According to its records, a hospital claims that theproportion,p, of full-term babies born in the community who weigh more than7pounds is40%. A pediatricianwho works with several community hospitals would like to verify the hospital's claim and investigate. In a random sample of215babies born in the community, 90weighed more than 7pounds. Is there sufficient evidence to reject the claim at the significance level of0.10?Perform a two-tailed test. Then complete the parts below.Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .)(to) Formulate the null hypothesish and the alternative hypothesishho: p = 0.400(b)(c)(d)1p> 0.40Determine which type of test statistic to use.Z1'Find the value of the test statistic. (Round to three or more decimal places.)0.557Find the p-value. (Round to three or more decimal places.)0(and) Can we reject the claim that the proportion of term babies born in hospitalwho weigh more than7pounds is40%?μX S0=0о рXOSO☐#0 O

A random sample of 215 babies born in the community of which 90 weighted more than 7 pounds.

Answered: According to its records, a hospital…

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 researcher is studying hospitals cleanliness comparing carpeted rooms with uncarpted rooms. This researcher would like to determine if the mean number of airborne bacteria (per cubic foot) in carpeted rooms differs from the mean amount of airborne bacteria in uncarpeted rooms. To test thus, carpeted and uncarpeted hospitals rooms were randomely selected. Then air from the room was pumped over a petri dish and the number of bacteria of the patri dish was recorded. Since both samples are small (less than 30), you may assume that number of bacteria per petri dish is normally distributed. Using significant level =.05, use the unequal varance t-test for means to determine if the mean number of airborne bacteria in carpeted rooms differs from the mean number of airborne bacteria in uncarpeted rooms. Follow all steps and remember that you must assign population 1 and population 2 before you set up your Ho and Ha.
When a poultry farmer uses his regular feed, the newborn chickens have normally distributed weights with a mean of 62.462.4 oz. In an experiment with an enriched feed mixture, ten chickens are born with the following weights (in ounces). 66.5, 64.4, 64.6, 65.5, 66.3, 67.4, 66, 62.4, 65.9, 6266.5, 64.4, 64.6, 65.5, 66.3, 67.4, 66, 62.4, 65.9, 62 Use the α=0.01α=0.01 significance level to test the claim that the mean weight is higher with the enriched feed. (a) The sample mean is x⎯⎯⎯=x¯= (b) The sample standard deviation is s=s= (c) The test statistic is t=t= (d) The critical value is t∗=t∗= (e) The conclusion is
In tests of a computer component, it is found that the mean time between failures is 909 hours. A modification is made which is supposed to increase reliability by increasing the time between failures. Tests on a sample of 25 modified components produce a mean time between failures of 955 hours. Using a 1% level of significance, perform a hypothesis test to determine whether the mean time between failures for the modified components is greater than 909 hours. Assume that the population standard deviation is 53 hours.
Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?
A particular IQ test is standardized to a Normal model, with a mean of 80 and a standard deviation of 8. A group of 8,000 people had participated in a study based on IQ. Using the Empirical rule determine about how many of them should have IQ scores more than 72?
A fast-food franchise, looking to reduce wait times for customers, launched a pilot program where customers could use a smartphone app to place orders. The mean wait times (in seconds) for in-store and drive-through customers at 10 stores participating in the pilot program and at 10 stores not in the program are recorded. Assume that the population standard deviation of mean wait times is 30 seconds for both groups of stores and that the mean wait times are normally distributed for both groups of stores. Let the mean wait times of the stores not in the program be the first sample, and let the mean wait times of the stores in the program be the second sample. The franchise conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence that the smartphone app reduces wait times. (a) H0:μ1=μ2; Ha:μ1>μ2, which is a right-tailed test. Mean Wait Time: Not In Program Mean Wait Time: In Program 275 176 284 218 307 261 290 252 351 238…
About 11% of men are excluded by NASA’s Astronaut Selection Program based solely on height (11% of men are less than 157.5cm or more than 190.5cm). These height requirements are not adjusted according to sex, so females are subject to the same height requirements. What percentage of females does the Astronaut Selection Program exclude, if the mean height of females is 162.6 cm with a population standard deviation of 9.7 cm?
According to the American Freshman, the number of hours that college freshmen spendstudying each week is normally distributed with a mean of 7 hours and a standard deviationof 5.3 hours.a) What percent of college freshmen study between 7 and 12.3 hours per week?b) What percent of college freshmen study more than 17.6 hours per week?
If a quality control manager wants to estimate the mean life of light bulbs to within + 21 hours with 99% confidence and also assumes that the population standard deviation is 85 hours, how many light bulbs needed to be selected?
The shelf life of a photographic film is of interest to the manufacturer, whoobserves the following shelf life for eight units chosen at random from the currentproduction. Assume that shelf life is normally distributed – 108, 134, 124, 116, 128, 163, 159, 134 days. Is there any evidence that the mean shelf life is greater than to 125 days.
A financial analyst wants to ascertain whether there is a disparity in the mean rate of return for 6 types of transactions. The analyst selected a sample of 198 and conducted an ANOVA test that is shown as follows Variation SS MS Betwsan (Tratment) 156 2. Within (Enar Total 574 The Frado s wusl o? Round answer to th decimal places ex.2.051)

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