Question

1. A student wonders if people from small towns are friendlier than the general population. To...

1.

A student wonders if people from small towns are friendlier than the general population. To test this hypothesis he gives 100 people a friendliness survey. The population mean for this survey is 50 with a standard deviation of 12. The mean for his sample is 52.5. Compute a z for a sample mean to determine if his hypothesis was supported. Use α = .05, one-tailed. What are the one-tailed null and research hypotheses for this study?

a.

H0: µ = 50, H1: µ ≠ 50

b.

H0: µ < 50, H1: µ ≥ 50

c.

H0: µ ≤ 50, H1: µ > 50

d.

H0: µ = 50, H1: µ >50

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Given that, population mean = 50 and population standard deviation = 12

sample size = 100 and sample mean = 52.5

The one-tailed null and research hypotheses for this study are,

H0 : μ = 50

H1 : μ > 50

Answer : d)

Add a comment
Know the answer?
Add Answer to:
1. A student wonders if people from small towns are friendlier than the general population. To...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • USA Today reported that the population mean life span of people who live in Hawaii is...

    USA Today reported that the population mean life span of people who live in Hawaii is 77 years. A random sample of 20 obituary notices gave a sample mean life span of ?̅= 71.4 years and a sample standard deviation s = 20.65 years. Assuming that the life span of people in Hawaii is normally distributed, does this indicate that the population mean life span is less than 77 years? Use a 5% level of significance. a.) What is α?...

  • Test the claim that the mean GPA of night students is larger than 2.6 at the...

    Test the claim that the mean GPA of night students is larger than 2.6 at the .10 significance level. The null and alternative hypothesis would be: H0:p=0.65H0:p=0.65 H1:p<0.65H1:p<0.65 H0:p=0.65H0:p=0.65 H1:p>0.65H1:p>0.65 H0:μ=2.6H0:μ=2.6 H1:μ<2.6H1:μ<2.6 H0:μ=2.6H0:μ=2.6 H1:μ>2.6H1:μ>2.6 H0:μ=2.6H0:μ=2.6 H1:μ≠2.6H1:μ≠2.6 H0:p=0.65H0:p=0.65 H1:p≠0.65H1:p≠0.65 The test is: left-tailed right-tailed two-tailed Based on a sample of 50 people, the sample mean GPA was 2.61 with a standard deviation of 0.02 The test statistic is:  (to 2 decimals) The critical value is:  (to 2 decimals) Based on this we: Reject...

  • #1: Food scientists and nutritionists at the Sale Mart Supermarket chain want to estimate the true...

    #1: Food scientists and nutritionists at the Sale Mart Supermarket chain want to estimate the true mean cholesterol content in their house brand blocks of Colby Jack cheese. Industry standards indicate that the population standard deviation is 2.5 mg. Determine the minimum sample size necessary to estimate to within 0.5 mg of the true population mean and with 95% confidence. (a) 95 (b) 96 (c) 97 (d) 98    (e) None of these answers #2: Food scientists and nutritionists at...

  • 1. Test the claim that the mean GPA of night students is significantly different than 2.4...

    1. Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.2 significance level. The null and alternative hypothesis would be: a) H0:μ=2.4 H1:μ>2.4 b) H0:μ=2.4 H1:μ<2.4 c) H0:p=0.6 H1:p<0.6 d) H0:p=0.6 H1:p>0.6 e) H0:p=0.6 H1:p≠0.6 f) H0:μ=2.4 H1:μ≠2.4 2. The test is: a) left-tailed b) right-tailed c) two-tailed 3. Based on a sample of 35 people, the sample mean GPA was 2.44 with a standard deviation of 0.04 The test statistic is:...

  • A random sample of n - 16 scores is selecdted from a normal population with a...

    A random sample of n - 16 scores is selecdted from a normal population with a mean of p - 50. After atreatment is administered to the individuals in the sample, the sample mean is found to be M -54 If the population standard deviation is σ-8, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α-.05. (Hint: Recall that the critical value for a two-tailed test with α-.05 is...

  • Watching TV: The 2012 general Social Survey asked a large number of people how much time...

    Watching TV: The 2012 general Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 3.09 with a standard deviation of 2.72. Assume that in a sample of 34 teenagers, the sample standard deviation of daily TV time is 1.9 hours, and that the population of TV watching times is normally distributed. Can you conclude that the population standard deviation of TV watching times for teenagers differs...

  • A sample of size 100, taken from a population whose standard deviation is known to be...

    A sample of size 100, taken from a population whose standard deviation is known to be 8.90, has a sample mean of 51.16. Suppose that we have adopted the null hypothesis that the actual population mean is greater than or equal to 52, that is, H0 is that μ ≥ 52 and we want to test the alternative hypothesis, H1, that μ < 52, with level of significance α = 0.05. a) What type of test would be appropriate in...

  • Do you prefer paintings in which the people are fully clothed? This question was asked by...

    Do you prefer paintings in which the people are fully clothed? This question was asked by a professional survey group on behalf of a national arts organization. A random sample of n1 = 56 people who are conservative voters showed that r1 = 43 said yes. Another random sample of n2 = 65 people who are liberal voters showed that r2 = 37 said yes. Does this indicate that the population proportion of conservative voters who prefer art with fully...

  • A sample of n = 6 individuals is selected from a population with µ = 25....

    A sample of n = 6 individuals is selected from a population with µ = 25. After a treatment is administered to the individuals, the sample mean is found to be M = 27. A. If the sample variance is s = 4, then conduct a hypothesis test to evaluate the significance of the treatment effect and calculate r2 to measure the size of the treatment effect. Use a two-tailed test with α = .05. B. If the sample variance...

  • A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...

    A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left.      No, the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT