 high-income individuals and found the sample mean credit score to be 719.8 with a standard deviation of 81.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α=0.05 level of significance.According to a recent article about individuals who have credit cards, the mean number of cards per person with credit cards is 4.5. To test this result a random survey of 60 individuals who have credit cards was conducted. The survey only includes the number of credit cards per participant. The results of the survey are attached below. (a) What is the variable of interest in this study? Is it qualitative or quantitative? (b) Do the results of the survey imply that the mean number of cards per individual is less than 4.5? Use the a = 0.05 level of significance. E Click the icon to view the data from the survey. (a) What is the variable of interest in this study? Is it qualitative or quantitative? The variable of interest is number of credit cards.It is a quantitative variable. (b) Do the results of the survey imply that the mean number of cards per individual is less than 4.5? Use the a = 0.05 level of significance. State the null and alternative hypotheses. Họ: H = 4.5 < 4.5 H1: H…A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 704.5. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 36 high-income individuals and found the sample mean credit score to be 714.9 with a standard deviation of 81.7. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Ho: H V H1: H V (Type integers or decimals. Do not round.) Identify the t-statistic. to (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. V the null hypothesis.…
- According to the U.S. Department of Transportation’s Air Travel Consumer Report, the nation’s 12 largest airlines recorded an on-time arrival percentage of 77.4% in 2001. Of interest is to estimate the mean delay time for the 22.6% of all flights that did not arrive on time during 2013. A simple random sample of 28 late arriving flights was selected, and the mean delay time of this sample of 28 flights was 14.2 minutes, with a sample standard deviation of s= 6.4 minutes. Use this information to calculate and interpret a 98% confidence interval for the mean delay time for all flights that did not arrive on time during 2013.Which of these experimental designs has the most statistical power (is more likely to show a true difference between 2 treatment conditions)? A. Between-Subjects B. Descriptive Study C. Correlational Study D. Within-SubjectsDuring a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1527, 1532, 1504, 1517, 1528, and 1516. (a) Find the mean and the median of the contents. (b) The third value was incorrectly measured and is actually 1520. Find the mean and the median of the contents again. (c) Which measure of central tendency, the mean or the median, was affected more by the data entry error? ..... (a) The mean is (Round to one decimal place as needed.) The median is (Type an integer or a decimal. Do not round.) (b) The mean is (Round to one decimal place as needed.) The median is (Type an integer or a decimal. Do not round.) (c) After correcting the error, the mean by and the median by The was affected more. (Round to one decimal place as needed.)