Big babies: The National Health Statistics Reports described a study in which a sample of 320 one-year-old baby boys were weighed. Their mean weight was 25.8 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the a 0.01 level of significance and the critical value method with the Critical Values for the Student's t Distribution Table (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.

Question
Big babies: The National Health Statistics Reports described a study in which a sample of 320 one-year-old baby
boys were weighed. Their mean weight was 25.8 pounds with standard deviation 5.3 pounds. A pediatrician claims
that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the
pediatrician's claim is true? Use the a 0.01 level of significance and the critical value method with the
Critical Values for the Student's t Distribution Table
(a) State the appropriate null and alternate hypotheses.
(b) Compute the value of the test statistic.
(c) State a conclusion.
Expand
Transcribed Image Text

Big babies: The National Health Statistics Reports described a study in which a sample of 320 one-year-old baby boys were weighed. Their mean weight was 25.8 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys differs from 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the a 0.01 level of significance and the critical value method with the Critical Values for the Student's t Distribution Table (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: The average cholesterol content of a certain brand of eggs is 210 milligrams, and the standard devia...

A: Hey, since the question is not specified correctly. Here we are finding the probability that mean ch...

Q: An SRS of 380 high school seniors gained an average of ?¯=21.02 points in their second attempt at th...

A: (a)The 95% confidence interval (a , b) is obtained below:From the given information, the sample size...

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those sc...

A: Consider, X be the random variable that represents the IQ scores of adults.It is provided that, X is...

Q: The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National ...

A: Solution:From the given information, the first sample size is 9,800 observations; sample mean is 61....

Q: What are the assumptions underlying the repeated-measures ANOVA

A: Repeated measures ANOVA:Repeated measures ANOVA is a belongs to the family of ANOVA. The repeated me...

Q: An investigator wants to estimate the mean birth weight of infants born full term to mothers who are...

A: Part (A)The provided information are:Confidence level = 95% = 0.95So, significance level (alpha) = 1...

Q: Inorganic phosphorous is a naturally occurring element in all plants and animals, with concentration...

A: From the given information,As given that population is normally distributed for both regions.a)Thus,...

Q: I'm studying for an exam tomorrow, and I keep getting stuck on the same section of problems, no matt...

A: The test is randomized, so, the answers will vary, one of the possible answers is given below:In thi...

Q: NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this bat...

A: The probability of the sample mean lifetime is 16.7 hours or less is 0.0202 and it is obtained below...

Q: Find the standard deviation of the following data. Round your answer to one decimal place. ...

A:    Given that,  x8910111213P(X=x)0.10.20.10.20.20.2

Q: Please show TI 84 steps

A: According to the provided information, a fingerprints expert will correctly identify the match 83% o...

Q: Given a population where p = 0.10, find the standard deviation of the samping distribution when the ...

A: It is given that p is 0.10.

Q: In jumbled box of pens and pencils, the probability of randomly choosing a sharpened pencil is .54 a...

A: Given dataprobability of randomly choosing a sharpened pencil P(S) = 0.54probability of randomly cho...

Q: Only question c I cannot figure it out

A: c). From the provided information, Guitar sales is the response variable (y) and YouTube Views is th...

Q: Find the value of the test statistic z.   The claim is that the proportion of drowning deaths of chi...

A: It is given that the claim is the proportion of drowning deaths of children attributable to beaches ...

Q: Jobs and productivity! How do banks rate? One way to answer this question is to examine annual profi...

A: Calculation of confidence interval:The mean is calculated using the Excel software. After entering t...

Q: A classic counting problem is to determine the number of different ways that the letters of "differe...

A: According to the principle, if there are n objects with r1 objects of one kind, r2 objects of anothe...

Q: 2. A study based on a sample size of 36 reported a mean of 87 with a margin of error of 10 for 95% c...

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will an...

Q: Problem 29 d.

A: The null and alternative hypotheses are given below:H0: µ = 21.62Ha: µ ≠ 21.62Procedure to find samp...

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per m...

A: It is given that mean and standard deviation are 76.0 and 12.5, respectively.

Q: Please show TI 84 steps

A: Click to see the answer

Q: Please see the picture. I asked this question before and it was answered but it was completely blank...

A: Note:Hey there! Sorry for the inconvenience. There must have been a technical issue. Hope you find t...

Q: Please show TI 84 steps

A: Note:Hey, since there are multiple sub-parts question posted, we will answer first three sub-parts. ...

