A mail-order business prides itself in its ability to fill customers' orders in less than six calendar days, on average. Periodically, the operationsmanager selects a random sample of customer orders and determines the number of days required to fill the orders. On one occasion when a sampleof 39 orders was selected, the average number of days was 6.65 with a population standard deviation of 1.5 days.a. Specify the null and alternative hypotheses.b. Caleulate the value of the test statistic. (Round to two decimal places)e. What is the p-value? (Round to four decimal places)d. At a 5 significance level, the decision is to

We have given that Sample size n =39 Sample mean =6.65 Population standard deviation =1.5 NOTE:-…

Answered: A mail-order business prides itself in…

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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A national online business magazine reports that the average cost of a speeding ticket in Miami, including court fees, is $220. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 16 drivers who have been fined for speeding in the last year. Assuming that the distribution of speeding ticket costs is normally distributed and the population standard deviation is $13, is there sufficient evidence to support the police department’s claim at the 0.02 level of significance?
Researchers asked two groups of people to construct a jigsaw puzzle. One group of 55 people, who listened to soft classical music while working, had a mean construction time of 45 minutes. Another group of 45 people, who worked in silence, had a mean construction time of 55 minutes. Assume the population standard deviations for the construction times for people listening to classical music and people working in silence are 9.5 minutes and 11 minutes, respectively. Find the upper bound of the 99% confidence interval for the difference in population construction times between people listening to classical music as they work and people working in silence. Let the people listening to classical music be the first sample, and let the people working in silence be the second sample. Assume the samples are random and independent. Assume that both the population distributions are normally distributed. Round your answer to two decimal places. 90% confidence=1.645 95% confidence=1.96…
Consider a dataset containing the heights of 38 females who said they prefer to sit in the front of the classroom yields a sample average of 62 inches and a sample standard deviation of 2.5 inches. Suppose that the average height for the general population of college females is 65 inches. An analyst wants to test the claim that the true average height of females who prefer to sit in the front of the classroom is lower than it is for the general population. In the hypothesis for the above claim (at significance level of 10%), the appropriate test, test statistic (name and value), and pvalue is the approximate Z-test with z-statistic = 62 and pvalue = 0. the approximate Z-test with z-statistic = 7.40 and pvalue not calculable because normality is not given. = 0. the approximate Z-test with z-statistic = -7.40 and pvalue = 0.
Suppose population 1 is all blue cars sold at used car auctions, and the mean sale price of all such blue cars is $24,579 with a standard deviation of $3,691. Additionally suppose population 2 is all red cars sold at used car auctions, and the mean sale price of all such red cars is $21,948 with a standard deviation of $4,028. If a simple random sample of 47 blue cars sold at used car auctions is selected and the mean sale price of the 47 blue cars in the sample is determined, and if an independent simple random sample of 59 red cars sold at used car auctions is selected and the mean sale price of the 59 red cars in the sample is determined, if appropriate describe completely the sampling distribution of X₁ - X₂ 1 Do we have 2 independent simple random samples? No Yes
When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attain approximately 60% of his or her maximum heart rate. For 20-year-olds, this rate is approximately 120 bpm. A simple random sample of thirty 20-year-olds was taken, and the sample mean was found to be 107 bpm, with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. Compute the p-value: O 0.023 O 0.062 O 0.002 O 0.02
When engaging in weight-control (fitness/fat burning) types of exercise, a person is expected to attain approximately 60% of his or her maximum heart rate. For 20-year-olds, this rate is approximately 120 bpm. A simple random sample of thirty 20-year-olds was taken, and the sample mean was found to be 107 bpm, with a standard deviation of 45 bpm. Researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. Report a 95% confidence region for the mean level of heart rate for this group. the mean level of heart rate is lower than 120.96 the mean level of heart rate is greater than 114.47 the mean level of heart rate is greater than 117.67 the mean level of heart rate is lower than 114.47
A district councilor informs the prospective developer of a shopping centre that the average monthly income per household in his district is 2500 Great Britain Pound. Suppose that the household income in the district is approximately normally distributed and that the standard deviation is about 200 Great Britain Pound, based on an earlier study. For a random sample of 25 households, the mean household income is found to be 2400 Great Britain Pound. At a 5% level of significance, can we justify the district councilor’s claim? If not, at what significance level we can justify?
A national online business magazine reports that the average cost of a speeding ticket in Miami, including court fees, is $220. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 16 drivers who have been fined for speeding in the last year. Assuming that the distribution of speeding ticket costs is normally distributed and the population standard deviation is $14, is there sufficient evidence to support the police department's claim at the 0.02 level of significance? Speeding Ticket Costs in Miami $226 $215 $200 $248 $233 $242 $213 $247 $217 $221 $237 $217 $241 $212 $232 $211 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
. Each member of a large genetics class grows 12 pea plants from an independent pea family. Each family is expected to have 3/4 plants with smooth peas and 1/4 plants with wrinkled peas. a. On average, how many wrinkled pea plants will a student see in her 12 plants? b. What is the standard deviation of the proportion of wrinkled pea plants per student? c. What is the variance of the proportion of wrinkled pea plants per student? d. Predict what proportion of the students saw exactly two wrinkled pea plants in their sample.
Suppose population 1 is all blue cars sold at used car auctions, and the mean sale price of all such blue cars is $24,579 with a standard deviation of $3,691. Additionally suppose population 2 is all red cars sold at used car auctions, and the mean sale price of all such red cars is $21,948 with a standard deviation of $4,028. If a simple random sample of 47 blue cars sold at used car auctions is selected and the mean sale price of the 47 blue cars in the sample is determined, and if an independent simple random sample of 59 red cars sold at used car auctions is selected and the mean sale price of the 59 red cars in the sample is determined, if appropriate describe completely the sampling distribution of X1 - X2? 8. What is the shape of the sampling distribution? Skewed Left Skewed Right Bimodal Normal 9. Are there any unusual features in this sampling distribution? Yes No
Suppose that Jason recently landed job offers at two companies. Company A reports an average salary of $51,500 with a standard deviation of $2,200. Company B reports an average salary of $46,820 with a standard deviation of $5,560. Assume that salaries at each company are normally distributed. Jason's goal is to secure a position that pays $55,000 per year. What are the ?z‑scores for Jason's desired salary at Company A and Company B? Please round your answers to two decimal places.
A national online business magazine reports that the average cost of a speeding ticket in Miami, including court fees, is $220. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 16 drivers who have been fined for speeding in the last year. Assuming that the distribution of speeding ticket costs is normally distributed and the population standard deviation is $14, is there sufficient evidence to support the police department's claim at the 0.02 level of significance? Copy Data Speeding Ticket Costs in Miami $226 $215 $200 $248 $233 $242 $213 $247 $217 $221 $237 $217 $232 $211 $241 $212 Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Họ : 1 = 220 Hap 220

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