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    Hypothesis and identifying a Claim

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    a. State the hypotheses and identify the claim
    b. Find the critical value
    c. Compute the test value
    d. Make the decision
    e. summarize the results and explain where the differences in the mean are

    Question # 1 Number of State Parks The number of state parks found in selected states in three different regions of the country are listed below at a = 0.05 can it be concluded that the average number of state parks differ by region
    South West New England
    51 28 94
    64 44 72
    35 24 14
    24 31 52
    47 40

    Question # 2 Grams of fat per serving of pizza. The number of grams of fat per serving for three different kinds of pizza from several manufacturers is listed below. At the 0.01 level of significance, is there sufficient evidence that a difference exists in the mean fat content?
    Cheese Pepperoni Supreme/Deluxe
    18 20 16
    11 17 27
    19 15 17
    20 18 17
    16 23 12
    21 23 27
    16 21 20

    Question # 3
    Information Gathering and Educational Background. An instructor wishes to see if the way people obtain information is independent of their educational background. A survey of 400 high school and college graduates yielded this information. At a = 0.05, test the claim that the way people obtain information is independent of their educational background.

    Television Newspaper Other Sources
    High school 159 90 51
    College 27 42 31

    Question #4
    Effectiveness of a new drug to test the effectiveness of a new drug, a researcher gives one group of individuals the new drug and another group a placebo. The results of the study are shown here at a = 0.10 can the researcher conclude that the drug is effective? Use the P - value method

    Medication Effective Not effective
    Drug 32 9
    Placebo 12 18

    I need help with these 2 problems as well and I need it to include
    a. State the hypotheses and identify the claim
    b. Find the critical value
    c. Compute the test value
    d. Make the decision
    e. Summarize the results

    Question# 5.Combating Midday Drowsiness. A researcher wishes to see if the five ways (drinking decaffeinated beverages, taking a nap, going for a walk, eating a sugary snack, other) people use to combat midday drowsiness are equally distributed among office workers. A sample of 60 office workers is selected, and the following data are obtained. At a = 0.10 can it be concluded that there is no preference? Why would the results be of interest to an employee?
    Method Beverage Nap Walk Snack Other
    Number 21 16 10 8 5

    Question 6. On-Time Performance by airlines. According to the Bureau of Transportation statistics, on-time performance by airlines is described as follows:
    Action % of time
    On time 70.8
    National Aviation System Delay 8.2
    Aircraft arriving late 9.0
    Other (because of weather and other conditions) 12.0
    Records of the 200 flights for a major airline company showed that 125 planes were on time, 40 were delayed because of weather, 10 because of a national aviation system delay and the rest because of arriving late. At a = 0.05 do these results differ from the government's statistics?

    © BrainMass Inc. brainmass.com October 9, 2019, 11:22 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/statistics-254129

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    I need help with the following 4problems and they need to include
    a. State the hypotheses and identify the claim
    b. Find the critical value
    c. Compute the test value
    d. Make the decision
    e. summarize the results and explain where the differences in the mean are

    Question # 1 Number of State Parks The number of state parks found in selected states in three different regions of the country are listed below at a = 0.05 can it be concluded that the average number of state parks differ by region

    South West New England
    51 28 94
    64 44 72
    35 24 14
    24 31 52
    47 40

    Solution:

    Claim: To find whether the average number of state parks differ by region.

    Hypotheses:

    H0: µ1 = µ2 = µ3

    H1: µ1 ≠ µ2 ≠ µ3

    Critical value:

    F0.05, 2, 11 = 3.98

    Test Statistic:

    By Using Excel

    One factor ANOVA

    Mean n Std. Dev
    44.2 5 15.32 South
    33.4 5 8.35 West
    58.0 4 33.98 New England
    44.3 14 21.53 Total

    ANOVA table
    Source SS df MS F p-value
    Treatment 1,344.86 2 672.429 1.58 .2494
    Error 4,682.00 11 425.636
    Total 6,026.86 13

    Decision:

    Since the f calculated value(1.58) is less than the critical value(3.98) we may accept the null hypotheses

    Conclusion:

    Hence we conclude that average number of state parks does not differ by region

    Question # 2 Grams of fat per serving of pizza. The number of grams of fat per serving for three different kinds of pizza from several manufacturers is listed below. At the 0.01 level of significance, is there sufficient evidence that a difference exists in the mean fat content?
    Cheese Pepperoni Supreme/Deluxe
    18 20 16
    11 17 27
    19 15 17
    20 18 17
    16 23 12
    21 23 27
    16 21 20

    Solution:

    Claim: To find whether difference exists in the mean fat content.

    Hypotheses:

    H0: µ1 = µ2 = µ3

    H1: µ1 ≠ µ2 ≠ µ3

    Critical value:

    F0.05, 2, 18 = 6.01

    Test Statistic:

    By Using Excel

    One factor ANOVA

    Mean n Std. Dev
    17.3 7 3.35 Cheese
    19.6 7 3.05 Pepperoni
    19.4 7 5.68 Supreme
    18.8 21 4.12 Total

    ANOVA table
    Source SS df MS F p-value
    Treatment 22.95 2 11.476 0.65 .5329
    Error 316.86 18 17.603
    Total 339.81 20
    Decision:

    Since the f calculated value(0.65) is less than the critical value(6.01) we may accept the null hypotheses

    Conclusion:

    Hence we conclude ...

    Solution Summary

    The solution examines hypothesis tests and identifies the claim. The critical and test value are determined for multiple situations.

    $2.19