Q: 5. Suppose that the probability of obtaining zero defective items in a sample of 50 items off the as...

A: It is given that P(getting zero defective items) is 0.34 and P(getting 1 defective items) is 0.46.

Q: Give an example of two independent samples. For example in testing whether a new drug works, the tre...

A: There are many applications based on the independent samples in a continuous scale. The independent ...

Q: In this boxplot the numeric variable box office gross (sales) of films is plotted by the genre of th...

A: As per the questiona)From the box plot, Among the SciFi, Asian Market has the highest Inter Quantile...

Q: Need answers to questions 8-11.

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will an...

Q: Figure 1 shows sample means from samples of size n=100 from a population. Estimate the value of the ...

A: It is given that sample size (n) is 100.The given graph shows that the sample means of a population,...

Q: A pediatrician obtains the heights of her 200 three-year-old female patients.  The heights are norma...

A: It is given that the height of female patients is normally distributed with mean 37.8 inches and sta...

Q: Please show TI 84 steps

A: Computation of mean and standard deviation:Here, n=300; p̂=0.40; q̂=0.60 (=1−0.40).The mean and stan...

Q: SAT scores (out of 2,400) are normally distributed with a mean of 1,500 and a standard deviation of ...

A: It is given that the mean and standard deviation are 1,500 and 300, respectively.

Q: What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of err...

A: Given confidence interval 95%.maximal margin of error = 0.1.The critical Z score for 95% confidence ...

Q: In a state's Pick 3 lottery, you pay $1.48 to select a sequence of three digits (from 0 to 9), such ...

A: Given Total number of picks in lottery = 3Total number of digits from 0 to 9 = 10The amount paid to ...

Q: Suppose x is a normally distributed random variable with u 55 and a 4. Find a value xn of the random...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complet...

A: a)Given:

Q: the distribution of certain test scores  is a nonstandard normal distribution with a mean of 80 and ...

A: Given:Population mean (μ) = 80Population standard deviation (σ) = 3

Q: I have attached a copy of the question. Please answer section C and D of the question

A: Introduction:The test performed in this case is the one-sample t-test, with a greater than type (one...

Q: Problem 1: If X1, X2, ... , Xn are a random sample from a population with mean u and variance o2, us...

A: Introduction:The method of moments estimator equates the population moments with the corresponding s...

Q: the table below is a joint probability table that display the joint probablitly distribution of the ...

A: Note:Hi there! Thank you for posting the question. Since the table is not clear, we observed the fol...

Q: Critical Values for the Student's t Distribution Table to find the critical value or values for the ...

A: (a)The t-test considered here is a one-tailed test.The sample size is, n = 12.Since one of the degre...

Q: Billiard tables have mean degree of balance 0 and standard deviation 1. What is the probability...

A: It is given that the degree of balance is normally distributed with mean 0 and standard deviation is...

Q: I have attached a picture of the question, please only answer section A, B, and C. Thank you.

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

Q: In a​ poll, 69​% of the people polled answered yes to the question​ "Are you in favor of the death p...

A: From the given question,69% of the people polled answered yes to the question.That means, P=69%=0.69...

Q: A population of values has a normal distribution with μ=179 and σ=98.2. You intend to draw a random ...

A: The provided information are:Population mean (µ) = 179.Population standard deviation (σ) = 98.2Sampl...

Q: Is there a doctor in the house? A market research firm reported the mean annual earnings of all fami...

A: a) From the given information, the claim of the problem is testing whether the mean salary for famil...

Q: Calculate the variance and standard deviation  449,489,548,579,337,424,567,472,392,291,527,449,460,6...

A: Given,449,489,548,579,337,424,567,472,392,291,527,449,460,622Standard deviation is a measure of disp...

Q: (Round to two decimal places as needed.) d. Find P p>0 43) The probability that p is greater than 0....

A: The provided data is sample size, n is 77 and the probability of success, p is 0.4.The mean and stan...

Q: Sam computed a 90% confidence interval for μ from a specific random sample of size n. He claims that...

A: Sam computed a 90% confidence interval for µ from a specific random sample of size n.

Q: 5. A researcher has data for 33 states' data on soda taxes and obesity rate (percent of people who a...

A: 1)Interpretation from the estimated coefficient of SodaTaxIf we increase Soda tax by one percent, we...

Q: The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed b...

A: Given sample size of black coffee cups n = 50Caffeine content mean = 110mgStandard deviation = 7.1 m...