### Hypothesis Testing for MPG ClaimsThe manufacturer claims that your new car gets 34 mpg on the highway. You suspect that the mpg is more for your car. The 42 trips on the highway that you took averaged 35.8 mpg and the standard deviation for these 42 trips was 4 mpg. What can be concluded at the \( \alpha = 0.10 \) level of significance?---**a. For this study, we should use:** [Select an answer]**b. The null and alternative hypotheses would be:**\[ H_0: \] [Select an answer] \[ \]\[ H_1: \] [Select an answer] \[ \]---**c. The test statistic \[ ? \] =** [_____] (please show your answer to 3 decimal places)**d. The p-value =** [_____] (Please show your answer to 4 decimal places)---This exercise involves testing the manufacturer's claim regarding the mpg (miles per gallon) of a new car. Use appropriate statistical methods to determine if your car's mpg is significantly higher than claimed by the manufacturer at the 0.10 significance level.

Givensample size(n)=42Mean(x)=35.8standard deviation(s)=4α=0.10

Answered: The manufacturer claims that your new…

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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If Lynell requires her results to be statistically significant at level ?=0.05α=0.05, choose the correct decision for her to make about this test, along with the correct reason for making that decision. Reject ?0H0, because the ?P-value is less than 0.05. Fail to reject ?0H0, because the the difference between the sample count and the expected count is −12.00−12.00, which is too small to be significant. Fail to reject ?0H0, because the ?P-value is less than 0.05. Reject ?0H0, because the ?P-value is greater than 0.01.
Explain how each of the following influences the value of the z-score in a hypothesis test a. increasing the difference between the sample mean and the original population mean b. increasing the population standard deviation c. increasing the number of scores in the sample
Consider the following hypothesis test: H0: 4 = 15 Ha: H# 15 A sample of 50 provided a sample mean of 14.28. The population standard deviation is 7. a. Compute the value of the test statistic (to 2 decimals). (1f answer is negative, use minus "." sign.) -1.02 b. What is the p-value (to 4 decimals)? 0.3077 c. Using a = .05, can it be concluded that the population mean is not equal to 157 No Answer the next three questions using the critical value approach. d. Using a = .05, what are the critical values for the test statistic (to 2 decimals)? 1.96 e. State the rejection rule: Reject Ho if z is less than the lower critical value and is greater than the upper critical value. f. Can it be concluded that the population mean is not equal to 157 No
Which of the following describes a Type I error? A. Error associated with decisions to retain the null B. You decide that there is a statistical difference when there is actually no difference C. You decide that there is no difference when there is actually a statistical difference
We have Ho : p = .4 and H1: p > .4. You run 50 experiments and find that the sample proportion is .42. Use alpha = .01 to test the hypothesis.
A sociologist claims that the students’ college GPA’s in unrelated to their families’ incomes. For a random sample of 20 students the coefficient of correlation was computed as 0.40. Using the 0.01 significance level, do the formal hypothesis test.Remember to show your steps (including all relevant information) show the steps on how to solve it
Write the null and hypothesis for this test.
how do i solve for parts b, d, and e?
Read the problem below and answer the following questions. 1) What statistical test should be used to solve this problem? 2) State the null and alternative hypotheses for the test. Bicep strength (kg/cm2) was measured in 2 groups of 12 males each (age=18-25). One group received a hormone injection (H) and the other did not (NH). Is mean bicep strength greater in the group receiving the hormone injection? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px A V ...
You wish to test the following claim (Ha) at a significance level of a = 0.001. Н.: д — 89.2 На : д < 89.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 79.4 81.2 103.6 68.7 79.8 96.4 59.8 91.4 82.7 91.8 63 76.2 68.7 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
A sociologist believed that the average family size in Saskatchewan was larger than the average family size in British Columbia. Random samples from the two provinces yielded the following results: s? Saskatchewan (Pop 1) British Columbia (Pop 2) 3.45 1.34 60 2.89 1.32 52 Test at a = 0.05 whether there is sufficient evidence to support the claim. As well, calculate the p-value for this test.
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?

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