Question

In: Statistics and Probability

The average fruit fly will lay 381 eggs into rotting fruit. A biologist wants to see...

The average fruit fly will lay 381 eggs into rotting fruit. A biologist wants to see if the average will change for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 393, 398, 355, 365, 354, 384, 381, 386, 351, 350, 387, 394, 390, 370 What can be concluded at the the α = 0.10 level of significance level of significance?

  1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
  2. The null and alternative hypotheses would be:

H0:H0:  ? p μ  ? = > ≠ <       

H1:H1:  ? μ p  ? ≠ = > <    

  1. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is ? ≤ >  αα
  4. Based on this, we should Select an answer accept reject fail to reject  the null hypothesis.

Solutions

Expert Solution

Answer a)

In this case, we will be using t-test for a population mean.

Answer b)

The null and alternative hypotheses would be:

H0: μ = 381

H1: μ ≠ 381

Answer c)

For calculating test statistic, first, we need to calculate mean and standard deviation

Step 1: Find the mean

Mean = (393+398+355+365+354+384+381+386+351+350+387+394+390+370)/14 = 375.5714

The test statistic t = -1.160

Answer d)

P-value corresponding to t = -1.60 and df = 14-1 = 13 is 0.2669 (Obtained using calculator. screenshot below)

Answer e)

In this case α = 0.10, therefore

The p-value is > α

Answer f)

Since p-value = 0.2669 > α = 0.10, we fail to reject null hypothesis


Related Solutions

The average fruit fly will lay 400 eggs into rotting fruit. A biologist wants to see...
The average fruit fly will lay 400 eggs into rotting fruit. A biologist wants to see if the average will change for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 410, 415, 411, 404, 369, 395, 408, 374, 398, 386, 379 What can be concluded at the the α...
Snow Geese lay 4 eggs in a nest. A field biologist wanted to know if there...
Snow Geese lay 4 eggs in a nest. A field biologist wanted to know if there is a relationship between the order in which the eggs are laid and the sex of each egg. Please see the table below. Egg order -> 1 2 3 4 Total Male 17 16 7 5 45 Female 10 9 17 14 50 Total 27 25 24 19 95 Is there a relationship between sex and laying order in snow geese? 1. What are...
The Leghorn breed of chicken is marketed as being able to lay on average 280 eggs...
The Leghorn breed of chicken is marketed as being able to lay on average 280 eggs a year it's first season of laying. A small-time chicken farmer has been disappointed with the results of his leghorn hens and decides to test the claim. Working with a large group of chicken farmers, he randomly selects, tags, and monitors the egg-laying of 70 leghorns for their entire first season of laying. Suppose that mistakenly a two-tailed test was conducted and the test...
The Leghorn breed of chicken is marketed as being able to lay on average 280 eggs...
The Leghorn breed of chicken is marketed as being able to lay on average 280 eggs a year it's first season of laying. A small-time chicken farmer has been disappointed with the results of his leghorn hens and decides to test the claim. Working with a large group of chicken farmers, he randomly selects, tags, and monitors the egg-laying of 70 leghorns for their entire first season of laying. Suppose the chicken farmer conducts the test and finds a p-value...
The Leghorn breed of chicken is marketed as being able to lay on average 280 eggs...
The Leghorn breed of chicken is marketed as being able to lay on average 280 eggs a year it's first season of laying. A small-time chicken farmer has been disappointed with the results of his leghorn hens and decides to test the claim. Working with a large group of chicken farmers, he randomly selects, tags, and monitors the egg-laying of 70 leghorns for their entire first season of laying. Suppose the chicken farmer conducts the test and finds a p-value...
The Leghorn breed of chicken is marketed as being able to lay on average 280 eggs...
The Leghorn breed of chicken is marketed as being able to lay on average 280 eggs a year it's first season of laying. A small-time chicken farmer has been disappointed with the results of his leghorn hens and decides to test the claim. Working with a large group of chicken farmers, he randomly selects, tags, and monitors the egg-laying of 70 leghorns for their entire first season of laying. What alternative hypothesis would be tested to show that the marketed...
In the fruit fly, Drosophila melanogaster, a wingless female fly is mated to a male that...
In the fruit fly, Drosophila melanogaster, a wingless female fly is mated to a male that is white-bodied and legless. Assume that all alleles causing these phenotypes are recessive. Phenotypically wild-type F1 female progeny were mated to fully homozygous (mutant) males, and the following progeny were observed: Phenotypes Number Observed wingless                           324 wild-type                             34 white, wingless                 135 white                                   8 white, legless                   319 hairless, white, legless     32 hairless                              140 hairless, legless               9 (a) With respect to the three genes mentioned in the problem, what are the genotypes...
. Frogs and insects lay hundreds of eggs and have hundreds of offspring. If that is...
. Frogs and insects lay hundreds of eggs and have hundreds of offspring. If that is the case, why are we not overrun with frogs and insects? How does nature select which offspring will survive?
In the fruit fly, Drosophila melanogaster, a spineless (sp, no wing bristles) female fly is mated...
In the fruit fly, Drosophila melanogaster, a spineless (sp, no wing bristles) female fly is mated to a male that is claret (cl, dark eyes) and hairless (h, no thoracic bristles). Phenotypically wild type F1 female progeny were mated to fully homozygous (mutant) males and the following progeny (1000 total) were observed.             PHENOTYPES                    NUMBER OBSERVED             spineless                                             316             wild                                                         8             claret, spineless                                  136             claret                                                     37             claret, hairless                                    304             hairless, claret, spineless                     12             hairless                                               144             hairless, spineless                                43 What is the correct gene map for these genes?...
Long wings in fruit flies are dominant to vestigial wings. A long winged fruit fly is...
Long wings in fruit flies are dominant to vestigial wings. A long winged fruit fly is crossed with a vestigial winged fly. What are the genotypes of the parents and offspring if the cross results in 72 long winged and 68 vestigial winged offspring.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT