random sample of 76 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 294. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 33. At α=0.13​, is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e).       Question content area bottom Part 1 ​(a) Write the claim mathematically and identify H0 and Ha. Choose the correct answer below.     A. H0​: μ=285 Ha​: μ>285 ​(claim)   B. H0​: μ=285 ​(claim) Ha​: μ>285   C. H0​: μ≤285 Ha​: μ>285 ​(claim)   D. H0​: μ≥285 ​(claim) Ha​: μ<285   E. H0​: μ≤285 ​(claim) Ha​: μ>285   F. H0​: μ<285 Ha​: μ≥285 ​(claim) Part 2 ​(b) Find the standardized test statistic​ z, and its corresponding area.   z=enter your response here ​(Round to two decimal places as​ needed.) Part 3 ​(c) Find the​ P-value.   ​P-value=enter your response here ​(Round to three decimal places as​ needed.) Part 4 ​(d) Decide whether to reject or fail to reject the null hypothesis.     Reject H0   Fail to reject H0 Part 5 ​(e) Interpret your decision in the context of the original claim.   At the 13​% significance​ level, there ▼   is is not enough evidence to ▼

Q: A random sample of 82 eighth grade​ students' scores on a national mathematics assessment test has a…

A: From given data we have : n=82 μ=280,σ=37

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

A:

Q: The mean serum-creatinine level measured in 13 patients 24 hours after they received a newly…

A: Given that    a...We have to test hypothesis for the claim that population mean is different than 1…

Q: I. Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, can absorb and accumulate…

A: The question is about hypothesis testing.Given :To find :Check the normality assumption and test the…

Q: In 2007, the mean rate of violent crime (per 100,000 people) for 10 regions in the northeast of a…

A: From the provided information, Mean (µ) = 322 Standard deviation (σ) = 112 X~N (322, 112)

Q: Hypothesis Tests - 2 samples x C Solved: One of the questions b Answered: The mean numbero x P…

A: Answer:- The independent t-test implies that the means of the two independent populations are…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.7 and a standard…

A: Given data, μ=98.7σ=16.2P(X&lt;x)=25%x=?

Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.3 and a standard…

A: Given data Mean μ= 97.3 Standard deviation ? = 22.8 First quartile is given by Probability = 0.25

Q: The mean number of English courses taken in a two-year time period by male and female college…

A: Answer:-

Q: A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a…

A: Given Information: Sample size (n) = 88 Sample mean (x¯) = 293 Hypothesized value of population mean…

Q: From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean…

A: From the given information, the Northern Hemisphere icebergs have a mean depth of 270 meters.

Q: Rick operates a concession stand serving Iced Tea at the Los Angeles County Fair.  Ben is the only…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 101.6 and a standard…

A:

Q: Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All…

A: given, Group1: The ships carry 500 passengers Sample size n1=37 Sample average rating x¯1=85.39…

Q: Assume that adults have lQ scores that are normally distributed with a mean of 100.9 and a standard…

A: In this question, it has been given that X follows the normal distribution with mean 100.9 and…

Q: n Professor Krugman's economics course, the correlation between the students' total scores prior to…

A: Solution: Given information:  Let x= The pre‑exam totals  and  y= The final‑exam scores  r= 0.5…

Q: You may need to use the appropriate appendix table or technology to answer this question. A…

A: The university students' exam grades have a normal distribution.Mean score, Standard deviation, The…

Q: The average American consumes 94 liters of alcohol per year. Does the average college student…

A: From the provided information, The sample size (n) = 11 The test statistic = -3.490.

Q: Complete the problem question: The class has a score of 85 with a mean of 70 percent on their…

A:

Q: The scores on an IQ test are normally distributed with a standard deviation of 14 and a mean of 100.…

A: Let X be the IQ score from normal distribution with mean (μ) = 100 and standard deviation (σ) = 14…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.1 and a standard…

A: Given,Mean (μ) = 100.1and standard deviation (σ) = 22.2

Q: 3. Assume that in a political science dass, the teacher gives a midterm and a final exam. Assume…

A:

Q: A group of adult males has foot lengths with a mean of 27.94 cm and a standard deviation of 1.27 cm.…

A: From the provided information,

Q: A test has a mean score of 55 with a standard deviation of 12. Using the Empirical Rule determine…

A:

Q: According to a leasing firm's reports, the mean number of miles driven annually in its leased cars…

A: Given Population mean μ=12940, standard deviations σ=2920, n=50, sample mean x̄=12340, level of…

Q: Tobacco and Alcohol Use in Animated Children’s Movies: A data set in lists times (in seconds) that…

A: The null and alternative hypothesis is, The type of test is two tailed test.

Q: 150 mg/DL and a standard deviation of 42 mg/DL. Health experts define a level of 200 mg/DL c more as…

A: It is given asMean = 150Standard deviation = 42

Q: Pumpkins from a local farmer have a mean weight of 16 pounds with a standard deviation of 2.5…

A: Given information: It is given that, Pumpkins from a local farmer have a mean weight of µ = 16…

Q: Calculate z scores from two samples "he tallest living man at one time had a height of 252 cm. The…

A: Given data,Mean is μ=170.25sd is     σ=8.47

Q: Animals of a given weight are operated on in a veterinary hospital. The dose of anesthetic A (in mg)…

A: a. The dose “D” that the vet should administer, in order that 99.9% of animals will be suitably…

Q: The speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one…

A: In this intriguing analysis centered around traffic speeds near Johnson City High School, the…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.8 and a standard…

A:

Q: random sample of 76 eighth-grade​ students' scores on a national mathematics assessment test has a…

A: According to the given information in this question We need to find the test statistic p value and…

Q: (b) The paper also gave the following sample statistics for the percentage of study time that…

A: