is a simple random sample.1) Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when theyenteringentered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs onprogram versus their current GPAs.theEntering GPA3.53.83.63.63.53.94.03.93.53.7Current GPA3.63.73.93.63.93.83.73.93.84.0 Assume that the sample of paired data is a simple random sample.2) Use the given data in Question 1) and a significance level of 0.05 to test the claim that there is a linear correlationbetween entering GPA and current GPA. Use the p-value method.(a) Set up the null hypothesis and alternative hypothesis and indicate the claim.(b) Calculate the test statistic. Be sure to set up the equation. Round to three decimal places.(c) Find the p-value. Round to four decimal places.(d) Make a decision about the null hypothesis. Be sure to explain how you make the decision.(e) Wrrite a complete a conclusion about the original claim.

The question is about correlation Given : To find : a ) Null and alt. hypo b ) Test stat c ) p…

Answered: Assume that the sample of paired data…

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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• where not met in 200 iterations Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant linear correlation between advertising cost and profit. Use a significance level of 0.01 and round all values to 4 decimal places. Advertising Cost Profit 26 23 20 30 30 27 29 3 4 5 6 7 r= 8 9 10 11 Ho: p = 0 Ha: p = 0 Find the Linear Correlation Coefficient Find the p-value p-value = 29 31 The p-value is Greater than a O Less than (or equal to) a The p-value leads to a decision to Accept Ho O Do Not Reject Ho O Reject Ho The conclusion is O There is a significant negative linear correlation between advertising expense and profit. There is a significant linear correlation between advertising expense and profit. There is a significant positive linear correlation between advertising expense and profit. There is insufficient evidence to make a conclusion about the linear correlation…
Test the indicated claim about the means of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.01 significance level, test the claim that blue enhances performance on a creative task. Red Background Blue Background n1 = 41 n2 = 44 xˉx̄1 = 19.2 xˉx̄2 = 18.7 s1 = 0.88 s2 = 0.35 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer μ(blue) s₁² μ₂ p₂ p̂₁ σ₁² p μ₁ x̄₂ μ x̄₁ p₁ ? < ≥ ≠ ≤ = > Select an answer p₁ μ s₁² σ₁² μ₂ p₂ x̄₁ p̂₁ μ(red) μ₁ p x̄₂ H1: Select an answer x̄₁ x̄₂ p₁ μ₁ μ μ(blue) p p₂ σ₂² s₂² p̂₂ μ₂ ? ≤ < = ≥ ≠ > Select an answer σ₁² x̄₂ p₁ x̄₁ μ₁ p p₂ μ μ₂ p̂₁ s₁² μ(red) Original Claim = Select an answer H₁ H₀ df = Based on…
Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular H2 40 40 0.78244 lb 0.81852 lb 0.00435 lb 0.00752 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? B. Ho: H1 H2 O A. Ho: H1=42 H: P1
You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.01. You have the following bivariate data set. x y 39.3 36.4 52.7 73 50.3 79.8 51.3 71 42 50.8 44.7 74.9 59.2 39.5 54.1 31.6 43.5 90.5 What is the critival value for this hypothesis test?rc.v. = What is the correlation coefficient for this data set?r = Your final conclusion is that... There is insufficient sample evidence to support the claim the there is a correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables. Note: Round to three decimal places when necessary.
A community college wants to analyze the age and GPA of its students. Here is the data: Age 18 40 25 38 44 19 51 28 31 21 24 GPA 2.9 3.3 2.0 3.9 3.7 2.7 3.9 3.5 1.9 2.9 3.4 Can we say that there is a significant relationship between these variables? (Use α = .05) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:
Use the data below taken from a random sample of adults, and the a = 0.01 level of significance, to determine whether or not there is a significant, positive linear correlation between the length of a person's arm and the amount of money they contribute annually to charity. Which would be correct hypotheses for this test? Sample Data: Ho: p= 0; H₁: p=0 Ho p= 0; H₁: p > 0 Ho : μ = 0; H1 :μ > 0 Ho: p = 0; H₁: p<0 Arm length (cm) Charitable Giving ($) 199 368.6 202 348.74 209 358.41 200 356.72 199 350.71 202 213 193 198 207 208 195 .627 What is the Pearson Correlation Coefficient for the sample data (n)? (Round to three decimals) .029 349.7 374.59 345.04 343.88 358.67 349.41 343.95 Give the P-value: (Round to three decimals) X
Is there a significant relationship between subject’s IQ and pre-test scores?α =.05, two tailed, if the tests needs
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) to (c) below. Reduction in Pain Level After Magnet Treatment (u): n=22, x=0.58, s=0.89 Reduction in Pain Level After Sham Treatment (H2): n=22, x=0.51, s = 1.29 OA. Ho: H₁₂ H₁₁₂ H₁₁
Cathy makes a single deposit into an account earning 2.5% compounded monthly. After five years the account contains $3057.46.how much did she deposit?
Using the following table: 1. Determine a hypothesis to test the relationship between students enrolled 12 months or less and sleep of students, use descriptive statistics to describe the variables both numerically and graphically, identify the appropriate type of statistical test using alpha = 0.05, perform the statistical test (please show steps). ID Months enrolled Sleep 1 12 360 2 6 400 3 8 420 4 10 440 5 48 540 6 48 480 7 36 320 8 32 440 9 6 300 10 22 420 11 15 500 12 20 400 13 11 440 14 18 300 15 29 360 16 13 480 17 49 410 18 16 430 19 24 330 20 8 480
You wish to determine if there is a linear correlation between the two variables at a significance level of a = 0.01. You have the following bivariate data set. X y 64.4 45.7 43.9 165.3 63.9 -15.5 65.5 12.6 64 73.9 63 25.9 59.9 34.8 45.1 99.2 What is the critival value for this hypothesis test? rc.v. = What is the correlation coefficient for this data set? r = Your final conclusion is that... O There is insufficient sample evidence to support the claim the there is a correlation between the two variables. There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables.
The manager knows from previous years that the company will provide an annual bonus if theaverage sales per customer is greater than $80.00. Based on this sample – with a 5% level ofconfidence – should they expect an annual bonus? t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 77.6005 0 Variance 3098.585 0 Observations 100 100 Pearson Correlation #DIV/0! Hypothesized Mean Difference 80 df 99 t Stat -0.43106 P(T<=t) one-tail 0.33368 t Critical one-tail 1.660391 P(T<=t) two-tail 0.667361 t Critical two-tail 1.984217 Here is the data that I ran through excel. I am having a hard time with the hypothesis, decision, and summary.

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