Math

StatisticsQ&A LibraryTest the following claim. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion aboutthe null hypothesis, and final conclusion that addresses the original claim.Tests of older baseballs showed that when dropped 20 ft onto a concrete surface, they bounced an average of 236.6 cm. In atest of 40 new baseballs, the bounce heights had a mean of 234.5 cm. Assume that the standard deviation of bounce heightsof all new baseballs is 4.5 cm. Use a 0.05 significance level to test the claim that the new baseballs have bounce heights witha mean different from 236.6 cm. Are the new baseballs different?What is the value of the test statistic? (You will need todecide whether to use z-scores or t-scores)z or t= (Round to two decimal places as needed.)Identify the critical value(s) of z or t.z or t=(Round to two decimal places as needed. Use a comma to separate answers as needed.)V Ho. ThereV sufficient evidence to support the claim that the new baseballs are different.Question

Asked Feb 5, 2020

2 views

Step 1

From the provided information,

Sample size (*n*) = 40

The mean of bounce height (*x̄*) = 234.5 cm

Standard deviation (*s*) = 4.5 cm

The hypotheses can be constructed as:

Null hypothesis: *H*_{0}:*µ*=236.6 cm

Alternative hypothesis: *H*_{0}:*µ*≠236.6 cm

Here *µ* is the population mean. The test is two tailed.

Step 2

Since the sample size is greater than 30 so the *z* test can be used. When *n* > 30 than *σ* can be replaced by *s*.

Now, the test statistic can be obtained as:

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Question 3 A survey sponsored by The American Dietetic Association and the agribusiness giant ConA...

A: a.The following additional information would be mandatory before accepting the results of the survey...

Q: 8. High density lipoprotein (HDL) in healthy males follows a normal distribution with a mean of 50 a...

A: It is given that HDL in healthy males is normally distributed with mean 50 and standard deviation of...

Q: 4. Complete the Cronbrachs Alpha for: When you compute your alpha- then interpret is this score cons...

A: The value of Cronbach’s alpha is obtained using Minitab. Steps for which is shown as:Enter the data ...

Q: Many standard statistical methods that you will study in Part II of this book are intended for use w...

A: The mean for the IQ data is obtained below:The value of mean is,

Q: A hypothesis test based on a simple random paired sample is to be performed to compare the means of ...

A: The paired difference has the outliers.

Q: you pick three cards from a deck with replacing the card each time before picking the next card what...

A: Click to see the answer

Q: The CDC (Center for Disease Control) did a study to see if there is an association between lung canc...

A: Click to see the answer

Q: Angela wants to estimate the mean number of siblings for each student in her school. She records the...

A: Explanation:Here, estimate the mean number of siblings for each student in Angela school. Moreover, ...

Q: Need help with question 2

A: GivenData of how many ice cream sold vs temperature on that day.The predictor variable or independen...